Introduction

In recent years, health economics has emerged as a dynamic field of research, gaining increasing attention due to its critical role in shaping healthcare policies and improving the overall well-being of populations. This research project aims to investigate the factors influencing heart disease, using US-American health data from the Behavioral Risk Factor Surveillance System (BRFSS) Survey 2022, provided by the Centers for Disease Control and Prevention (CDC). Specifically, we intend to employ a set of machine learning algorithms to analyze the BRFSS dataset.

While there is extensive research on this topic, little work has been carried out with machine learning techniques. Machine learning models with high predictive power can help determine the best course of treatment for a patient with a heart failure diagnosis. This approach assists doctors in making early diagnoses that reduce costs (G C et al., 2019). Previous research has achieved a 90.16% accuracy with a logistic regression and 90% with AdaBoost (Samineni, 2023) or 87% using k-Nearest Neighbors Classifier (Kamboj, 2018). Already existing literature agrees on elevated cholesterol levels, high blood pressure, diabetes, obesity, smoking and the lack of physical activity as main causes of cardiovascular heart diseases (CHD). However, the CDC’s dataset does not cover all of those causes as variables - cholesterol and blood pressure are missing. Therefore, this seminar paper deals with two specific questions. By using the CDC’s dataset we first verify the main causes already investigated by the literature using both random forest and XG-boost models. Secondly, we show what other factors can be identified by applying these methods to the CDC’s dataset. As this dataset also features information about COVID-19-infection rate we can also contribute to currently relevant topics within this field of research.

We intend to delevop a model that predicts, which individuals have higher chances of suffering from a heart disease and model the main causes of having a heart disease with machine learning techniques such as the random forest or XGBoost algorithms. The study will explore key determinants of heart disease, such as demographic factors, lifestyle choices, and pre-existing health conditions. In the context of medical data analysis, where the consequences of false negatives (missed diagnoses) can be severe, sensitivity should be prioritized over specificity. Sensitivity measures the ability of a model to correctly identify positive cases, in our case the presence of heart disease. A model with high sensitivity, even at the expense of specificity, minimizes the risk of false negatives and maximizes the detection of true positives. Therefore, in our project, we intend to build a conservative model with high sensitivity, as we rather be too cautious than to overlook a critical condition.

Data, sources and exploration

The data used within this work is part of the 2022 version of the Behavioral Risk Factor Surveillance System from the Centre for Disease Control and Prevention in the US. During this year, data was collected in 50 states of the US as well as the District of Columbia, Guam, the Commonwealth of Puerto Rico, and the US Virgin Islands, using land-line and cellular phone based interviews. Therefore, within this document the term “state” refers to all spatial units participating in the BRFSS. In order to circumvent sampling biases, the CDC applied complex sampling weights to the dataset. We would like to acknowledge that due to constraints posed by the size of the original dataset, we encountered challenges in transforming it for our analysis. As a solution, we opted to utilize a reduced dataset sourced from Kaggle, which contains the most prominent health variables essential for our research objectives. While the original dataset features about 445.000 observations of more than 300 independent variables, our version is already tailored for the specific use of analysing heart disease risk and was published on Kaggle. Therefore, our version only contains 246.022 observations of 40 variables. Moreover, a thorough data cleaning process is already applied to the data. Therefore, we do not have to deal with missing data any longer.

Further information about the data can be found here: https://www.cdc.gov/brfss/annual_data/2022/pdf/Overview_2022-508.pdf

The dataset we use consists of six numerical variables and 34 cateogrical variables. The tables below present the main summary statistics of the dataset.

##     State               Sex            GeneralHealth      PhysicalHealthDays
##  Length:246022      Length:246022      Length:246022      Min.   : 0.000    
##  Class :character   Class :character   Class :character   1st Qu.: 0.000    
##  Mode  :character   Mode  :character   Mode  :character   Median : 0.000    
##                                                           Mean   : 4.119    
##                                                           3rd Qu.: 3.000    
##                                                           Max.   :30.000    
##  MentalHealthDays LastCheckupTime    PhysicalActivities   SleepHours    
##  Min.   : 0.000   Length:246022      Length:246022      Min.   : 1.000  
##  1st Qu.: 0.000   Class :character   Class :character   1st Qu.: 6.000  
##  Median : 0.000   Mode  :character   Mode  :character   Median : 7.000  
##  Mean   : 4.167                                         Mean   : 7.021  
##  3rd Qu.: 4.000                                         3rd Qu.: 8.000  
##  Max.   :30.000                                         Max.   :24.000  
##  RemovedTeeth       HadHeartAttack      HadAngina          HadStroke        
##  Length:246022      Length:246022      Length:246022      Length:246022     
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##   HadAsthma         HadSkinCancer        HadCOPD          HadDepressiveDisorder
##  Length:246022      Length:246022      Length:246022      Length:246022        
##  Class :character   Class :character   Class :character   Class :character     
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character     
##                                                                                
##                                                                                
##                                                                                
##  HadKidneyDisease   HadArthritis       HadDiabetes        DeafOrHardOfHearing
##  Length:246022      Length:246022      Length:246022      Length:246022      
##  Class :character   Class :character   Class :character   Class :character   
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character   
##                                                                              
##                                                                              
##                                                                              
##  BlindOrVisionDifficulty DifficultyConcentrating DifficultyWalking 
##  Length:246022           Length:246022           Length:246022     
##  Class :character        Class :character        Class :character  
##  Mode  :character        Mode  :character        Mode  :character  
##                                                                    
##                                                                    
##                                                                    
##  DifficultyDressingBathing DifficultyErrands  SmokerStatus      
##  Length:246022             Length:246022      Length:246022     
##  Class :character          Class :character   Class :character  
##  Mode  :character          Mode  :character   Mode  :character  
##                                                                 
##                                                                 
##                                                                 
##  ECigaretteUsage     ChestScan         RaceEthnicityCategory AgeCategory       
##  Length:246022      Length:246022      Length:246022         Length:246022     
##  Class :character   Class :character   Class :character      Class :character  
##  Mode  :character   Mode  :character   Mode  :character      Mode  :character  
##                                                                                
##                                                                                
##                                                                                
##  HeightInMeters  WeightInKilograms      BMI        AlcoholDrinkers   
##  Min.   :0.910   Min.   : 28.12    Min.   :12.02   Length:246022     
##  1st Qu.:1.630   1st Qu.: 68.04    1st Qu.:24.27   Class :character  
##  Median :1.700   Median : 81.65    Median :27.46   Mode  :character  
##  Mean   :1.705   Mean   : 83.62    Mean   :28.67                     
##  3rd Qu.:1.780   3rd Qu.: 95.25    3rd Qu.:31.89                     
##  Max.   :2.410   Max.   :292.57    Max.   :97.65                     
##   HIVTesting        FluVaxLast12       PneumoVaxEver      TetanusLast10Tdap 
##  Length:246022      Length:246022      Length:246022      Length:246022     
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##  HighRiskLastYear     CovidPos        
##  Length:246022      Length:246022     
##  Class :character   Class :character  
##  Mode  :character   Mode  :character  
##                                       
##                                       
## 
##  PhysicalHealthDays MentalHealthDays   SleepHours     HeightInMeters 
##  Min.   : 0.000     Min.   : 0.000   Min.   : 1.000   Min.   :0.910  
##  1st Qu.: 0.000     1st Qu.: 0.000   1st Qu.: 6.000   1st Qu.:1.630  
##  Median : 0.000     Median : 0.000   Median : 7.000   Median :1.700  
##  Mean   : 4.119     Mean   : 4.167   Mean   : 7.021   Mean   :1.705  
##  3rd Qu.: 3.000     3rd Qu.: 4.000   3rd Qu.: 8.000   3rd Qu.:1.780  
##  Max.   :30.000     Max.   :30.000   Max.   :24.000   Max.   :2.410  
##  WeightInKilograms      BMI       
##  Min.   : 28.12    Min.   :12.02  
##  1st Qu.: 68.04    1st Qu.:24.27  
##  Median : 81.65    Median :27.46  
##  Mean   : 83.62    Mean   :28.67  
##  3rd Qu.: 95.25    3rd Qu.:31.89  
##  Max.   :292.57    Max.   :97.65
Summary statistics for numerical variables
Variable Min Q1 Median Mean Q3 Max
PhysicalHealthDays 0.00 0.00 0.00 4.12 3.00 30.00
MentalHealthDays 0.00 0.00 0.00 4.17 4.00 30.00
SleepHours 1.00 6.00 7.00 7.02 8.00 24.00
HeightInMeters 0.91 1.63 1.70 1.71 1.78 2.41
WeightInKilograms 28.12 68.04 81.65 83.62 95.25 292.57
BMI 12.02 24.27 27.46 28.67 31.89 97.65
##     State               Sex            GeneralHealth      PhysicalHealthDays
##  Length:246022      Length:246022      Length:246022      Min.   : 0.000    
##  Class :character   Class :character   Class :character   1st Qu.: 0.000    
##  Mode  :character   Mode  :character   Mode  :character   Median : 0.000    
##                                                           Mean   : 4.119    
##                                                           3rd Qu.: 3.000    
##                                                           Max.   :30.000    
##  MentalHealthDays LastCheckupTime    PhysicalActivities   SleepHours    
##  Min.   : 0.000   Length:246022      Length:246022      Min.   : 1.000  
##  1st Qu.: 0.000   Class :character   Class :character   1st Qu.: 6.000  
##  Median : 0.000   Mode  :character   Mode  :character   Median : 7.000  
##  Mean   : 4.167                                         Mean   : 7.021  
##  3rd Qu.: 4.000                                         3rd Qu.: 8.000  
##  Max.   :30.000                                         Max.   :24.000  
##  RemovedTeeth       HadHeartAttack      HadAngina          HadStroke        
##  Length:246022      Length:246022      Length:246022      Length:246022     
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##   HadAsthma         HadSkinCancer        HadCOPD          HadDepressiveDisorder
##  Length:246022      Length:246022      Length:246022      Length:246022        
##  Class :character   Class :character   Class :character   Class :character     
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character     
##                                                                                
##                                                                                
##                                                                                
##  HadKidneyDisease   HadArthritis       HadDiabetes        DeafOrHardOfHearing
##  Length:246022      Length:246022      Length:246022      Length:246022      
##  Class :character   Class :character   Class :character   Class :character   
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character   
##                                                                              
##                                                                              
##                                                                              
##  BlindOrVisionDifficulty DifficultyConcentrating DifficultyWalking 
##  Length:246022           Length:246022           Length:246022     
##  Class :character        Class :character        Class :character  
##  Mode  :character        Mode  :character        Mode  :character  
##                                                                    
##                                                                    
##                                                                    
##  DifficultyDressingBathing DifficultyErrands  SmokerStatus      
##  Length:246022             Length:246022      Length:246022     
##  Class :character          Class :character   Class :character  
##  Mode  :character          Mode  :character   Mode  :character  
##                                                                 
##                                                                 
##                                                                 
##  ECigaretteUsage     ChestScan         RaceEthnicityCategory AgeCategory       
##  Length:246022      Length:246022      Length:246022         Length:246022     
##  Class :character   Class :character   Class :character      Class :character  
##  Mode  :character   Mode  :character   Mode  :character      Mode  :character  
##                                                                                
##                                                                                
##                                                                                
##  HeightInMeters  WeightInKilograms      BMI        AlcoholDrinkers   
##  Min.   :0.910   Min.   : 28.12    Min.   :12.02   Length:246022     
##  1st Qu.:1.630   1st Qu.: 68.04    1st Qu.:24.27   Class :character  
##  Median :1.700   Median : 81.65    Median :27.46   Mode  :character  
##  Mean   :1.705   Mean   : 83.62    Mean   :28.67                     
##  3rd Qu.:1.780   3rd Qu.: 95.25    3rd Qu.:31.89                     
##  Max.   :2.410   Max.   :292.57    Max.   :97.65                     
##   HIVTesting        FluVaxLast12       PneumoVaxEver      TetanusLast10Tdap 
##  Length:246022      Length:246022      Length:246022      Length:246022     
##  Class :character   Class :character   Class :character   Class :character  
##  Mode  :character   Mode  :character   Mode  :character   Mode  :character  
##                                                                             
##                                                                             
##                                                                             
##  HighRiskLastYear     CovidPos        
##  Length:246022      Length:246022     
##  Class :character   Class :character  
##  Mode  :character   Mode  :character  
##                                       
##                                       
## 
Summary statistics for categorical variables
State Sex GeneralHealth LastCheckupTime PhysicalActivities RemovedTeeth HadHeartAttack HadAngina HadStroke HadAsthma HadSkinCancer HadCOPD HadDepressiveDisorder HadKidneyDisease HadArthritis HadDiabetes DeafOrHardOfHearing BlindOrVisionDifficulty DifficultyConcentrating DifficultyWalking DifficultyDressingBathing DifficultyErrands SmokerStatus ECigaretteUsage ChestScan RaceEthnicityCategory AgeCategory AlcoholDrinkers HIVTesting FluVaxLast12 PneumoVaxEver TetanusLast10Tdap HighRiskLastYear CovidPos
Washington: 15000 Female:127811 Excellent:41525 5 or more years ago : 10898 No : 54704 1 to 5 : 74702 No :232587 No :231069 No :235910 No :209493 No :225001 No :227028 No :195402 No :234738 No :161139 No :204834 No :224990 No :233796 No :219802 No :209952 No :237682 No :229638 Current smoker - now smokes every day: 21659 Never used e-cigarettes in my entire life:190128 No :141822 Black only, Non-Hispanic : 19330 Age 65 to 69: 28557 No :110715 No :161520 No :114826 No :146130 No, did not receive any tetanus shot in the past 10 years:81747 No :235446 No :167306
Maryland : 9165 Male :118211 Fair :30659 Within past 2 years (1 year but less than 2 years ago) : 23227 Yes:191318 6 or more, but not all: 25950 Yes: 13435 Yes: 14953 Yes: 10112 Yes: 36529 Yes: 21021 Yes: 18994 Yes: 50620 Yes: 11284 Yes: 84883 No, pre-diabetes or borderline diabetes: 5392 Yes: 21032 Yes: 12226 Yes: 26220 Yes: 36070 Yes: 8340 Yes: 16384 Current smoker - now smokes some days: 8099 Not at all (right now) : 43281 Yes:104200 Hispanic : 22570 Age 60 to 64: 26720 Yes:135307 Yes: 84502 Yes:131196 Yes: 99892 Yes, received Tdap :70286 Yes: 10576 Tested positive using home test without a health professional: 8392
Minnesota : 9161 NA Good :77409 Within past 5 years (2 years but less than 5 years ago): 13744 NA All : 13778 NA NA NA NA NA NA NA NA NA Yes : 33813 NA NA NA NA NA NA Former smoker : 68527 Use them every day : 5955 NA Multiracial, Non-Hispanic : 5581 Age 70 to 74: 25739 NA NA NA NA Yes, received tetanus shot but not sure what type :74119 NA Yes : 70324
Ohio : 8995 NA Poor : 9430 Within past year (anytime less than 12 months ago) :198153 NA None of them :131592 NA NA NA NA NA NA NA NA NA Yes, but only during pregnancy (female): 1983 NA NA NA NA NA NA Never smoked :147737 Use them some days : 6658 NA Other race only, Non-Hispanic: 12205 Age 55 to 59: 22224 NA NA NA NA Yes, received tetanus shot, but not Tdap :19870 NA NA
New York : 8923 NA Very good:86999 NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA White only, Non-Hispanic :186336 Age 50 to 54: 19913 NA NA NA NA NA NA NA
Texas : 7408 NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA Age 75 to 79: 18136 NA NA NA NA NA NA NA
(Other) :187370 NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA (Other) :104733 NA NA NA NA NA NA NA

Data visualisation

Dependent variable

Luckily, not every person is having a heart disease over the course of their lifetime. It is even more unlikely to get a balanced sample from conducting survey interviews. Therefore, our first interest is in analyzing the dependent variable. As the piechart below shows, only 13.435 individuals, or 5% of observations did or still do suffer from heart disease, leading to an unbalanced sample distribution in the dependent variable. We will adress this problem by applin methods such as X, Y and Z.

## [1] 13435

Independent variables

Regarding numerical independent variables the density curves below indicate that having a higher BMI, body weight and the amount of days devoted to physical and mental health reduce the chances of having a heart attack. However, the interpretation of sleeping hours and height of the person seems less clear.

## Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
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## ℹ See also `vignette("ggplot2-in-packages")` for more information.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## Warning: The `size` argument of `element_line()` is deprecated as of ggplot2 3.4.0.
## ℹ Please use the `linewidth` argument instead.
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## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

According to the literature (CDC) the main factors of heart disease are: high blood pressure, high cholesterol, diabetes, smoking, obesity, unhealthy diet, physical inactivity. While physical health days do not offer a clear picture we still have look on the other causes identified graphically.

## Warning: The dot-dot notation (`..count..`) was deprecated in ggplot2 3.4.0.
## ℹ Please use `after_stat(count)` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

For smokers our sample shows that every day smokers have the highest risk of getting a heart disease. However, this does not confirm it’s overall impact on actually getting one. This also holds for the other variables. This section only features visualizations of our sample data.

We can observe how being a smoker, having diabetes and not practicing physical activities, increase the chances of having a heart attack.

## $corr
##                    HadHeartAttack PhysicalHealthDays HadAngina  HadStroke
## HadHeartAttack          1.0000000         0.13341951 0.4459033 0.17713680
## PhysicalHealthDays      0.1334195         1.00000000 0.1491299 0.12873138
## HadAngina               0.4459033         0.14912994 1.0000000 0.15188307
## HadStroke               0.1771368         0.12873138 0.1518831 1.00000000
## HadCOPD                 0.1332226         0.21715793 0.1539604 0.10672292
## HadKidneyDisease        0.1093552         0.14002663 0.1446881 0.09123687
## HadArthritis            0.1177727         0.23337828 0.1458647 0.10018598
## HadDiabetes             0.1350990         0.15013041 0.1433652 0.10290061
## DifficultyWalking       0.1598781         0.43151378 0.1721679 0.16834910
## ChestScan               0.1677603         0.18318046 0.1845024 0.13575099
## AgeCategory             0.1721717         0.08987905 0.1988970 0.13236099
## PneumoVaxEver           0.1199553         0.10121895 0.1577480 0.08906288
##                       HadCOPD HadKidneyDisease HadArthritis HadDiabetes
## HadHeartAttack     0.13322261       0.10935517    0.1177727  0.13509903
## PhysicalHealthDays 0.21715793       0.14002663    0.2333783  0.15013041
## HadAngina          0.15396042       0.14468808    0.1458647  0.14336523
## HadStroke          0.10672292       0.09123687    0.1001860  0.10290061
## HadCOPD            1.00000000       0.08872459    0.1748641  0.09876945
## HadKidneyDisease   0.08872459       1.00000000    0.1290278  0.15498890
## HadArthritis       0.17486414       0.12902778    1.0000000  0.14855986
## HadDiabetes        0.09876945       0.15498890    0.1485599  1.00000000
## DifficultyWalking  0.23899153       0.15818045    0.3185287  0.20260316
## ChestScan          0.19826850       0.12539201    0.2135318  0.13406515
## AgeCategory        0.14633554       0.13636156    0.3789190  0.18341359
## PneumoVaxEver      0.16226789       0.12963099    0.2634148  0.17160136
##                    DifficultyWalking ChestScan AgeCategory PneumoVaxEver
## HadHeartAttack             0.1598781 0.1677603  0.17217169    0.11995535
## PhysicalHealthDays         0.4315138 0.1831805  0.08987905    0.10121895
## HadAngina                  0.1721679 0.1845024  0.19889698    0.15774797
## HadStroke                  0.1683491 0.1357510  0.13236099    0.08906288
## HadCOPD                    0.2389915 0.1982685  0.14633554    0.16226789
## HadKidneyDisease           0.1581804 0.1253920  0.13636156    0.12963099
## HadArthritis               0.3185287 0.2135318  0.37891896    0.26341485
## HadDiabetes                0.2026032 0.1340652  0.18341359    0.17160136
## DifficultyWalking          1.0000000 0.2075584  0.23188481    0.16930781
## ChestScan                  0.2075584 1.0000000  0.26234721    0.21762199
## AgeCategory                0.2318848 0.2623472  1.00000000    0.42431762
## PneumoVaxEver              0.1693078 0.2176220  0.42431762    1.00000000
## 
## $corrPos
##                 xName              yName  x  y       corr
## 1      HadHeartAttack     HadHeartAttack  1 12 1.00000000
## 2  PhysicalHealthDays     HadHeartAttack  2 12 0.13341951
## 3  PhysicalHealthDays PhysicalHealthDays  2 11 1.00000000
## 4           HadAngina     HadHeartAttack  3 12 0.44590331
## 5           HadAngina PhysicalHealthDays  3 11 0.14912994
## 6           HadAngina          HadAngina  3 10 1.00000000
## 7           HadStroke     HadHeartAttack  4 12 0.17713680
## 8           HadStroke PhysicalHealthDays  4 11 0.12873138
## 9           HadStroke          HadAngina  4 10 0.15188307
## 10          HadStroke          HadStroke  4  9 1.00000000
## 11            HadCOPD     HadHeartAttack  5 12 0.13322261
## 12            HadCOPD PhysicalHealthDays  5 11 0.21715793
## 13            HadCOPD          HadAngina  5 10 0.15396042
## 14            HadCOPD          HadStroke  5  9 0.10672292
## 15            HadCOPD            HadCOPD  5  8 1.00000000
## 16   HadKidneyDisease     HadHeartAttack  6 12 0.10935517
## 17   HadKidneyDisease PhysicalHealthDays  6 11 0.14002663
## 18   HadKidneyDisease          HadAngina  6 10 0.14468808
## 19   HadKidneyDisease          HadStroke  6  9 0.09123687
## 20   HadKidneyDisease            HadCOPD  6  8 0.08872459
## 21   HadKidneyDisease   HadKidneyDisease  6  7 1.00000000
## 22       HadArthritis     HadHeartAttack  7 12 0.11777270
## 23       HadArthritis PhysicalHealthDays  7 11 0.23337828
## 24       HadArthritis          HadAngina  7 10 0.14586473
## 25       HadArthritis          HadStroke  7  9 0.10018598
## 26       HadArthritis            HadCOPD  7  8 0.17486414
## 27       HadArthritis   HadKidneyDisease  7  7 0.12902778
## 28       HadArthritis       HadArthritis  7  6 1.00000000
## 29        HadDiabetes     HadHeartAttack  8 12 0.13509903
## 30        HadDiabetes PhysicalHealthDays  8 11 0.15013041
## 31        HadDiabetes          HadAngina  8 10 0.14336523
## 32        HadDiabetes          HadStroke  8  9 0.10290061
## 33        HadDiabetes            HadCOPD  8  8 0.09876945
## 34        HadDiabetes   HadKidneyDisease  8  7 0.15498890
## 35        HadDiabetes       HadArthritis  8  6 0.14855986
## 36        HadDiabetes        HadDiabetes  8  5 1.00000000
## 37  DifficultyWalking     HadHeartAttack  9 12 0.15987808
## 38  DifficultyWalking PhysicalHealthDays  9 11 0.43151378
## 39  DifficultyWalking          HadAngina  9 10 0.17216789
## 40  DifficultyWalking          HadStroke  9  9 0.16834910
## 41  DifficultyWalking            HadCOPD  9  8 0.23899153
## 42  DifficultyWalking   HadKidneyDisease  9  7 0.15818045
## 43  DifficultyWalking       HadArthritis  9  6 0.31852872
## 44  DifficultyWalking        HadDiabetes  9  5 0.20260316
## 45  DifficultyWalking  DifficultyWalking  9  4 1.00000000
## 46          ChestScan     HadHeartAttack 10 12 0.16776031
## 47          ChestScan PhysicalHealthDays 10 11 0.18318046
## 48          ChestScan          HadAngina 10 10 0.18450244
## 49          ChestScan          HadStroke 10  9 0.13575099
## 50          ChestScan            HadCOPD 10  8 0.19826850
## 51          ChestScan   HadKidneyDisease 10  7 0.12539201
## 52          ChestScan       HadArthritis 10  6 0.21353177
## 53          ChestScan        HadDiabetes 10  5 0.13406515
## 54          ChestScan  DifficultyWalking 10  4 0.20755838
## 55          ChestScan          ChestScan 10  3 1.00000000
## 56        AgeCategory     HadHeartAttack 11 12 0.17217169
## 57        AgeCategory PhysicalHealthDays 11 11 0.08987905
## 58        AgeCategory          HadAngina 11 10 0.19889698
## 59        AgeCategory          HadStroke 11  9 0.13236099
## 60        AgeCategory            HadCOPD 11  8 0.14633554
## 61        AgeCategory   HadKidneyDisease 11  7 0.13636156
## 62        AgeCategory       HadArthritis 11  6 0.37891896
## 63        AgeCategory        HadDiabetes 11  5 0.18341359
## 64        AgeCategory  DifficultyWalking 11  4 0.23188481
## 65        AgeCategory          ChestScan 11  3 0.26234721
## 66        AgeCategory        AgeCategory 11  2 1.00000000
## 67      PneumoVaxEver     HadHeartAttack 12 12 0.11995535
## 68      PneumoVaxEver PhysicalHealthDays 12 11 0.10121895
## 69      PneumoVaxEver          HadAngina 12 10 0.15774797
## 70      PneumoVaxEver          HadStroke 12  9 0.08906288
## 71      PneumoVaxEver            HadCOPD 12  8 0.16226789
## 72      PneumoVaxEver   HadKidneyDisease 12  7 0.12963099
## 73      PneumoVaxEver       HadArthritis 12  6 0.26341485
## 74      PneumoVaxEver        HadDiabetes 12  5 0.17160136
## 75      PneumoVaxEver  DifficultyWalking 12  4 0.16930781
## 76      PneumoVaxEver          ChestScan 12  3 0.21762199
## 77      PneumoVaxEver        AgeCategory 12  2 0.42431762
## 78      PneumoVaxEver      PneumoVaxEver 12  1 1.00000000
## 
## $arg
## $arg$type
## [1] "upper"
## png 
##   2

For the correlation matrix we select variables that we expect to have the biggest correlation with our dependent variable. We can see only positive correlations. Heart disease is only considerably correlated with “Had Angina”, which seems plausible as it in itself is a heart disease.

Methodology

In the following section, we will construct, compare, and select predictive machine learning models. We select models by evaluating their performance and determining the impact of different variables on the final model’s efficacy for prediction.

Whether a survey respondent has had a heart disease - the dependent variable - can either be of outcome “yes” or “no”. Therefore, this analysis concerns a classification problem. Due to the complex dynamics that might lead to a heart disease, we already know that the two classes are not uniformly distributed. While for example smoking increases the risk of suffering from a heart disease, this does not have to be the case in general. Therefore, it is expected that the class of people that actually suffered from a heart disease is underrepresented, leading to class imbalance. The presence of such class imbalances implies serious consequences such as estimates becoming biased in favor of predicting the majority class. Furthermore, due to the class imbalance, evaluation metrics such as accuracy might be misleading. Overall, the model might focus on learning patterns from the majority class and may not generalize well to the minority class.In order to circumvent these issues resampling techniques are needed. More precisely, we will begin with under sampling as a method to increase class balance. As an alternative approach, we apply higher weights to the minority class to account for the class imbalance and thus increase the robustness of our predictions.

As already mentioned in this proposal’s introduction, in order to solve this classification problem, we will rely on classification trees based on majority voting as a method of random forests. Moreover, in order to decrease the variance of predictions, we will also address tree nodes such that we achieve a process of decorrelating the individual trees by forcing each split to consider only a random subset of the predictors. This process is especially useful as it prevents trees from always choosing the strongest predictor for the top split. An evaluation of the models will then be carried out by appropriate metrics such as precision, recall and the area under the ROC-curve.

Following the evaluation of our models, hyperparameter tuning processes will be needed in order to find the optimal number of trees, tree depth and subset of predictors considered at each split. However, as we don’t have as of now, we cannot give a detailed explanation of these processes.

Analysis

In the following section, we will construct, compare, and select predictive models, evaluating their performance and determining the impact of different variables on the final model’s efficacy for prediction.

data set up

basic model (caret)

The first model we tried out is from the caret package, using the method “rpart”. This way, we are able to produce the visualization of the model’s decision tree in the end. We incldued a control parameter (control_rf), wich specifies repeated cross-validation with 10 folds and 10 repetitions. The tuning grid (tuning_grid) definies different values for the model complexity (cp) explored in the training of the model.

Firstly, a control object control_rf is defined using trainControl(), specifying the method for cross-validation (repeatedcv), the number of folds (number = 10), the number of repetitions (repeats = 10), enabling class probabilities (classProbs = TRUE), specifying the summary function (twoClassSummary), and enabling the saving of predictions (savePredictions = TRUE).

# defining the tuning grid
tuning_grid <- expand.grid(cp = c(0.001, 0.005, 0.01, 0.05))

#using caret to build trees
rf_caret <- train(
  target ~ ., 
  data = train_df, 
  method = "rpart", 
  trControl = control_rf,
  tuneGrid = tuning_grid,
  metric = "ROC")

rf_caret
## CART 
## 
## 196817 samples
##     39 predictor
##      2 classes: 'No', 'Yes' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 10 times) 
## Summary of sample sizes: 177134, 177135, 177136, 177135, 177136, 177134, ... 
## Resampling results across tuning parameters:
## 
##   cp     ROC        Sens       Spec      
##   0.001  0.7370908  0.9916060  0.20291608
##   0.005  0.7368555  0.9935965  0.15805861
##   0.010  0.5567126  0.9990090  0.02376821
##   0.050  0.5000000  1.0000000  0.00000000
## 
## ROC was used to select the optimal model using the largest value.
## The final value used for the model was cp = 0.001.
#observing the tree
tree <- rf_caret$finalModel
rpart.plot(tree, box.palette="RdBu", nn=FALSE, type=2)

The results from our first try of training the model were quite unsatisfactory. However, from the tree we can observe first variable importance, with the variable “HadAngina” being the most important one, which is plausible since Angina is a heart disease. This is followed by having had a chest scan, removed teeth and had a stroke.

Regarding sample imbalance the data used was not taken care of. In order to account for this, we down sample the data. This means that the majority class is randomly under sampled to balance the class distribution. The R-function “downSample” randomly selects a subset of observations from the majority class to match the number of observations in the minority class. In our case, a subset from “No” is sampled to obtain the number of observations in “Yes”. The results show that afterwards the number of observations for each outcome in the target variable is equal in the sample.

# Performing downsampling
downsampled_data <- downSample(
  x = train_df[, -40],  # Exclude the target variable
  y = train_df$target, 
  yname = "target")

## looking, wether the sample is now balanced
# creating a data frame for plotting
plot_data_down <- data.frame(
  Class = levels(downsampled_data$target),
  Count = table(downsampled_data$target)
)
# Create a bar chart
ggplot(plot_data_down, aes(x = Class, y = Count.Freq, fill = Class)) +
  geom_bar(stat = "identity", color = "black", show.legend = FALSE) +
  labs(title = "Balanced sample distribution",
       x = "Outcomes in target variable") +
  theme_minimal()

# caret model with adjusted data
rf_caret_down <- train(
  target ~ ., 
  data = downsampled_data, 
  method = "rpart", 
  trControl = control_rf,
  tuneGrid = tuning_grid,
  metric = "ROC")
rf_caret_down
## CART 
## 
## 21464 samples
##    39 predictor
##     2 classes: 'No', 'Yes' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 10 times) 
## Summary of sample sizes: 19318, 19318, 19318, 19318, 19318, 19318, ... 
## Resampling results across tuning parameters:
## 
##   cp     ROC        Sens       Spec     
##   0.001  0.8587320  0.8266482  0.7543974
##   0.005  0.8377499  0.8326956  0.7383904
##   0.010  0.8369769  0.8426463  0.7266117
##   0.050  0.7355567  0.9653370  0.5057764
## 
## ROC was used to select the optimal model using the largest value.
## The final value used for the model was cp = 0.001.
#results
basic_balanced_model <- rf_caret_down$finalModel
summary(basic_balanced_model)
## Call:
## (function (formula, data, weights, subset, na.action = na.rpart, 
##     method, model = FALSE, x = FALSE, y = TRUE, parms, control, 
##     cost, ...) 
## {
##     Call <- match.call()
##     if (is.data.frame(model)) {
##         m <- model
##         model <- FALSE
##     }
##     else {
##         indx <- match(c("formula", "data", "weights", "subset"), 
##             names(Call), nomatch = 0)
##         if (indx[1] == 0) 
##             stop("a 'formula' argument is required")
##         temp <- Call[c(1, indx)]
##         temp$na.action <- na.action
##         temp[[1]] <- quote(stats::model.frame)
##         m <- eval.parent(temp)
##     }
##     Terms <- attr(m, "terms")
##     if (any(attr(Terms, "order") > 1)) 
##         stop("Trees cannot handle interaction terms")
##     Y <- model.response(m)
##     wt <- model.weights(m)
##     if (any(wt < 0)) 
##         stop("negative weights not allowed")
##     if (!length(wt)) 
##         wt <- rep(1, nrow(m))
##     offset <- model.offset(m)
##     X <- rpart.matrix(m)
##     nobs <- nrow(X)
##     nvar <- ncol(X)
##     if (missing(method)) {
##         method <- if (is.factor(Y) || is.character(Y)) 
##             "class"
##         else if (inherits(Y, "Surv")) 
##             "exp"
##         else if (is.matrix(Y)) 
##             "poisson"
##         else "anova"
##     }
##     if (is.list(method)) {
##         mlist <- method
##         method <- "user"
##         init <- if (missing(parms)) 
##             mlist$init(Y, offset, wt = wt)
##         else mlist$init(Y, offset, parms, wt)
##         keep <- rpartcallback(mlist, nobs, init)
##         method.int <- 4
##         parms <- init$parms
##     }
##     else {
##         method.int <- pmatch(method, c("anova", "poisson", "class", 
##             "exp"))
##         if (is.na(method.int)) 
##             stop("Invalid method")
##         method <- c("anova", "poisson", "class", "exp")[method.int]
##         if (method.int == 4) 
##             method.int <- 2
##         init <- if (missing(parms)) 
##             get(paste("rpart", method, sep = "."), envir = environment())(Y, 
##                 offset, , wt)
##         else get(paste("rpart", method, sep = "."), envir = environment())(Y, 
##             offset, parms, wt)
##         ns <- asNamespace("rpart")
##         if (!is.null(init$print)) 
##             environment(init$print) <- ns
##         if (!is.null(init$summary)) 
##             environment(init$summary) <- ns
##         if (!is.null(init$text)) 
##             environment(init$text) <- ns
##     }
##     Y <- init$y
##     xlevels <- .getXlevels(Terms, m)
##     cats <- rep(0, ncol(X))
##     if (!is.null(xlevels)) {
##         indx <- match(names(xlevels), colnames(X), nomatch = 0)
##         cats[indx] <- (unlist(lapply(xlevels, length)))[indx > 
##             0]
##     }
##     extraArgs <- list(...)
##     if (length(extraArgs)) {
##         controlargs <- names(formals(rpart.control))
##         indx <- match(names(extraArgs), controlargs, nomatch = 0)
##         if (any(indx == 0)) 
##             stop(gettextf("Argument %s not matched", names(extraArgs)[indx == 
##                 0]), domain = NA)
##     }
##     controls <- rpart.control(...)
##     if (!missing(control)) 
##         controls[names(control)] <- control
##     xval <- controls$xval
##     if (is.null(xval) || (length(xval) == 1 && xval == 0) || 
##         method == "user") {
##         xgroups <- 0
##         xval <- 0
##     }
##     else if (length(xval) == 1) {
##         xgroups <- sample(rep(1:xval, length.out = nobs), nobs, 
##             replace = FALSE)
##     }
##     else if (length(xval) == nobs) {
##         xgroups <- xval
##         xval <- length(unique(xgroups))
##     }
##     else {
##         if (!is.null(attr(m, "na.action"))) {
##             temp <- as.integer(attr(m, "na.action"))
##             xval <- xval[-temp]
##             if (length(xval) == nobs) {
##                 xgroups <- xval
##                 xval <- length(unique(xgroups))
##             }
##             else stop("Wrong length for 'xval'")
##         }
##         else stop("Wrong length for 'xval'")
##     }
##     if (missing(cost)) 
##         cost <- rep(1, nvar)
##     else {
##         if (length(cost) != nvar) 
##             stop("Cost vector is the wrong length")
##         if (any(cost <= 0)) 
##             stop("Cost vector must be positive")
##     }
##     tfun <- function(x) if (is.matrix(x)) 
##         rep(is.ordered(x), ncol(x))
##     else is.ordered(x)
##     labs <- sub("^`(.*)`$", "\\1", attr(Terms, "term.labels"))
##     isord <- unlist(lapply(m[labs], tfun))
##     storage.mode(X) <- "double"
##     storage.mode(wt) <- "double"
##     temp <- as.double(unlist(init$parms))
##     if (!length(temp)) 
##         temp <- 0
##     rpfit <- .Call(C_rpart, ncat = as.integer(cats * !isord), 
##         method = as.integer(method.int), as.double(unlist(controls)), 
##         temp, as.integer(xval), as.integer(xgroups), as.double(t(init$y)), 
##         X, wt, as.integer(init$numy), as.double(cost))
##     nsplit <- nrow(rpfit$isplit)
##     ncat <- if (!is.null(rpfit$csplit)) 
##         nrow(rpfit$csplit)
##     else 0
##     if (nsplit == 0) 
##         xval <- 0
##     numcp <- ncol(rpfit$cptable)
##     temp <- if (nrow(rpfit$cptable) == 3) 
##         c("CP", "nsplit", "rel error")
##     else c("CP", "nsplit", "rel error", "xerror", "xstd")
##     dimnames(rpfit$cptable) <- list(temp, 1:numcp)
##     tname <- c("<leaf>", colnames(X))
##     splits <- matrix(c(rpfit$isplit[, 2:3], rpfit$dsplit), ncol = 5, 
##         dimnames = list(tname[rpfit$isplit[, 1] + 1], c("count", 
##             "ncat", "improve", "index", "adj")))
##     index <- rpfit$inode[, 2]
##     nadd <- sum(isord[rpfit$isplit[, 1]])
##     if (nadd > 0) {
##         newc <- matrix(0, nadd, max(cats))
##         cvar <- rpfit$isplit[, 1]
##         indx <- isord[cvar]
##         cdir <- splits[indx, 2]
##         ccut <- floor(splits[indx, 4])
##         splits[indx, 2] <- cats[cvar[indx]]
##         splits[indx, 4] <- ncat + 1:nadd
##         for (i in 1:nadd) {
##             newc[i, 1:(cats[(cvar[indx])[i]])] <- -as.integer(cdir[i])
##             newc[i, 1:ccut[i]] <- as.integer(cdir[i])
##         }
##         catmat <- if (ncat == 0) 
##             newc
##         else {
##             cs <- rpfit$csplit
##             ncs <- ncol(cs)
##             ncc <- ncol(newc)
##             if (ncs < ncc) 
##                 cs <- cbind(cs, matrix(0, nrow(cs), ncc - ncs))
##             rbind(cs, newc)
##         }
##         ncat <- ncat + nadd
##     }
##     else catmat <- rpfit$csplit
##     if (nsplit == 0) {
##         frame <- data.frame(row.names = 1, var = "<leaf>", n = rpfit$inode[, 
##             5], wt = rpfit$dnode[, 3], dev = rpfit$dnode[, 1], 
##             yval = rpfit$dnode[, 4], complexity = rpfit$dnode[, 
##                 2], ncompete = 0, nsurrogate = 0)
##     }
##     else {
##         temp <- ifelse(index == 0, 1, index)
##         svar <- ifelse(index == 0, 0, rpfit$isplit[temp, 1])
##         frame <- data.frame(row.names = rpfit$inode[, 1], var = tname[svar + 
##             1], n = rpfit$inode[, 5], wt = rpfit$dnode[, 3], 
##             dev = rpfit$dnode[, 1], yval = rpfit$dnode[, 4], 
##             complexity = rpfit$dnode[, 2], ncompete = pmax(0, 
##                 rpfit$inode[, 3] - 1), nsurrogate = rpfit$inode[, 
##                 4])
##     }
##     if (method.int == 3) {
##         numclass <- init$numresp - 2
##         nodeprob <- rpfit$dnode[, numclass + 5]/sum(wt)
##         temp <- pmax(1, init$counts)
##         temp <- rpfit$dnode[, 4 + (1:numclass)] %*% diag(init$parms$prior/temp)
##         yprob <- temp/rowSums(temp)
##         yval2 <- matrix(rpfit$dnode[, 4 + (0:numclass)], ncol = numclass + 
##             1)
##         frame$yval2 <- cbind(yval2, yprob, nodeprob)
##     }
##     else if (init$numresp > 1) 
##         frame$yval2 <- rpfit$dnode[, -(1:3), drop = FALSE]
##     if (is.null(init$summary)) 
##         stop("Initialization routine is missing the 'summary' function")
##     functions <- if (is.null(init$print)) 
##         list(summary = init$summary)
##     else list(summary = init$summary, print = init$print)
##     if (!is.null(init$text)) 
##         functions <- c(functions, list(text = init$text))
##     if (method == "user") 
##         functions <- c(functions, mlist)
##     where <- rpfit$which
##     names(where) <- row.names(m)
##     ans <- list(frame = frame, where = where, call = Call, terms = Terms, 
##         cptable = t(rpfit$cptable), method = method, parms = init$parms, 
##         control = controls, functions = functions, numresp = init$numresp)
##     if (nsplit) 
##         ans$splits = splits
##     if (ncat > 0) 
##         ans$csplit <- catmat + 2
##     if (nsplit) 
##         ans$variable.importance <- importance(ans)
##     if (model) {
##         ans$model <- m
##         if (missing(y)) 
##             y <- FALSE
##     }
##     if (y) 
##         ans$y <- Y
##     if (x) {
##         ans$x <- X
##         ans$wt <- wt
##     }
##     ans$ordered <- isord
##     if (!is.null(attr(m, "na.action"))) 
##         ans$na.action <- attr(m, "na.action")
##     if (!is.null(xlevels)) 
##         attr(ans, "xlevels") <- xlevels
##     if (method == "class") 
##         attr(ans, "ylevels") <- init$ylevels
##     class(ans) <- "rpart"
##     ans
## })(formula = .outcome ~ ., data = list(c(0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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## 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 
## 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
## 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 
## 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
## 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 
## 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
## 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 
## 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
## 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 
## 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
## 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), c(0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 30, 0, 0, 7, 0, 0, 0, 0, 
## 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
## 30, 3, 30, 0, 0, 7, 0, 0, 0, 0, 0, 3, 5, 0, 0, 2, 0, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 5, 7, 0, 2, 0, 30, 
## 0, 0, 5, 0, 0, 5, 2, 0, 0, 10, 0, 0, 0, 5, 0, 2, 0, 0, 7, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 30, 3, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 3, 10, 0, 5, 1, 7, 0, 4, 2, 0, 0, 0, 0, 0, 2, 0, 10, 
## 0, 14, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
## 30, 0, 10, 0, 0, 0, 0, 0, 0, 5, 2, 0, 20, 0, 0, 0, 7, 0, 4, 0, 
## 3, 15, 0, 14, 0, 0, 30, 1, 0, 0, 2, 0, 0, 14, 0, 5, 0, 1, 0, 
## 3, 4, 2, 5, 0, 2, 5, 10, 3, 0, 0, 0, 5, 0, 0, 0, 0, 5, 4, 15, 
## 0, 0, 0, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 10, 
## 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 30, 10, 2, 0, 0, 15, 0, 0, 10, 
## 30, 0, 0, 14, 26, 0, 0, 0, 0, 5, 7, 0, 1, 0, 3, 0, 0, 3, 0, 0, 
## 0, 0, 0, 30, 5, 1, 0, 0, 5, 0, 0, 0, 0, 0, 0, 30, 10, 14, 0, 
## 0, 5, 0, 10, 0, 1, 0, 0, 0, 30, 14, 7, 5, 0, 4, 0, 0, 2, 0, 0, 
## 5, 0, 10, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 
## 2, 3, 3, 0, 3, 2, 0, 0, 30, 0, 0, 0, 1, 4, 0, 0, 2, 0, 0, 0, 
## 0, 5, 2, 30, 2, 10, 0, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 7, 0, 0, 
## 1, 7, 15, 30, 0, 7, 0, 0, 7, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 0, 0, 0, 5, 0, 0, 30, 0, 20, 7, 1, 0, 0, 0, 2, 3, 15, 0, 
## 0, 0, 30, 0, 0, 0, 1, 0, 2, 0, 0, 30, 5, 3, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 5, 0, 0, 2, 30, 0, 0, 6, 0, 0, 0, 0, 0, 14, 0, 0, 0, 
## 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 15, 12, 3, 7, 0, 0, 2, 0, 0, 15, 
## 30, 6, 0, 0, 30, 0, 5, 5, 0, 0, 20, 0, 15, 5, 0, 0, 6, 0, 0, 
## 0, 0, 2, 3, 0, 14, 0, 0, 10, 10, 0, 0, 0, 0, 0, 2, 0, 0, 14, 
## 0, 2, 0, 0, 0, 5, 3, 1, 0, 0, 0, 0, 6, 5, 0, 0, 0, 1, 3, 15, 
## 0, 0, 5, 4, 0, 0, 0, 2, 0, 0, 0, 0, 30, 0, 0, 0, 30, 0, 15, 30, 
## 30, 10, 5, 0, 0, 1, 0, 5, 20, 0, 0, 4, 0, 2, 4, 0, 0, 0, 0, 0, 
## 21, 0, 0, 0, 0, 0, 30, 0, 3, 1, 0, 7, 0, 0, 0, 0, 5, 30, 0, 0, 
## 0, 0, 0, 0, 7, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 7, 0, 2, 7, 0, 
## 0, 0, 1, 0, 7, 1, 0, 2, 0, 0, 15, 30, 10, 0, 15, 0, 0, 0, 30, 
## 0, 0, 30, 0, 3, 0, 0, 2, 0, 0, 20, 10, 0, 2, 21, 0, 0, 0, 4, 
## 0, 0, 0, 15, 5, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 10, 30, 0, 0, 
## 0, 5, 0, 3, 0, 4, 20, 0, 15, 0, 0, 8, 5, 0, 1, 5, 0, 0, 0, 0, 
## 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 3, 10, 1, 0, 0, 1, 4, 0, 30, 0, 
## 0, 30, 30, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 5, 0, 0, 2, 3, 0, 0, 
## 7, 1, 1, 0, 0, 14, 10, 0, 0, 1, 0, 0, 0, 0, 1, 30, 0, 0, 0, 0, 
## 2, 0, 3, 0, 10, 30, 0, 0, 1, 0, 30, 0, 0, 0, 0, 0, 10, 5, 0, 
## 0, 0, 0, 0, 0, 0, 15, 4, 0, 0, 0, 1, 0, 15, 15, 0, 7, 2, 2, 0, 
## 2, 0, 30, 0, 20, 0, 0, 5, 0, 5, 30, 0, 0, 2, 0, 0, 30, 4, 5, 
## 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 5, 0, 0, 0, 
## 0, 0, 30, 0, 7, 2, 0, 7, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 
## 0, 3, 5, 0, 0, 1, 15, 30, 0, 30, 0, 25, 0, 0, 7, 0, 0, 0, 0, 
## 30, 10, 0, 0, 0, 0, 0, 0, 0, 0, 5, 10, 0, 0, 0, 30, 0, 0, 0, 
## 0, 2, 0, 14, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 5, 0, 0, 0, 2, 
## 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 5, 7, 0, 0, 0, 0, 0, 0, 7, 0, 
## 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
## 0, 0, 3, 0, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 3, 
## 29, 30, 0, 30, 2, 0, 0, 0, 1, 0, 7, 7, 0, 0, 0, 7, 2, 0, 0, 0, 
## 0, 3, 5, 0, 0, 2, 0, 0, 0, 20, 0, 0, 0, 5, 2, 30, 0, 3, 0, 0, 
## 1, 3, 30, 30, 20, 2, 0, 0, 0, 0, 3, 0, 0, 7, 0, 0, 0, 0, 0, 5, 
## 0, 0, 0, 5, 0, 1, 0, 0, 15, 0, 7, 0, 5, 30, 0, 14, 0, 0, 0, 0, 
## 0, 0, 0, 0, 2, 0, 1, 10, 0, 30, 10, 10, 0, 6, 0, 30, 0, 1, 0, 
## 0, 1, 0, 10, 0, 0, 0, 10, 0, 0, 0, 0, 2, 25, 0, 0, 0, 0, 0, 0, 
## 0, 5, 0, 0, 0, 30, 3, 4, 0, 3, 30, 15, 0, 0, 0, 0, 30, 4, 7, 
## 1, 1, 5, 0, 14, 0, 10, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 
## 3, 2, 0, 6, 30, 0, 0, 1, 29, 1, 0, 0, 1, 0, 0, 4, 0, 0, 0, 14, 
## 0, 0, 0, 30, 0, 2, 0, 0, 0, 0, 1, 5, 8, 2, 0, 0, 0, 0, 0, 12, 
## 0, 0, 0, 30, 0, 0, 0, 30, 0, 0, 0, 0, 2, 0, 1, 10, 0, 0, 0, 30, 
## 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 4, 0, 0, 0, 
## 0, 2, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 10, 2, 3, 30, 15, 0, 7, 0, 
## 0, 30, 2, 5, 2, 1, 0, 30, 5, 7, 2, 30, 5, 10, 2, 1, 7, 5, 1, 
## 0, 10, 2, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 10, 0, 
## 0, 21, 0, 0, 5, 5, 0, 1, 2, 0, 30, 0, 30, 0, 0, 0, 0, 0, 4, 1, 
## 0, 0, 1, 1, 30, 0, 4, 0, 5, 3, 0, 0, 5, 10, 0, 0, 7, 2, 5, 4, 
## 0, 0, 14, 0, 0, 0, 0, 0, 2, 30, 0, 0, 0, 0, 0, 0, 10, 5, 30, 
## 0, 0, 0, 0, 0, 30, 0, 20, 0, 0, 0, 4, 1, 2, 3, 20, 14, 0, 0, 
## 0, 15, 20, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 10, 5, 0, 2, 
## 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 30, 0, 30, 0, 20, 0, 0, 0, 
## 20, 14, 0, 30, 7, 3, 10, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 5, 30, 
## 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 10, 25, 4, 14, 
## 0, 30, 5, 0, 0, 0, 0, 0, 30, 2, 0, 3, 5, 0, 15, 0, 0, 30, 0, 
## 1, 0, 15, 0, 0, 0, 30, 0, 0, 0, 0, 30, 0, 6, 30, 0, 0, 0, 0, 
## 0, 3, 30, 5, 0, 0, 0, 0, 0, 0, 0, 5, 2, 30, 15, 0, 0, 0, 5, 14, 
## 0, 2, 2, 0, 0, 0, 0, 25, 0, 0, 2, 4, 1, 5, 0, 0, 0, 1, 0, 0, 
## 14, 0, 1, 0, 7, 0, 2, 0, 0, 0, 0, 30, 2, 0, 0, 0, 0, 30, 7, 4, 
## 30, 0, 0, 0, 0, 0, 0, 30, 10, 0, 5, 0, 0, 0, 7, 0, 0, 2, 14, 
## 0, 0, 0, 2, 1, 0, 10, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
## 0, 0, 0, 0, 30, 2, 0, 3, 0, 0, 0, 7, 11, 0, 0, 0, 30, 0, 0, 5, 
## 30, 15, 0, 0, 0, 0, 0, 30, 10, 0, 30, 0, 0, 0, 0, 0, 0, 0, 2, 
## 30, 30, 0, 15, 0, 0, 0, 30, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 6, 5, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 10, 3, 0, 
## 0, 30, 0, 5, 0, 4, 0, 0, 0, 0, 7, 0, 30, 15, 28, 0, 0, 2, 30, 
## 0, 30, 15, 12, 0, 7, 0, 0, 0, 0, 0, 1, 0, 30, 0, 2, 1, 0, 20, 
## 10, 0, 0, 0, 5, 0, 3, 0, 0, 0, 30, 0, 0, 15, 7, 0, 25, 4, 0, 
## 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 0, 8, 0, 3, 0, 30, 14, 
## 0, 0, 15, 0, 0, 0, 0, 7, 1, 3, 0, 0, 0, 0, 0, 0, 30, 0, 5, 3, 
## 0, 0, 0, 0, 30, 3, 1, 30, 0, 20, 0, 0, 0, 0, 2, 2, 0, 0, 5, 0, 
## 0, 8, 0, 0, 0, 0, 0, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 25, 29, 
## 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 30, 
## 14, 0, 30, 3, 0, 10, 30, 15, 0, 7, 0, 0, 0, 1, 0, 3, 20, 5, 30, 
## 0, 0, 15, 0, 0, 10, 0, 2, 5, 0, 0, 10, 0, 3, 5, 0, 0, 0, 1, 0, 
## 0, 2, 0, 0, 0, 10, 3, 0, 10, 0, 3, 7, 0, 0, 0, 0, 0, 3, 0, 0, 
## 14, 3, 8, 7, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 10, 30, 0, 
## 0, 0, 0, 8, 21, 15, 0, 0, 30, 0, 0, 3, 0, 0, 0, 0, 0, 1, 3, 0, 
## 0, 0, 0, 0, 0, 0, 30, 8, 10, 7, 2, 0, 0, 1, 0, 10, 1, 0, 0, 2, 
## 0, 0, 3, 14, 0, 30, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
## 14, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 20, 0, 1, 14, 0, 0, 30, 0, 
## 25, 15, 0, 0, 0, 0, 0, 30, 1, 0, 0, 0, 30, 0, 5, 5, 5, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 30, 0, 
## 0, 0, 0, 0, 0, 2, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 
## 0, 0, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 7, 7, 10, 
## 0, 0, 0, 27, 2, 3, 0, 0, 5, 10, 0, 0, 30, 30, 0, 0, 0, 5, 5, 
## 1, 4, 0, 0, 0, 0, 1, 0, 0, 3, 0, 15, 0, 0, 0, 30, 0, 0, 5, 10, 
## 0, 30, 0, 0, 0, 0, 0, 0, 0, 30, 5, 0, 0, 0, 0, 0, 2, 0, 18, 1, 
## 0, 3, 20, 10, 0, 0, 0, 0, 2, 20, 0, 0, 7, 0, 4, 30, 4, 0, 0, 
## 0, 0, 2, 0, 6, 15, 1, 0, 0, 0, 0, 4, 0, 0, 0, 4, 1, 2, 23, 14, 
## 0, 0, 0, 0, 0, 3, 0, 0, 10, 0, 7, 0, 0, 3, 0, 0, 30, 0, 0, 3, 
## 0, 7, 0, 0, 14, 0, 0, 0, 10, 0, 0, 0, 2, 0, 0, 0, 30, 0, 0, 0, 
## 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 16, 1, 10, 0, 0, 2, 0, 0, 0, 0, 7, 0, 0, 2, 10, 
## 0, 0, 0, 0, 0, 3, 30, 5, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 20, 0, 
## 0, 0, 0, 0, 10, 0, 0, 0, 0, 10, 6, 3, 5, 0, 0, 30, 0, 0, 0, 0, 
## 0, 2, 0, 0, 2, 30, 0, 0, 0, 5, 5, 7, 0, 3, 0, 0, 5, 0, 0, 0, 
## 5, 5, 0, 0, 0, 30, 0, 22, 0, 1, 0, 0, 5, 4, 0, 0, 30, 0, 5, 1, 
## 0, 0, 21, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 
## 3, 0, 0, 0, 0, 3, 30, 0, 2, 0, 0, 2, 30, 0, 0, 0, 0, 4, 0, 7, 
## 0, 0, 0, 0, 10, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
## 0, 2, 3, 5, 0, 1, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 2, 
## 0, 0, 1, 0, 0, 0, 10, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 30, 0, 20, 
## 0, 2, 0, 0, 6, 0, 0, 4, 0, 0, 5, 0, 14, 0, 7, 0, 10, 0, 0, 0, 
## 0, 0, 0, 7, 3, 7, 0, 18, 0, 4, 0, 0, 0, 5, 7, 0, 0, 0, 1, 0, 
## 0, 0, 0, 30, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 12, 14, 
## 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 20, 21, 0, 0, 
## 0, 0, 4, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 30, 0, 0, 
## 0, 0, 0, 30, 0, 0, 3, 2, 0, 0, 4, 2, 0, 7, 3, 0, 3, 30, 0, 0, 
## 1, 0, 2, 30, 30, 0, 15, 0, 0, 5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 
## 0, 0, 7, 0, 0, 3, 1, 30, 1, 7, 0, 7, 30, 15, 0, 4, 30, 0, 0, 
## 0, 0, 0, 0, 0, 1, 30, 0, 0, 0, 0, 0, 4, 0, 2, 2, 0, 0, 0, 0, 
## 2, 3, 14, 0, 2, 0, 0, 0, 0, 0, 10, 30, 0, 0, 0, 0, 5, 3, 0, 25, 
## 0, 0, 1, 0, 0, 15, 0, 5, 5, 3, 2, 0, 0, 0, 15, 1, 30, 5, 10, 
## 0, 0, 0, 1, 4, 4, 0, 0, 0, 3, 0, 5, 0, 30, 0, 3, 15, 0, 0, 0, 
## 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 30, 10, 0, 0, 0, 10, 0, 28, 
## 20, 30, 0, 0, 1, 0, 25, 1, 0, 0, 4, 0, 0, 0, 2, 0, 0, 5, 0, 2, 
## 2, 0, 0, 0, 15, 2, 0, 30, 0, 0, 2, 0, 2, 4, 0, 30, 0, 0, 0, 0, 
## 0, 0, 0, 30, 0, 2, 0, 20, 0, 0, 0, 0, 10, 0, 0, 29, 0, 0, 7, 
## 15, 0, 0, 0, 0, 3, 21, 20, 0, 10, 0, 0, 3, 0, 30, 0, 5, 0, 0, 
## 0, 0, 0, 0, 2, 2, 0, 2, 3, 6, 10, 1, 0, 0, 0, 0, 2, 4, 2, 2, 
## 0, 0, 0, 0, 0, 30, 0, 4, 20, 0, 2, 30, 0, 0, 0, 0, 3, 0, 4, 0, 
## 1, 0, 0, 30, 4, 0, 0, 0, 10, 30, 0, 0, 0, 0, 0, 29, 1, 0, 0, 
## 1, 12, 10, 0, 0, 4, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 7, 1, 0, 2, 
## 5, 3, 0, 0, 2, 0, 0, 5, 0, 0, 0, 3, 0, 0, 4, 2, 30, 0, 2, 1, 
## 0, 0, 0, 1, 0, 0, 0, 10, 0, 0, 7, 0, 1, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 4, 0, 1, 30, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 30, 
## 1, 30, 0, 0, 0, 30, 0, 0, 0, 10, 0, 0, 0, 0, 0, 1, 0, 0, 14, 
## 30, 14, 0, 1, 0, 0, 1, 0, 3, 0, 15, 0, 1, 0, 0, 0, 3, 0, 10, 
## 0, 0, 0, 2, 5, 2, 0, 2, 0, 0, 5, 2, 8, 4, 4, 0, 0, 0, 0, 0, 30, 
## 0, 0, 3, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 30, 14, 
## 0, 3, 0, 3, 3, 0, 18, 0, 0, 0, 0, 0, 0, 2, 0, 0, 30, 5, 0, 0, 
## 10, 0, 0, 0, 5, 0, 0, 21, 0, 2, 0, 0, 0, 0, 14, 0, 1, 0, 0, 0, 
## 0, 0, 18, 30, 0, 30, 0, 0, 3, 30, 0, 0, 10, 0, 1, 1, 0, 5, 0, 
## 21, 0, 0, 5, 7, 2, 14, 0, 30, 6, 30, 0, 5, 0, 0, 0, 0, 14, 0, 
## 3, 0, 0, 0, 15, 3, 0, 2, 0, 2, 0, 30, 0, 7, 0, 0, 0, 0, 0, 0, 
## 0, 12, 0, 0, 0, 0, 14, 0, 30, 0, 0, 0, 0, 0, 0, 2, 20, 0, 15, 
## 0, 0, 0, 0, 0, 0, 3, 0, 15, 0, 0, 4, 0, 0, 0, 4, 3, 30, 2, 0, 
## 0, 2, 2, 15, 0, 0, 0, 15, 1, 0, 0, 0, 30, 0, 0, 30, 0, 7, 15, 
## 3, 5, 0, 30, 0, 7, 20, 1, 2, 0, 0, 2, 8, 30, 0, 0, 0, 0, 30, 
## 0, 0, 7, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 30, 2, 30, 3, 
## 3, 0, 30, 7, 5, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 12, 2, 30, 0, 30, 
## 0, 1, 0, 0, 0, 2, 0, 0, 14, 0, 0, 0, 0, 0, 0, 7, 5, 0, 0, 1, 
## 30, 10, 0, 0, 5, 7, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 14, 3, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 25, 0, 25, 0, 0, 15, 2, 0, 7, 0, 15, 0, 
## 0, 1, 0, 0, 7, 15, 3, 0, 0, 3, 0, 0, 15, 5, 2, 0, 0, 5, 0, 0, 
## 5, 0, 0, 10, 0, 0, 15, 1, 2, 0, 1, 5, 0, 0, 0, 1, 0, 1, 3, 0, 
## 0, 0, 5, 0, 30, 1, 0, 0, 0, 0, 0, 1, 0, 30, 0, 0, 0, 0, 0, 2, 
## 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 30, 5, 0, 0, 0, 0, 0, 0, 0, 
## 0, 1, 0, 6, 0, 3, 10, 0, 0, 0, 15, 0, 1, 0, 29, 30, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 12, 0, 0, 4, 30, 7, 5, 30, 0, 20, 4, 4, 6, 
## 5, 0, 0, 3, 0, 4, 0, 30, 0, 7, 1, 5, 0, 1, 30, 2, 0, 0, 3, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 10, 0, 0, 0, 0, 0, 3, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 3, 0, 0, 0, 0, 12, 0, 30, 
## 2, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 15, 10, 15, 0, 0, 30, 0, 0, 
## 0, 0, 0, 0, 5, 0, 0, 0, 30, 7, 0, 0, 1, 0, 12, 30, 6, 0, 3, 0, 
## 1, 2, 3, 0, 0, 10, 30, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 20, 15, 4, 7, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 30, 0, 0, 0, 0, 15, 15, 7, 1, 0, 30, 2, 0, 1, 0, 14, 12, 
## 0, 0, 3, 15, 15, 10, 4, 0, 1, 0, 1, 0, 0, 0, 20, 0, 0, 0, 0, 
## 0, 4, 0, 0, 10, 2, 0, 0, 5, 4, 2, 0, 30, 0, 0, 0, 0, 3, 0, 7, 
## 0, 22, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 20, 0, 0, 0, 1, 
## 5, 2, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 2, 0, 30, 5, 0, 0, 0, 2, 
## 0, 3, 0, 5, 0, 0, 10, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 
## 0, 14, 0, 3, 0, 3, 5, 3, 29, 1, 0, 0, 6, 0, 13, 0, 10, 0, 4, 
## 2, 0, 0, 0, 6, 0, 30, 0, 5, 0, 30, 4, 0, 14, 0, 1, 0, 0, 4, 0, 
## 0, 30, 0, 0, 1, 0, 0, 0, 3, 7, 10, 30, 15, 21, 0, 0, 1, 0, 0, 
## 30, 1, 0, 4, 2, 0, 0, 0, 30, 0, 0, 0, 0, 5, 0, 4, 0, 0, 0, 3, 
## 2, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 2, 20, 30, 0, 1, 4, 
## 7, 0, 0, 1, 3, 30, 0, 5, 0, 0, 0, 12, 0, 0, 2, 0, 0, 20, 2, 1, 
## 0, 3, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 29, 1, 0, 7, 0, 0, 30, 0, 
## 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 30, 0, 0, 3, 20, 2, 4, 
## 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, 30, 0, 
## 2, 2, 0, 0, 15, 0, 6, 0, 0, 0, 10, 0, 0, 0, 7, 0, 2, 0, 10, 2, 
## 6, 0, 0, 0, 2, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 3, 0, 0, 2, 0, 
## 5, 1, 0, 30, 4, 0, 0, 3, 0, 3, 0, 2, 4, 0, 0, 2, 0, 4, 0, 0, 
## 0, 0, 0, 3, 0, 5, 0, 14, 15, 0, 0, 0, 0, 4, 0, 30, 0, 0, 0, 0, 
## 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 15, 30, 0, 3, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 30, 12, 10, 0, 7, 0, 0, 
## 0, 0, 2, 15, 30, 30, 0, 0, 0, 4, 0, 15, 0, 3, 0, 0, 15, 2, 30, 
## 0, 28, 0, 0, 30, 4, 0, 0, 30, 1, 0, 10, 0, 4, 3, 2, 0, 0, 30, 
## 5, 0, 0, 2, 0, 20, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 2, 2, 0, 
## 2, 20, 0, 12, 4, 0, 2, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 0, 
## 0, 0, 0, 0, 0, 0, 3, 2, 10, 30, 3, 3, 0, 30, 0, 14, 0, 0, 3, 
## 0, 2, 3, 0, 0, 0, 0, 0, 1, 15, 0, 1, 0, 20, 0, 3, 0, 30, 5, 0, 
## 0, 2, 0, 0, 1, 0, 0, 3, 0, 0, 3, 0, 30, 1, 30, 0, 0, 0, 0, 1, 
## 0, 0, 0, 30, 2, 0, 1, 0, 0, 30, 0, 0, 0, 0, 0, 4, 0, 0, 30, 0, 
## 0, 7, 0, 0, 3, 6, 0, 3, 0, 3, 1, 0, 0, 15, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 30, 
## 2, 7, 0, 0, 1, 3, 0, 5, 0, 0, 0, 0, 2, 0, 0, 30, 3, 15, 0, 30, 
## 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 6, 0, 0, 14, 0, 10, 7, 0, 
## 5, 5, 0, 0, 2, 30, 0, 0, 0, 0, 2, 0, 0, 0, 0, 9, 0, 3, 0, 0, 
## 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 3, 0, 3, 30, 0, 0, 0, 0, 0, 
## 0, 0, 1, 2, 30, 0, 30, 0, 0, 29, 4, 3, 30, 0, 0, 0, 30, 0, 0, 
## 0, 0, 5, 0, 3, 0, 2, 0, 0, 0, 0, 0, 30, 1, 5, 30, 1, 0, 30, 0, 
## 0, 0, 0, 0, 0, 2, 0, 0, 3, 2, 5, 0, 0, 3, 0, 30, 0, 0, 10, 0, 
## 0, 0, 0, 0, 10, 2, 0, 0, 1, 0, 1, 0, 14, 15, 3, 0, 3, 0, 0, 0, 
## 3, 0, 0, 0, 20, 0, 3, 0, 0, 5, 0, 3, 30, 0, 15, 0, 0, 14, 2, 
## 10, 14, 0, 0, 10, 2, 0, 10, 0, 0, 7, 30, 0, 0, 0, 0, 0, 2, 0, 
## 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 4, 15, 0, 
## 0, 2, 0, 5, 1, 0, 30, 30, 0, 3, 1, 0, 5, 2, 0, 0, 0, 0, 0, 0, 
## 2, 0, 0, 3, 0, 0, 4, 0, 2, 0, 30, 0, 0, 0, 2, 0, 0, 0, 2, 0, 
## 0, 0, 5, 5, 0, 0, 0, 3, 0, 1, 0, 0, 0, 14, 0, 0, 0, 0, 30, 0, 
## 0, 30, 0, 0, 30, 10, 0, 2, 5, 6, 0, 0, 0, 0, 0, 0, 2, 0, 20, 
## 21, 0, 0, 10, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 
## 0, 0, 5, 0, 0, 0, 0, 30, 10, 2, 0, 0, 0, 0, 2, 1, 0, 0, 3, 3, 
## 3, 0, 0, 1, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 
## 0, 0, 10, 0, 0, 0, 30, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 
## 0, 0, 0, 0, 0, 30, 3, 0, 0, 15, 0, 1, 7, 0, 0, 0, 0, 0, 0, 30, 
## 3, 2, 1, 0, 10, 0, 3, 30, 0, 2, 1, 0, 16, 0, 5, 2, 15, 30, 30, 
## 4, 0, 0, 10, 0, 0, 0, 14, 0, 0, 0, 30, 0, 7, 1, 0, 15, 1, 1, 
## 0, 2, 0, 0, 0, 30, 0, 0, 28, 5, 0, 30, 1, 30, 5, 0, 0, 0, 0, 
## 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
## 3, 30, 5, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 2, 0, 4, 0, 0, 0, 
## 0, 0, 30, 0, 0, 0, 2, 14, 0, 0, 0, 30, 30, 0, 0, 23, 0, 3, 0, 
## 0, 0, 1, 0, 0, 0, 0, 3, 0, 5, 0, 2, 0, 20, 0, 2, 0, 15, 5, 0, 
## 0, 0, 25, 0, 0, 15, 0, 3, 0, 2, 0, 5, 0, 20, 0, 0, 0, 10, 0, 
## 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 2, 3, 30, 7, 0, 0, 3, 5, 0, 0, 
## 30, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6, 
## 6, 0, 0, 30, 0, 3, 0, 7, 0, 30, 0, 14, 10, 0, 0, 0, 30, 0, 0, 
## 0, 3, 30, 0, 4, 14, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 30, 0, 1, 
## 0, 0, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 15, 2, 0, 5, 1, 14, 0, 1, 
## 0, 0, 1, 2, 14, 0, 0, 30, 30, 0, 0, 0, 2, 0, 0, 10, 0, 2, 10, 
## 30, 0, 30, 3, 15, 30, 10, 2, 0, 30, 0, 0, 0, 0, 0, 0, 0, 14, 
## 0, 3, 0, 1, 0, 0, 0, 7, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 5, 0, 0, 30, 3, 0, 30, 
## 0, 0, 3, 20, 8, 0, 0, 0, 0, 0, 0, 20, 0, 30, 0, 30, 0, 0, 2, 
## 3, 0, 0, 30, 0, 0, 0, 0, 0, 0, 10, 0, 3, 0, 2, 0, 0, 0, 0, 0, 
## 3, 2, 30, 0, 0, 0, 0, 15, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 
## 0, 30, 0, 1, 7, 0, 1, 30, 0, 25, 0, 0, 6, 20, 2, 0, 0, 0, 0, 
## 0, 0, 0, 0, 3, 20, 30, 0, 4, 3, 0, 0, 0, 0, 0, 3, 3, 2, 0, 20, 
## 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 30, 30, 1, 30, 0, 0, 
## 10, 7, 0, 7, 0, 0, 6, 10, 3, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 12, 6, 0, 0, 0, 0, 2, 0, 0, 5, 7, 0, 0, 3, 0, 0, 0, 1, 0, 0, 
## 0, 1, 0, 1, 0, 2, 15, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 2, 0, 
## 1, 25, 1, 30, 0, 0, 0, 30, 0, 7, 0, 30, 3, 0, 0, 2, 0, 0, 0, 
## 0, 3, 0, 0, 15, 0, 0, 0, 0, 0, 0, 30, 0, 0, 10, 17, 10, 0, 0, 
## 2, 30, 15, 0, 0, 7, 0, 0, 0, 5, 0, 0, 30, 0, 2, 20, 0, 7, 0, 
## 0, 7, 0, 0, 0, 0, 10, 1, 0, 2, 2, 30, 0, 0, 5, 0, 0, 0, 3, 0, 
## 0, 30, 0, 0, 30, 0, 0, 0, 11, 0, 0, 7, 0, 0, 1, 0, 0, 0, 0, 0, 
## 0, 20, 0, 4, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 3, 0, 0, 
## 0, 1, 5, 0, 2, 0, 0, 0, 2, 0, 7, 0, 0, 0, 0, 0, 0, 15, 0, 0, 
## 0, 21, 30, 0, 0, 7, 3, 30, 0, 0, 7, 0, 14, 3, 0, 4, 0, 8, 0, 
## 0, 4, 0, 0, 0, 3, 0, 0, 1, 3, 4, 0, 0, 0, 20, 30, 30, 0, 0, 0, 
## 7, 0, 5, 0, 0, 5, 12, 0, 0, 0, 0, 30, 0, 2, 0, 0, 0, 3, 0, 0, 
## 0, 0, 1, 0, 7, 0, 3, 0, 30, 0, 0, 0, 0, 0, 2, 1, 30, 0, 3, 0, 
## 5, 30, 0, 0, 3, 18, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 30, 0, 
## 0, 7, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 10, 0, 5, 5, 0, 0, 
## 0, 0, 0, 0, 0, 0, 14, 0, 30, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 
## 15, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 5, 3, 0, 7, 0, 0, 2, 0, 0, 
## 30, 0, 0, 0, 14, 3, 2, 30, 2, 0, 0, 1, 0, 2, 0, 0, 30, 2, 0, 
## 7, 3, 0, 0, 10, 0, 0, 30, 2, 0, 0, 28, 7, 0, 30, 0, 0, 0, 0, 
## 5, 0, 10, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 
## 0, 3, 3, 0, 0, 0, 0, 0, 0, 1, 0, 15, 0, 25, 14, 0, 3, 0, 0, 0, 
## 0, 5, 5, 0, 20, 4, 7, 0, 0, 0, 2, 0, 0, 30, 0, 0, 0, 4, 0, 0, 
## 0, 0, 0, 3, 0, 0, 0, 6, 30, 7, 1, 10, 7, 10, 0, 0, 5, 5, 30, 
## 2, 0, 0, 5, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 30, 7, 
## 3, 0, 2, 0, 7, 0, 0, 3, 0, 0, 0, 0, 14, 2, 0, 0, 0, 30, 15, 0, 
## 0, 0, 15, 3, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 
## 30, 30, 0, 30, 0, 0, 0, 0, 2, 5, 15, 0, 30, 0, 0, 7, 0, 2, 30, 
## 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 15, 30, 
## 0, 0, 0, 0, 0, 0, 6, 0, 30, 4, 0, 2, 0, 4, 0, 0, 5, 30, 0, 14, 
## 0, 0, 3, 0, 0, 0, 5, 5, 2, 0, 0, 5, 0, 0, 20, 7, 0, 0, 5, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 21, 0, 0, 0, 7, 0, 0, 0, 0, 20, 
## 30, 0, 0, 21, 0, 0, 0, 0, 1, 2, 0, 30, 5, 0, 0, 0, 0, 0, 9, 5, 
## 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 3, 30, 0, 0, 0, 0, 
## 0, 3, 6, 3, 0, 3, 5, 4, 2, 0, 0, 0, 0, 2, 30, 0, 4, 0, 0, 0, 
## 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 
## 1, 3, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 30, 0, 0, 1, 30, 0, 
## 25, 0, 0, 0, 3, 0, 0, 0, 9, 1, 2, 10, 0, 0, 0, 30, 0, 3, 2, 2, 
## 2, 0, 7, 5, 0, 0, 30, 0, 10, 0, 0, 0, 0, 0, 0, 0, 15, 4, 0, 0, 
## 2, 0, 2, 10, 4, 30, 5, 0, 2, 0, 0, 0, 5, 0, 30, 0, 0, 5, 0, 4, 
## 0, 1, 1, 0, 0, 22, 0, 0, 0, 3, 0, 1, 0, 10, 1, 0, 0, 0, 0, 0, 
## 0, 0, 0, 6, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 1, 20, 
## 1, 30, 0, 0, 3, 14, 7, 3, 0, 0, 0, 0, 0, 0, 7, 0, 30, 1, 25, 
## 1, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 1, 30, 0, 0, 7, 1, 
## 2, 0, 0, 0, 2, 2, 0, 0, 0, 30, 0, 0, 0, 5, 0, 3, 1, 0, 3, 0, 
## 7, 0, 0, 0, 0, 0, 0, 15, 0, 5, 3, 0, 0, 0, 0, 2, 7, 7, 1, 0, 
## 0, 0, 7, 3, 0, 0, 0, 5, 14, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 10, 
## 0, 0, 5, 0, 0, 0, 4, 0, 30, 30, 0, 0, 1, 15, 0, 0, 0, 0, 3, 3, 
## 0, 0, 7, 30, 5, 0, 5, 0, 0, 0, 7, 0, 1, 1, 0, 0, 0, 2, 0, 2, 
## 0, 0, 0, 0, 2, 0, 10, 0, 0, 7, 2, 0, 0, 0, 30, 5, 0, 0, 0, 0, 
## 0, 0, 0, 15, 14, 15, 0, 0, 10, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 
## 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 5, 0, 2, 5, 2, 0, 0, 4, 0, 0, 0, 
## 0, 25, 2, 5, 1, 6, 0, 2, 0, 2, 0, 0, 2, 0, 30, 0, 5, 0, 0, 0, 
## 1, 20, 1, 30, 0, 12, 0, 20, 0, 1, 0, 0, 14, 2, 0, 30, 0, 0, 6, 
## 0, 0, 10, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 
## 0, 0, 2, 0, 0, 10, 0, 0, 14, 0, 0, 1, 30, 0, 0, 5, 0, 0, 5, 0, 
## 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 20, 0, 30, 7, 30, 0, 0, 0, 
## 0, 0, 0, 0, 1, 2, 0, 10, 0, 0, 1, 3, 0, 0, 0, 3, 0, 1, 0, 0, 
## 2, 1, 0, 30, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 0, 0, 2, 5, 0, 0, 
## 30, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 30, 10, 
## 1, 0, 0, 2, 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 3, 0, 
## 0, 0, 20, 0, 5, 10, 1, 0, 0, 0, 5, 1, 0, 0, 0, 0, 5, 0, 0, 0, 
## 15, 0, 0, 30, 0, 0, 28, 0, 0, 0, 0, 0, 0, 1, 30, 0, 0, 15, 5, 
## 0, 2, 4, 4, 0, 0, 15, 10, 0, 2, 0, 0, 0, 4, 0, 30, 0, 2, 0, 0, 
## 0, 0, 0, 30, 0, 0, 7, 2, 2, 0, 4, 0, 0, 1, 0, 2, 0, 0, 0, 30, 
## 15, 2, 0, 10, 0, 30, 15, 0, 4, 0, 0, 30, 2, 2, 3, 30, 2, 0, 1, 
## 0, 1, 7, 15, 2, 0, 30, 0, 0, 6, 0, 3, 0, 0, 4, 0, 0, 0, 0, 7, 
## 8, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 30, 0, 7, 0, 0, 3, 10, 14, 
## 0, 3, 0, 0, 1, 0, 10, 0, 0, 0, 5, 0, 0, 10, 0, 0, 0, 10, 0, 0, 
## 2, 0, 0, 0, 0, 0, 1, 30, 0, 0, 2, 1, 0, 4, 0, 0, 10, 0, 0, 0, 
## 1, 0, 15, 0, 0, 0, 0, 0, 5, 0, 0, 0, 7, 0, 2, 30, 0, 30, 0, 7, 
## 0, 7, 0, 0, 6, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 
## 2, 0, 5, 0, 30, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 8, 0, 0, 0, 
## 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 10, 3, 0, 0, 2, 21, 30, 0, 10, 3, 9, 0, 0, 20, 0, 
## 15, 21, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 
## 0, 0, 0, 0, 0, 0, 30, 8, 1, 3, 30, 30, 0, 20, 0, 2, 0, 3, 0, 
## 25, 0, 0, 0, 2, 2, 0, 0, 30, 0, 0, 0, 0, 0, 10, 1, 0, 0, 0, 0, 
## 0, 30, 30, 10, 15, 0, 25, 30, 0, 3, 0, 0, 0, 2, 10, 0, 0, 0, 
## 1, 1, 30, 0, 0, 0, 2, 3, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 11, 30, 
## 0, 30, 0, 0, 0, 0, 0, 3, 5, 0, 0, 3, 0, 15, 7, 10, 0, 2, 0, 5, 
## 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 
## 0, 0, 8, 0, 7, 4, 1, 1, 0, 0, 0, 0, 0, 0, 5, 10, 0, 0, 0, 30, 
## 2, 0, 0, 0, 0, 15, 0, 0, 0, 5, 0, 0, 0, 10, 0, 4, 0, 0, 0, 5, 
## 0, 0, 5, 1, 10, 0, 0, 0, 20, 0, 0, 0, 5, 0, 0, 10, 0, 15, 0, 
## 1, 3, 20, 15, 0, 0, 5, 2, 0, 0, 3, 2, 0, 0, 0, 0, 25, 0, 0, 0, 
## 0, 2, 11, 0, 0, 0, 0, 30, 0, 1, 0, 0, 10, 0, 0, 0, 0, 30, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 
## 3, 0, 3, 0, 0, 0, 0, 0, 14, 0, 0, 30, 0, 0, 10, 1, 3, 0, 2, 0, 
## 0, 0, 0, 2, 0, 0, 0, 30, 0, 0, 2, 0, 0, 0, 7, 1, 0, 0, 0, 15, 
## 0, 0, 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 5, 4, 0, 0, 3, 0, 0, 0, 
## 0, 0, 1, 0, 7, 3, 2, 2, 2, 0, 20, 0, 0, 1, 0, 10, 0, 0, 0, 2, 
## 0, 0, 0, 0, 0, 0, 7, 30, 0, 0, 2, 0, 4, 7, 10, 0, 1, 0, 25, 0, 
## 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 3, 0, 0, 0, 30, 2, 0, 
## 0, 0, 0, 0, 0, 15, 0, 3, 0, 23, 0, 0, 14, 0, 0, 1, 0, 0, 0, 0, 
## 30, 30, 0, 0, 0, 15, 0, 0, 5, 2, 4, 0, 0, 0, 1, 6, 17, 0, 2, 
## 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 30, 0, 0, 0, 
## 30, 0, 2, 0, 0, 10, 15, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 5, 8, 3, 0, 0, 0, 0, 0, 0, 15, 0, 0, 5, 2, 20, 2, 
## 0, 7, 8, 5, 0, 7, 0, 2, 25, 2, 0, 2, 0, 0, 0, 0, 0, 0, 6, 8, 
## 0, 0, 0, 0, 0, 0, 10, 0, 30, 0, 0, 0, 0, 0, 0, 10, 1, 0, 1, 0, 
## 0, 10, 2, 0, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 30, 30, 30, 0, 0, 
## 4, 0, 1, 0, 30, 0, 30, 0, 0, 0, 0, 0, 2, 0, 0, 0, 8, 0, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 1, 1, 0, 0, 5, 0, 5, 0, 7, 1, 
## 0, 0, 0, 0, 7, 0, 30, 15, 0, 0, 0, 4, 0, 30, 0, 0, 20, 0, 0, 
## 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 20, 1, 0, 30, 0, 
## 3, 30, 30, 0, 2, 0, 0, 0, 3, 7, 1, 0, 12, 0, 1, 0, 0, 0, 0, 0, 
## 0, 0, 30, 10, 0, 4, 0, 3, 0, 14, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 
## 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 14, 0, 0, 0, 0, 0, 0, 1, 30, 7, 
## 0, 0, 7, 0, 5, 0, 0, 0, 0, 20, 0, 1, 0, 0, 10, 0, 0, 0, 0, 0, 
## 0, 4, 30, 0, 3, 0, 0, 0, 20, 0, 30, 0, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 0, 2, 0, 10, 0, 0, 0, 4, 3, 2, 15, 0, 0, 0, 30, 2, 0, 20, 
## 30, 2, 2, 6, 0, 0, 2, 0, 0, 24, 0, 30, 7, 3, 2, 0, 0, 0, 0, 2, 
## 5, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
## 0, 0, 0, 0, 0, 8, 7, 7, 0, 0, 0, 2, 0, 25, 1, 0, 30, 0, 0, 7, 
## 1, 15, 0, 0, 14, 4, 7, 1, 1, 0, 5, 0, 0, 2, 0, 2, 3, 7, 0, 0, 
## 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 8, 0, 2, 0, 30, 10, 0, 0, 
## 30, 1, 0, 0, 7, 0, 5, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 8, 5, 2, 
## 3, 2, 0, 30, 0, 0, 0, 0, 2, 30, 0, 0, 0, 20, 30, 2, 0, 0, 0, 
## 0, 0, 0, 21, 0, 2, 0, 30, 0, 4, 10, 0, 30, 0, 0, 0, 10, 0, 0, 
## 10, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 14, 0, 3, 
## 0, 0, 0, 2, 30, 0, 5, 0, 0, 25, 0, 3, 0, 0, 0, 0, 0, 0, 2, 30, 
## 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 30, 10, 30, 0, 0, 
## 0, 0, 0, 1, 0, 0, 0, 4, 12, 0, 0, 0, 0, 0, 7, 14, 0, 2, 2, 0, 
## 30, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 25, 0, 0, 0, 3, 
## 20, 0, 0, 0, 0, 0, 14, 0, 2, 0, 0, 0, 0, 7, 30, 10, 0, 0, 0, 
## 30, 0, 0, 0, 0, 10, 10, 0, 30, 0, 1, 0, 20, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 5, 0, 0, 0, 0, 0, 15, 0, 14, 0, 0, 0, 0, 0, 2, 0, 2, 
## 1, 2, 4, 0, 3, 15, 10, 0, 1, 0, 3, 0, 0, 0, 0, 2, 0, 0, 3, 0, 
## 30, 0, 0, 14, 0, 3, 0, 3, 0, 5, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 
## 0, 20, 0, 0, 0, 1, 24, 0, 0, 0, 0, 0, 15, 0, 2, 0, 0, 2, 0, 0, 
## 2, 2, 0, 0, 2, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 
## 0, 0, 0, 5, 0, 0, 15, 0, 0, 0, 15, 10, 0, 0, 0, 2, 0, 0, 10, 
## 30, 0, 0, 2, 1, 0, 0, 0, 0, 30, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 
## 0, 0, 0, 0, 2, 2, 0, 0, 15, 30, 0, 0, 1, 1, 0, 0, 0, 0, 0, 5, 
## 0, 2, 0, 0, 7, 3, 0, 30, 3, 5, 0, 0, 0, 15, 0, 0, 0, 7, 30, 1, 
## 0, 3, 0, 0, 1, 0, 0, 2, 0, 0, 4, 0, 0, 0, 30, 0, 0, 0, 2, 0, 
## 0, 0, 5, 0, 7, 0, 2, 30, 0, 0, 0, 25, 30, 2, 0, 0, 0, 5, 0, 0, 
## 0, 10, 7, 2, 0, 1, 0, 7, 2, 0, 0, 1, 30, 0, 3, 0, 0, 0, 15, 4, 
## 30, 2, 0, 4, 0, 0, 30, 15, 0, 0, 0, 0, 0, 15, 0, 0, 1, 0, 0, 
## 0, 4, 10, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 3, 0, 30, 0, 0, 0, 0, 
## 0, 30, 0, 0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 2, 0, 0, 15, 0, 0, 
## 12, 0, 0, 0, 1, 5, 0, 0, 3, 15, 1, 12, 0, 5, 25, 0, 0, 1, 0, 
## 0, 3, 0, 0, 7, 30, 30, 0, 0, 0, 3, 0, 0, 15, 4, 0, 14, 2, 0, 
## 0, 0, 1, 5, 15, 0, 2, 0, 0, 2, 0, 0, 0, 10, 14, 0, 0, 0, 0, 0, 
## 0, 0, 0, 30, 0, 1, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 15, 30, 30, 
## 4, 1, 2, 30, 0, 0, 1, 0, 0, 30, 0, 0, 0, 0, 2, 0, 0, 0, 16, 3, 
## 12, 5, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 
## 0, 0, 1, 0, 30, 0, 4, 10, 0, 0, 15, 15, 30, 3, 0, 10, 1, 5, 0, 
## 0, 14, 30, 0, 30, 15, 0, 0, 1, 0, 0, 0, 0, 15, 0, 0, 0, 30, 2, 
## 1, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 14, 0, 0, 0, 0, 
## 15, 12, 0, 0, 0, 2, 0, 0, 2, 1, 0, 7, 0, 7, 0, 1, 0, 10, 25, 
## 0, 0, 1, 0, 0, 30, 20, 5, 4, 7, 10, 0, 7, 0, 15, 2, 1, 30, 10, 
## 0, 5, 0, 0, 0, 4, 0, 30, 0, 10, 0, 0, 0, 0, 3, 0, 0, 10, 30, 
## 0, 4, 0, 14, 2, 5, 0, 0, 2, 0, 0, 0, 0, 1, 0, 5, 1, 0, 2, 4, 
## 0, 0, 2, 0, 30, 0, 0, 2, 0, 0, 10, 0, 0, 0, 2, 13, 0, 0, 0, 2, 
## 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 0, 10, 0, 0, 2, 0, 0, 0, 
## 3, 0, 0, 7, 1, 0, 1, 0, 0, 0, 8, 2, 0, 30, 1, 0, 4, 2, 2, 0, 
## 0, 8, 3, 30, 7, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 0, 1, 4, 0, 0, 
## 0, 1, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 1, 30, 0, 0, 0, 0, 2, 
## 0, 4, 0, 5, 0, 4, 0, 0, 0, 2, 6, 0, 0, 2, 0, 0, 0, 7, 0, 30, 
## 3, 0, 0, 0, 7, 4, 20, 30, 30, 14, 0, 0, 2, 20, 0, 0, 0, 0, 0, 
## 0, 0, 5, 0, 0, 2, 10, 2, 0, 0, 0, 0, 30, 0, 0, 15, 0, 1, 0, 0, 
## 0, 0, 0, 0, 3, 0, 10, 3, 0, 3, 0, 0, 5, 1, 0, 4, 30, 0, 0, 6, 
## 2, 30, 0, 0, 0, 0, 0, 1, 8, 0, 0, 15, 0, 0, 2, 0, 0, 2, 0, 2, 
## 30, 30, 0, 0, 5, 30, 0, 0, 30, 10, 0, 0, 30, 2, 0, 0, 0, 0, 0, 
## 0, 3, 0, 0, 0, 0, 30, 4, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 10, 30, 1, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 4, 0, 0, 0, 0, 15, 0, 30, 0, 0, 0, 7, 0, 14, 30, 
## 30, 2, 0, 15, 1, 0, 10, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 30, 15, 
## 0, 0, 2, 0, 0, 7, 0, 0, 1, 0, 0, 7, 1, 1, 1, 0, 5, 0, 0, 0, 0, 
## 0, 0, 0, 1, 2, 0, 0, 0, 10, 7, 0, 5, 0, 0, 0, 2, 0, 0, 14, 7, 
## 0, 0, 0, 2, 16, 0, 0, 2, 0, 20, 2, 3, 1, 2, 0, 5, 0, 15, 0, 0, 
## 0, 3, 30, 0, 0, 30, 0, 30, 0, 2, 0, 0, 3, 0, 30, 4, 0, 0, 0, 
## 3, 0, 5, 4, 0, 0, 2, 30, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 
## 0, 4, 0, 30, 0, 0, 0, 0, 0, 2, 2, 0, 30, 0, 0, 0, 0, 0, 10, 0, 
## 3, 1, 0, 30, 20, 0, 1, 0, 0, 30, 0, 0, 0, 3, 3, 0, 0, 0, 2, 5, 
## 0, 0, 0, 4, 0, 0, 30, 0, 0, 4, 0, 30, 27, 0, 0, 30, 0, 0, 0, 
## 0, 3, 12, 0, 0, 30, 15, 30, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 
## 3, 0, 0, 0, 0, 4, 0, 15, 0, 10, 0, 30, 0, 30, 0, 0, 1, 0, 15, 
## 30, 2, 0, 0, 0, 0, 0, 10, 0, 15, 0, 2, 20, 0, 1, 0, 0, 3, 0, 
## 0, 1, 0, 5, 0, 30, 0, 3, 0, 10, 0, 8, 0, 0, 0, 2, 5, 0, 0, 10, 
## 0, 0, 3, 0, 0, 7, 22, 6, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 
## 0, 0, 0, 0, 0, 0, 10, 0, 2, 0, 2, 0, 0, 0, 0, 5, 30, 10, 4, 0, 
## 0, 2, 0, 0, 5, 0, 0, 10, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 20, 
## 10, 1, 0, 1, 2, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 7, 0, 2, 
## 0, 0, 14, 12, 0, 4, 0, 0, 15, 0, 30, 30, 0, 5, 0, 0, 5, 0, 0, 
## 0, 0, 0, 0, 4, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 5, 
## 0, 0, 0, 0, 4, 0, 0, 1, 0, 6, 2, 7, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 5, 0, 0, 0, 8, 0, 0, 3, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 
## 0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 2, 0, 30, 15, 
## 0, 0, 0, 0, 0, 0, 0, 10, 0, 5, 0, 1, 0, 0, 0, 0, 7, 0, 0, 0, 
## 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 4, 0, 0, 4, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 15, 3, 0, 0, 0, 
## 0, 30, 14, 2, 2, 4, 0, 1, 0, 16, 2, 0, 0, 30, 10, 0, 0, 0, 0, 
## 0, 0, 0, 30, 0, 10, 0, 2, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0, 15, 0, 
## 0, 0, 0, 0, 0, 0, 7, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 15, 
## 2, 0, 0, 0, 0, 30, 4, 0, 0, 0, 0, 6, 15, 0, 0, 3, 7, 2, 0, 0, 
## 0, 0, 0, 3, 0, 5, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 
## 0, 0, 5, 0, 0, 2, 0, 2, 0, 3, 14, 0, 4, 0, 7, 5, 0, 0, 30, 0, 
## 30, 5, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 30, 0, 30, 15, 10, 0, 0, 
## 0, 0, 21, 30, 2, 0, 0, 0, 0, 0, 5, 0, 5, 30, 0, 30, 0, 5, 0, 
## 0, 0, 2, 0, 0, 0, 1, 20, 5, 2, 8, 0, 30, 0, 7, 0, 0, 30, 3, 5, 
## 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 0, 0, 3, 
## 0, 8, 0, 1, 3, 0, 0, 30, 30, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 5, 
## 3, 0, 30, 0, 0, 2, 0, 0, 0, 0, 4, 0, 15, 0, 0, 0, 0, 2, 0, 2, 
## 0, 30, 0, 7, 3, 20, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 2, 15, 
## 9, 30, 0, 0, 0, 15, 0, 0, 0, 0, 5, 0, 0, 0, 1, 30, 0, 0, 20, 
## 0, 0, 0, 0, 0, 4, 0, 15, 6, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 20, 
## 10, 2, 0, 0, 14, 0, 0, 10, 0, 0, 0, 0, 0, 2, 30, 0, 0, 14, 2, 
## 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 30, 7, 0, 0, 0, 3, 0, 0, 10, 0, 
## 1, 0, 0, 2, 2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 5, 2, 0, 0, 0, 
## 5, 1, 0, 0, 2, 2, 0, 0, 0, 15, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 8, 2, 26, 3, 0, 0, 0, 0, 
## 0, 15, 1, 3, 0, 5, 0, 0, 3, 30, 0, 15, 30, 0, 0, 0, 0, 2, 30, 
## 4, 0, 0, 0, 30, 0, 0, 5, 0, 0, 20, 30, 0, 0, 1, 0, 0, 10, 0, 
## 0, 0, 0, 14, 0, 0, 0, 2, 3, 5, 0, 30, 7, 5, 0, 0, 10, 8, 10, 
## 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 3, 0, 30, 0, 15, 30, 0, 0, 30, 
## 0, 0, 0, 14, 0, 0, 0, 25, 15, 0, 10, 0, 1, 0, 30, 20, 0, 0, 0, 
## 1, 10, 5, 27, 2, 15, 0, 0, 0, 0, 15, 0, 0, 2, 15, 0, 0, 0, 10, 
## 7, 0, 0, 10, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 25, 0, 0, 0, 0, 0, 
## 0, 3, 0, 0, 0, 0, 0, 0, 30, 1, 0, 0, 5, 0, 0, 0, 0, 0, 25, 2, 
## 1, 30, 0, 2, 0, 1, 0, 5, 5, 0, 7, 3, 10, 30, 30, 0, 0, 0, 0, 
## 0, 0, 0, 3, 0, 4, 30, 1, 4, 7, 0, 0, 0, 2, 20, 0, 0, 0, 2, 0, 
## 0, 0, 0, 0, 0, 0, 30, 0, 30, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 30, 5, 0, 0, 0, 0, 0, 0, 0, 
## 1, 2, 0, 0, 1, 0, 0, 0, 15, 2, 3, 4, 3, 0, 0, 1, 0, 7, 2, 4, 
## 7, 0, 0, 14, 0, 0, 0, 0, 30, 0, 0, 0, 0, 30, 3, 0, 0, 14, 0, 
## 0, 0, 4, 0, 3, 0, 3, 0, 0, 0, 0, 10, 0, 2, 2, 0, 0, 14, 0, 5, 
## 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 10, 1, 0, 17, 0, 
## 4, 1, 30, 1, 0, 0, 10, 21, 10, 4, 0, 1, 2, 2, 2, 0, 0, 30, 0, 
## 0, 0, 30, 7, 0, 0, 0, 4, 0, 0, 0, 15, 7, 0, 4, 5, 0, 4, 0, 0, 
## 0, 5, 0, 2, 3, 0, 0, 15, 0, 0, 0, 0, 0, 1, 20, 0, 1, 0, 3, 0, 
## 0, 0, 0, 30, 0, 0, 2, 0, 5, 1, 0, 24, 0, 0, 0, 0, 0, 0, 2, 0, 
## 5, 3, 0, 0, 29, 30, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 
## 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 30, 3, 0, 
## 0, 0, 2, 7, 0, 0, 7, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
## 0, 30, 0, 30, 0, 30, 0, 0, 0, 0, 3, 0, 0, 0, 0, 7, 0, 2, 0, 0, 
## 0, 2, 0, 0, 0, 0, 0, 0, 0, 30, 3, 0, 30, 0, 2, 0, 10, 5, 7, 1, 
## 0, 10, 4, 0, 1, 30, 6, 0, 30, 30, 0, 0, 0, 0, 30, 15, 0, 0, 0, 
## 0, 5, 0, 0, 0, 0, 0, 0, 5, 20, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
## 0, 0, 0, 0, 1, 0, 2, 30, 0, 0, 14, 0, 0, 30, 0, 0, 3, 3, 0, 0, 
## 3, 30, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, 0, 12, 2, 0, 
## 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 5, 0, 0, 0, 0, 0, 15, 
## 7, 0, 0, 0, 3, 7, 0, 2, 30, 0, 15, 0, 30, 0, 0, 0, 0, 30, 0, 
## 0, 1, 2, 0, 0, 15, 3, 0, 3, 5, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 
## 0, 2, 5, 0, 3, 2, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 
## 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 1, 30, 0, 0, 0, 0, 
## 10, 0, 0, 0, 0, 10, 6, 10, 0, 0, 0, 15, 1, 0, 30, 2, 10, 0, 0, 
## 0, 0, 1, 2, 0, 30, 0, 0, 18, 2, 30, 0, 1, 0, 15, 7, 0, 15, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 3, 0, 5, 0, 0, 
## 10, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 28, 
## 0, 2, 5, 0, 0, 30, 0, 0, 7, 0, 5, 0, 0, 30, 8, 0, 0, 0, 0, 0, 
## 0, 0, 1, 0, 0, 0, 3, 0, 10, 0, 0, 3, 2, 1, 0, 0, 0, 0, 30, 15, 
## 3, 4, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 
## 5, 30, 0, 0, 5, 4, 3, 20, 0, 0, 10, 0, 1, 4, 5, 0, 20, 30, 2, 
## 0, 0, 4, 25, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 
## 30, 2, 4, 0, 0, 1, 0, 2, 0, 3, 0, 26, 1, 1, 0, 15, 0, 0, 0, 0, 
## 4, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 0, 
## 7, 20, 2, 0, 0, 1, 0, 0, 0, 0, 25, 0, 30, 20, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 25, 14, 3, 0, 0, 0, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 30, 0, 0, 0, 0, 2, 3, 5, 0, 1, 
## 0, 0, 0, 0, 0, 15, 0, 2, 0, 0, 10, 0, 0, 0, 0, 0, 0, 30, 0, 0, 
## 30, 5, 14, 0, 2, 0, 1, 10, 3, 0, 0, 4, 0, 0, 0, 0, 15, 30, 7, 
## 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 20, 2, 0, 0, 2, 0, 0, 
## 0, 2, 10, 0, 15, 7, 0, 0, 4, 15, 0, 0, 0, 2, 3, 0, 0, 7, 0, 0, 
## 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 5, 15, 
## 20, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 
## 2, 0, 0, 0, 0, 30, 0, 0, 1, 0, 0, 15, 3, 0, 0, 0, 2, 0, 0, 0, 
## 0, 5, 0, 30, 0, 0, 30, 20, 10, 0, 0, 3, 0, 0, 0, 25, 0, 0, 0, 
## 0, 0, 15, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 30, 0, 3, 0, 5, 0, 3, 
## 0, 0, 2, 0, 30, 3, 0, 2, 15, 7, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 
## 14, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 3, 2, 0, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 18, 30, 2, 0, 0, 0, 0, 6, 
## 0, 0, 0, 2, 5, 10, 0, 0, 0, 24, 4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 
## 0, 1, 0, 0, 0, 2, 5, 0, 0, 0, 10, 30, 0, 0, 15, 4, 0, 2, 20, 
## 15, 5, 7, 5, 14, 0, 20, 0, 0, 0, 10, 0, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 1, 10, 10, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 
## 7, 0, 0, 0, 5, 0, 0, 0, 0, 5, 25, 2, 0, 0, 30, 0, 0, 0, 1, 0, 
## 0, 3, 0, 0, 0, 2, 14, 2, 0, 30, 0, 0, 0, 0, 2, 3, 7, 3, 0, 7, 
## 0, 14, 4, 0, 3, 30, 0, 0, 0, 0, 0, 2, 1, 0, 30, 0, 7, 1, 0, 0, 
## 0, 0, 4, 30, 0, 0, 0, 20, 0, 0, 0, 0, 2, 0, 0, 30, 4, 0, 5, 2, 
## 0, 4, 0, 1, 0, 0, 0, 0, 2, 14, 10, 0, 10, 0, 0, 0, 0, 0, 20, 
## 2, 1, 3, 0, 2, 0, 0, 0, 0, 0, 0, 30, 0, 3, 0, 0, 0, 0, 2, 2, 
## 15, 1, 0, 0, 30, 0, 0, 4, 0, 0, 0, 0, 4, 0, 3, 2, 0, 0, 0, 0, 
## 10, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 7, 7, 21, 7, 30, 0, 0, 
## 0, 0, 5, 30, 0, 3, 30, 30, 0, 30, 0, 30, 7, 0, 4, 0, 3, 3, 0, 
## 0, 12, 10, 0, 0, 0, 5, 30, 30, 0, 3, 14, 14, 0, 5, 0, 30, 0, 
## 30, 0, 0, 0, 0, 0, 0, 30, 30, 0, 7, 25, 15, 1, 5, 0, 0, 0, 0, 
## 0, 15, 0, 5, 30, 0, 1, 0, 6, 30, 30, 11, 0, 0, 0, 0, 0, 0, 3, 
## 0, 30, 0, 10, 30, 7, 0, 30, 0, 0, 5, 0, 30, 30, 1, 30, 0, 0, 
## 0, 0, 30, 30, 20, 7, 0, 1, 2, 0, 15, 30, 15, 14, 0, 0, 6, 0, 
## 0, 1, 0, 3, 30, 1, 3, 0, 0, 30, 0, 0, 0, 30, 7, 30, 10, 0, 7, 
## 5, 0, 0, 0, 5, 0, 30, 3, 10, 15, 0, 25, 0, 30, 0, 30, 5, 3, 30, 
## 30, 0, 1, 30, 0, 30, 0, 15, 0, 0, 20, 0, 7, 10, 0, 5, 3, 0, 0, 
## 20, 30, 20, 0, 0, 3, 30, 30, 0, 0, 0, 30, 30, 0, 8, 14, 10, 0, 
## 0, 1, 0, 2, 0, 30, 7, 0, 30, 4, 14, 0, 0, 0, 3, 30, 30, 0, 30, 
## 3, 0, 0, 0, 30, 30, 0, 30, 30, 30, 0, 9, 0, 0, 30, 20, 0, 0, 
## 2, 0, 30, 3, 0, 0, 0, 6, 30, 0, 30, 0, 30, 25, 0, 7, 28, 30, 
## 0, 1, 0, 0, 4, 20, 25, 1, 30, 8, 30, 30, 0, 0, 0, 30, 0, 0, 0, 
## 20, 2, 0, 2, 0, 0, 0, 0, 30, 4, 0, 3, 0, 2, 0, 0, 30, 25, 0, 
## 0, 20, 0, 15, 3, 0, 0, 20, 0, 30, 0, 25, 0, 10, 5, 5, 25, 0, 
## 0, 0, 30, 10, 0, 0, 4, 0, 3, 0, 0, 0, 0, 3, 10, 0, 3, 0, 0, 30, 
## 30, 30, 0, 7, 2, 0, 3, 14, 30, 10, 0, 2, 12, 0, 0, 4, 30, 0, 
## 0, 0, 4, 14, 30, 0, 0, 30, 30, 4, 0, 30, 0, 20, 0, 7, 0, 0, 30, 
## 0, 0, 15, 0, 3, 30, 30, 10, 3, 7, 0, 30, 0, 30, 0, 10, 30, 1, 
## 30, 0, 0, 30, 30, 0, 5, 5, 0, 1, 0, 0, 25, 0, 0, 15, 2, 30, 0, 
## 0, 30, 30, 0, 0, 2, 0, 7, 0, 5, 30, 15, 0, 0, 0, 3, 0, 10, 10, 
## 5, 0, 0, 0, 25, 1, 2, 8, 0, 0, 0, 14, 1, 0, 0, 7, 0, 5, 5, 2, 
## 0, 0, 3, 30, 7, 0, 10, 0, 0, 1, 4, 0, 20, 30, 0, 30, 1, 0, 10, 
## 15, 30, 0, 30, 10, 22, 30, 4, 0, 0, 0, 20, 2, 0, 7, 10, 0, 21, 
## 30, 10, 10, 15, 0, 30, 5, 0, 0, 0, 30, 14, 0, 1, 30, 1, 0, 0, 
## 8, 12, 4, 30, 0, 30, 5, 0, 1, 0, 2, 15, 0, 0, 0, 0, 0, 4, 0, 
## 4, 20, 0, 30, 4, 30, 21, 0, 30, 10, 30, 0, 3, 0, 30, 3, 21, 0, 
## 0, 30, 25, 30, 29, 30, 2, 0, 0, 0, 20, 2, 0, 2, 6, 0, 12, 0, 
## 0, 0, 30, 5, 30, 2, 5, 0, 30, 0, 14, 0, 29, 20, 30, 30, 30, 8, 
## 30, 30, 30, 0, 10, 0, 0, 0, 1, 4, 30, 30, 0, 0, 0, 30, 0, 0, 
## 0, 0, 0, 25, 0, 30, 3, 14, 30, 0, 5, 30, 0, 4, 30, 0, 0, 14, 
## 30, 30, 30, 14, 3, 15, 30, 0, 0, 5, 0, 30, 8, 3, 0, 5, 0, 30, 
## 0, 4, 30, 30, 15, 0, 0, 0, 0, 10, 0, 0, 5, 0, 25, 0, 0, 3, 0, 
## 0, 0, 2, 0, 10, 7, 30, 2, 0, 0, 30, 30, 5, 0, 10, 30, 0, 30, 
## 0, 0, 0, 30, 30, 0, 0, 10, 30, 0, 10, 30, 30, 25, 0, 0, 29, 0, 
## 3, 0, 30, 0, 30, 0, 0, 6, 0, 0, 0, 30, 0, 3, 0, 0, 30, 15, 3, 
## 0, 15, 14, 15, 0, 0, 0, 30, 30, 30, 4, 3, 30, 0, 2, 30, 14, 30, 
## 30, 0, 0, 0, 0, 0, 0, 3, 5, 0, 8, 0, 30, 0, 30, 0, 30, 0, 4, 
## 30, 30, 0, 3, 30, 0, 0, 3, 2, 30, 30, 14, 0, 8, 0, 7, 30, 0, 
## 30, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 15, 15, 0, 0, 30, 0, 30, 0, 
## 0, 7, 30, 0, 30, 0, 8, 0, 3, 0, 3, 30, 0, 0, 30, 30, 3, 21, 30, 
## 0, 21, 0, 0, 30, 15, 21, 0, 28, 30, 15, 5, 5, 25, 4, 3, 0, 0, 
## 0, 0, 30, 7, 0, 0, 0, 0, 25, 2, 10, 0, 0, 30, 14, 10, 4, 0, 0, 
## 20, 5, 6, 0, 0, 30, 4, 30, 0, 30, 3, 15, 5, 30, 30, 0, 0, 30, 
## 2, 0, 2, 1, 0, 30, 0, 30, 5, 0, 30, 15, 30, 30, 30, 30, 5, 5, 
## 20, 30, 15, 0, 0, 1, 3, 3, 0, 0, 0, 1, 3, 1, 10, 20, 10, 30, 
## 3, 30, 30, 15, 15, 10, 10, 15, 0, 0, 20, 10, 30, 5, 0, 0, 0, 
## 0, 2, 3, 3, 0, 0, 0, 3, 3, 0, 0, 2, 0, 0, 0, 30, 2, 0, 2, 10, 
## 0, 0, 2, 0, 0, 0, 0, 0, 15, 0, 30, 30, 0, 2, 0, 0, 3, 2, 15, 
## 0, 0, 0, 30, 4, 30, 0, 0, 6, 20, 3, 30, 30, 30, 7, 0, 0, 0, 0, 
## 0, 10, 2, 0, 10, 1, 0, 3, 5, 5, 0, 0, 20, 0, 30, 0, 0, 5, 0, 
## 0, 2, 0, 30, 0, 2, 7, 0, 0, 3, 2, 30, 0, 7, 26, 15, 0, 3, 0, 
## 0, 0, 0, 0, 3, 30, 14, 10, 2, 0, 0, 5, 2, 1, 0, 0, 30, 0, 10, 
## 0, 0, 25, 0, 21, 4, 0, 0, 0, 30, 17, 0, 0, 0, 20, 21, 14, 2, 
## 0, 30, 0, 0, 0, 20, 0, 30, 0, 0, 0, 30, 20, 5, 0, 0, 0, 10, 0, 
## 0, 0, 0, 30, 5, 30, 0, 30, 0, 1, 0, 30, 0, 0, 2, 0, 7, 2, 10, 
## 14, 10, 0, 15, 30, 0, 0, 30, 30, 2, 3, 0, 7, 30, 0, 0, 10, 1, 
## 2, 15, 0, 5, 0, 0, 30, 0, 0, 0, 18, 0, 0, 15, 0, 7, 0, 0, 7, 
## 0, 0, 5, 0, 0, 0, 0, 2, 30, 0, 25, 14, 0, 15, 30, 30, 0, 0, 0, 
## 0, 2, 20, 0, 4, 0, 0, 0, 0, 0, 20, 4, 25, 1, 15, 0, 0, 6, 0, 
## 0, 30, 2, 0, 0, 30, 10, 15, 0, 30, 10, 0, 30, 0, 0, 2, 0, 15, 
## 0, 0, 15, 0, 15, 0, 30, 30, 0, 10, 3, 15, 0, 30, 0, 0, 1, 30, 
## 30, 8, 0, 0, 0, 30, 0, 0, 0, 0, 30, 15, 0, 0, 15, 30, 30, 30, 
## 30, 0, 30, 3, 14, 0, 30, 30, 0, 15, 0, 0, 5, 5, 0, 2, 5, 0, 0, 
## 30, 5, 12, 0, 30, 0, 0, 0, 0, 3, 20, 0, 6, 10, 0, 0, 25, 0, 0, 
## 30, 2, 0, 0, 7, 2, 0, 0, 30, 0, 15, 30, 30, 20, 0, 0, 28, 0, 
## 14, 1, 30, 5, 1, 0, 0, 0, 30, 30, 0, 0, 30, 0, 30, 0, 15, 1, 
## 7, 14, 30, 0, 0, 30, 0, 0, 0, 30, 30, 0, 0, 5, 6, 0, 0, 5, 0, 
## 0, 10, 30, 0, 0, 30, 30, 0, 15, 4, 0, 5, 1, 1, 5, 2, 0, 0, 4, 
## 30, 0, 15, 0, 2, 3, 0, 0, 20, 0, 1, 5, 0, 4, 0, 1, 0, 0, 0, 30, 
## 3, 0, 0, 0, 1, 8, 2, 15, 30, 30, 0, 0, 30, 21, 20, 0, 0, 0, 20, 
## 7, 0, 10, 0, 30, 7, 2, 10, 14, 0, 15, 2, 30, 30, 0, 14, 30, 0, 
## 30, 30, 5, 0, 30, 30, 15, 0, 5, 0, 10, 6, 0, 30, 10, 0, 20, 0, 
## 25, 0, 30, 10, 20, 30, 30, 6, 5, 5, 3, 30, 0, 5, 5, 30, 30, 4, 
## 0, 3, 1, 15, 3, 0, 30, 15, 0, 20, 5, 0, 30, 30, 15, 10, 0, 0, 
## 0, 0, 7, 30, 25, 0, 0, 10, 30, 15, 30, 0, 0, 0, 0, 15, 12, 0, 
## 2, 2, 5, 14, 7, 10, 0, 0, 5, 0, 30, 2, 0, 20, 5, 30, 0, 0, 0, 
## 25, 2, 0, 7, 30, 0, 0, 3, 0, 20, 30, 0, 30, 20, 0, 0, 5, 3, 20, 
## 14, 0, 0, 0, 15, 30, 7, 20, 0, 2, 0, 0, 0, 0, 0, 0, 0, 15, 0, 
## 30, 15, 0, 30, 0, 2, 0, 0, 30, 30, 0, 3, 20, 30, 7, 0, 2, 0, 
## 2, 0, 0, 0, 28, 0, 5, 0, 30, 30, 30, 0, 7, 30, 30, 0, 28, 7, 
## 0, 0, 30, 2, 0, 0, 0, 21, 0, 0, 30, 30, 0, 8, 6, 25, 0, 2, 20, 
## 30, 30, 30, 30, 0, 3, 3, 10, 0, 3, 14, 0, 7, 15, 10, 0, 0, 0, 
## 24, 30, 5, 1, 0, 10, 10, 30, 0, 2, 0, 0, 0, 5, 20, 30, 0, 1, 
## 30, 0, 22, 0, 0, 0, 0, 2, 0, 20, 3, 7, 0, 0, 3, 3, 0, 6, 10, 
## 3, 0, 0, 0, 8, 4, 2, 3, 0, 0, 30, 0, 10, 0, 0, 15, 30, 30, 7, 
## 4, 7, 5, 4, 0, 0, 0, 30, 0, 30, 30, 0, 30, 0, 0, 20, 0, 30, 0, 
## 5, 0, 7, 0, 0, 0, 14, 0, 30, 10, 30, 0, 30, 30, 0, 5, 5, 3, 30, 
## 4, 16, 7, 5, 0, 25, 10, 0, 2, 0, 0, 0, 2, 30, 0, 25, 30, 0, 30, 
## 0, 21, 20, 30, 7, 5, 15, 1, 1, 0, 30, 14, 0, 10, 10, 0, 5, 15, 
## 30, 30, 0, 0, 15, 0, 30, 5, 30, 20, 5, 0, 30, 2, 0, 0, 15, 30, 
## 0, 0, 5, 0, 7, 30, 0, 0, 0, 0, 0, 30, 2, 20, 0, 5, 0, 30, 3, 
## 30, 20, 30, 0, 10, 30, 2, 30, 0, 30, 2, 0, 30, 15, 2, 30, 0, 
## 3, 0, 5, 0, 0, 3, 0, 30, 0, 30, 0, 0, 30, 0, 0, 0, 30, 0, 1, 
## 30, 30, 30, 0, 20, 30, 0, 30, 3, 5, 0, 2, 10, 4, 30, 25, 0, 2, 
## 0, 20, 30, 30, 7, 0, 2, 17, 2, 30, 0, 0, 0, 4, 4, 30, 15, 20, 
## 0, 0, 30, 30, 12, 30, 0, 0, 0, 2, 30, 0, 4, 2, 30, 0, 0, 30, 
## 0, 10, 0, 0, 0, 0, 7, 30, 6, 0, 0, 0, 20, 5, 30, 0, 0, 20, 30, 
## 2, 0, 30, 0, 0, 4, 2, 0, 30, 7, 0, 10, 1, 0, 30, 3, 18, 3, 2, 
## 0, 25, 0, 0, 0, 0, 5, 0, 10, 0, 0, 30, 10, 0, 30, 0, 0, 16, 2, 
## 30, 30, 30, 1, 0, 30, 30, 0, 0, 0, 20, 10, 0, 0, 0, 20, 5, 3, 
## 0, 0, 30, 5, 30, 2, 0, 0, 15, 10, 15, 0, 3, 8, 5, 0, 0, 0, 30, 
## 0, 10, 5, 0, 30, 5, 0, 10, 4, 0, 0, 7, 20, 8, 0, 0, 3, 0, 0, 
## 1, 25, 0, 10, 4, 30, 0, 0, 30, 4, 0, 30, 30, 5, 0, 0, 30, 30, 
## 5, 15, 30, 30, 30, 0, 0, 2, 0, 0, 8, 5, 0, 1, 28, 0, 30, 10, 
## 0, 30, 1, 6, 0, 15, 30, 30, 6, 15, 0, 3, 30, 3, 30, 25, 3, 0, 
## 0, 0, 5, 0, 0, 30, 0, 0, 0, 0, 10, 0, 7, 30, 0, 0, 0, 2, 1, 7, 
## 14, 0, 30, 0, 25, 0, 30, 14, 30, 0, 0, 10, 4, 0, 30, 15, 0, 0, 
## 10, 0, 10, 5, 5, 30, 0, 0, 30, 0, 0, 3, 0, 0, 0, 0, 0, 30, 3, 
## 30, 0, 0, 30, 0, 0, 0, 30, 3, 0, 0, 0, 10, 0, 15, 0, 0, 30, 0, 
## 30, 0, 3, 0, 0, 0, 0, 0, 30, 0, 15, 0, 30, 0, 0, 0, 0, 30, 0, 
## 1, 0, 25, 0, 0, 0, 0, 0, 0, 25, 30, 20, 0, 28, 0, 3, 0, 0, 1, 
## 0, 20, 14, 30, 20, 0, 2, 4, 30, 6, 0, 7, 0, 0, 2, 2, 3, 14, 30, 
## 0, 0, 3, 0, 1, 2, 15, 0, 0, 0, 4, 26, 21, 30, 0, 0, 0, 10, 0, 
## 0, 10, 30, 0, 30, 0, 30, 0, 4, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 30, 30, 25, 1, 7, 0, 0, 20, 
## 12, 0, 0, 7, 10, 10, 0, 10, 0, 0, 30, 30, 0, 0, 30, 0, 10, 30, 
## 30, 2, 0, 15, 1, 30, 30, 0, 4, 1, 15, 3, 0, 0, 0, 0, 30, 10, 
## 0, 0, 0, 14, 0, 0, 30, 5, 3, 14, 20, 30, 0, 30, 0, 0, 4, 30, 
## 0, 0, 15, 5, 15, 0, 20, 0, 30, 30, 3, 0, 5, 20, 0, 5, 0, 20, 
## 0, 0, 0, 30, 2, 0, 0, 0, 15, 27, 4, 0, 25, 2, 10, 30, 3, 5, 0, 
## 30, 1, 14, 10, 0, 14, 7, 30, 30, 6, 0, 10, 10, 30, 1, 0, 29, 
## 2, 0, 14, 30, 30, 10, 28, 0, 0, 0, 0, 0, 0, 3, 0, 30, 10, 30, 
## 10, 0, 30, 5, 0, 0, 15, 30, 1, 21, 30, 10, 30, 15, 30, 0, 30, 
## 30, 1, 0, 0, 30, 25, 3, 10, 0, 30, 0, 0, 0, 3, 21, 0, 0, 30, 
## 3, 7, 4, 0, 0, 0, 2, 3, 30, 5, 0, 0, 30, 0, 1, 0, 0, 0, 30, 0, 
## 0, 0, 0, 15, 15, 0, 10, 0, 30, 30, 28, 0, 15, 0, 0, 0, 25, 0, 
## 30, 30, 2, 30, 5, 0, 3, 0, 2, 14, 30, 0, 2, 0, 0, 7, 0, 0, 30, 
## 7, 1, 0, 0, 30, 2, 0, 2, 0, 10, 0, 0, 2, 3, 30, 0, 30, 2, 25, 
## 30, 0, 30, 3, 30, 7, 20, 0, 14, 0, 30, 0, 0, 30, 0, 0, 0, 7, 
## 0, 0, 0, 0, 4, 0, 4, 30, 0, 30, 0, 10, 30, 0, 3, 0, 30, 0, 0, 
## 0, 3, 30, 0, 0, 2, 4, 15, 30, 0, 21, 5, 30, 2, 10, 0, 0, 27, 
## 30, 0, 30, 15, 0, 2, 0, 0, 0, 10, 2, 0, 2, 0, 2, 30, 0, 0, 0, 
## 0, 30, 0, 10, 7, 0, 3, 0, 5, 0, 15, 3, 1, 0, 0, 30, 10, 0, 15, 
## 0, 0, 5, 0, 2, 30, 3, 5, 15, 0, 0, 30, 0, 30, 0, 5, 30, 0, 5, 
## 7, 1, 30, 20, 30, 30, 0, 5, 30, 30, 8, 7, 30, 0, 0, 27, 0, 5, 
## 0, 0, 10, 30, 1, 2, 30, 0, 0, 25, 15, 0, 0, 3, 30, 0, 0, 30, 
## 20, 14, 0, 30, 0, 10, 0, 6, 0, 0, 15, 3, 0, 5, 0, 30, 5, 2, 0, 
## 0, 20, 0, 10, 0, 30, 14, 0, 12, 0, 0, 6, 0, 30, 1, 0, 9, 3, 2, 
## 0, 0, 15, 30, 30, 30, 0, 2, 12, 0, 0, 0, 10, 14, 0, 30, 15, 5, 
## 30, 6, 0, 15, 20, 15, 30, 0, 0, 7, 0, 30, 1, 2, 30, 30, 0, 18, 
## 10, 2, 14, 1, 0, 20, 5, 0, 0, 0, 5, 0, 30, 0, 0, 0, 2, 10, 0, 
## 0, 0, 5, 0, 0, 0, 0, 1, 0, 30, 0, 17, 0, 0, 0, 0, 10, 0, 1, 0, 
## 30, 30, 30, 4, 30, 5, 0, 30, 2, 14, 3, 0, 0, 6, 5, 30, 10, 7, 
## 0, 0, 0, 6, 5, 7, 30, 20, 7, 0, 15, 30, 0, 2, 0, 7, 30, 3, 0, 
## 0, 25, 30, 0, 0, 0, 0, 30, 0, 0, 30, 14, 30, 30, 18, 30, 30, 
## 0, 0, 30, 0, 0, 0, 30, 30, 30, 15, 0, 0, 4, 0, 5, 30, 0, 0, 30, 
## 2, 30, 1, 30, 0, 3, 0, 5, 25, 30, 30, 0, 14, 0, 15, 4, 0, 0, 
## 0, 0, 0, 15, 0, 30, 0, 1, 6, 8, 0, 26, 0, 30, 25, 20, 0, 0, 0, 
## 25, 30, 0, 20, 1, 1, 0, 30, 30, 0, 30, 30, 30, 7, 0, 6, 0, 8, 
## 2, 0, 0, 2, 0, 0, 3, 3, 0, 3, 20, 30, 1, 0, 2, 12, 20, 0, 30, 
## 30, 3, 0, 0, 6, 0, 14, 21, 0, 1, 10, 0, 4, 6, 2, 23, 0, 14, 30, 
## 7, 0, 0, 0, 14, 30, 0, 5, 5, 0, 4, 14, 0, 0, 4, 0, 20, 0, 30, 
## 30, 30, 25, 1, 5, 0, 0, 20, 2, 7, 3, 0, 0, 30, 5, 0, 4, 14, 0, 
## 5, 10, 2, 0, 30, 1, 0, 12, 8, 5, 20, 5, 0, 0, 0, 0, 30, 0, 30, 
## 0, 30, 8, 0, 0, 10, 28, 0, 15, 30, 0, 30, 10, 13, 30, 0, 0, 10, 
## 3, 10, 30, 0, 0, 20, 25, 10, 0, 2, 2, 3, 0, 15, 3, 0, 30, 0, 
## 0, 30, 30, 30, 0, 1, 0, 30, 0, 18, 0, 0, 15, 30, 1, 3, 3, 15, 
## 30, 30, 20, 30, 30, 2, 30, 1, 2, 5, 14, 10, 30, 30, 30, 0, 2, 
## 0, 0, 14, 20, 30, 30, 1, 0, 4, 30, 2, 0, 30, 30, 30, 0, 7, 30, 
## 0, 30, 30, 0, 0, 0, 20, 0, 10, 3, 20, 0, 7, 20, 3, 0, 0, 7, 0, 
## 0, 30, 15, 0, 0, 0, 5, 30, 2, 10, 0, 20, 10, 2, 3, 7, 0, 0, 0, 
## 20, 7, 30, 7, 28, 10, 0, 2, 30, 0, 30, 3, 2, 10, 0, 0, 7, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 3, 10, 0, 5, 30, 2, 0, 4, 3, 
## 15, 5, 1, 30, 0, 5, 3, 1, 20, 30, 0, 30, 0, 7, 30, 0, 0, 0, 0, 
## 20, 15, 1, 0, 2, 1, 0, 20, 10, 0, 0, 30, 21, 15, 0, 0, 30, 0, 
## 0, 0, 0, 0, 2, 30, 0, 0, 30, 0, 30, 30, 0, 28, 0, 0, 0, 4, 0, 
## 30, 30, 0, 0, 30, 30, 30, 0, 3, 0, 2, 30, 30, 0, 10, 29, 1, 15, 
## 20, 4, 0, 10, 29, 0, 20, 30, 0, 10, 0, 6, 10, 0, 0, 30, 30, 4, 
## 0, 2, 0, 4, 0, 20, 30, 30, 30, 14, 0, 0, 0, 0, 0, 0, 30, 1, 30, 
## 0, 0, 25, 30, 0, 30, 21, 0, 20, 30, 30, 2, 3, 0, 3, 15, 0, 30, 
## 3, 0, 30, 20, 0, 0, 2, 1, 20, 30, 3, 3, 30, 0, 30, 0, 0, 3, 0, 
## 15, 0, 0, 0, 30, 0, 30, 2, 0, 2, 0, 2, 15, 1, 5, 29, 2, 30, 30, 
## 15, 30, 0, 4, 0, 1, 0, 7, 30, 0, 0, 0, 30, 0, 5, 0, 30, 30, 0, 
## 10, 0, 30, 15, 0, 0, 10, 0, 0, 30, 0, 0, 30, 0, 0, 15, 0, 0, 
## 0, 0, 10, 0, 3, 10, 0, 0, 30, 0, 0, 30, 0, 14, 0, 10, 0, 0, 30, 
## 0, 0, 0, 30, 30, 0, 25, 25, 1, 5, 20, 0, 30, 0, 15, 3, 15, 30, 
## 4, 2, 20, 0, 15, 3, 2, 2, 2, 0, 30, 15, 0, 0, 5, 0, 0, 0, 30, 
## 20, 30, 30, 10, 0, 2, 0, 0, 0, 0, 2, 30, 2, 10, 0, 0, 0, 1, 0, 
## 0, 2, 20, 30, 10, 0, 2, 30, 2, 30, 0, 0, 0, 0, 0, 10, 0, 0, 0, 
## 1, 30, 30, 0, 30, 0, 0, 10, 0, 0, 0, 4, 30, 10, 0, 30, 10, 30, 
## 0, 3, 0, 10, 0, 0, 0, 0, 6, 5, 0, 0, 0, 0, 0, 10, 10, 0, 30, 
## 0, 0, 1, 0, 15, 0, 2, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 4, 0, 30, 
## 3, 0, 0, 0, 7, 2, 15, 0, 0, 2, 0, 0, 1, 30, 30, 10, 20, 1, 2, 
## 10, 0, 30, 0, 4, 0, 0, 2, 2, 0, 0, 0, 15, 0, 30, 0, 0, 15, 0, 
## 3, 30, 8, 0, 1, 3, 30, 0, 2, 0, 30, 0, 10, 30, 30, 21, 24, 30, 
## 0, 30, 30, 0, 8, 2, 1, 0, 3, 15, 0, 15, 0, 0, 30, 25, 10, 0, 
## 20, 30, 2, 2, 0, 0, 0, 0, 20, 0, 30, 0, 0, 0, 10, 0, 0, 3, 0, 
## 15, 30, 30, 0, 0, 0, 2, 7, 0, 3, 20, 0, 0, 0, 0, 4, 14, 0, 0, 
## 28, 0, 0, 5, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 2, 0, 0, 14, 0, 25, 
## 5, 0, 0, 15, 0, 30, 0, 3, 14, 7, 5, 8, 25, 0, 5, 0, 0, 0, 0, 
## 0, 30, 0, 5, 0, 28, 5, 30, 0, 28, 0, 0, 14, 30, 4, 30, 2, 30, 
## 3, 30, 30, 5, 5, 3, 0, 0, 0, 30, 5, 0, 0, 0, 15, 0, 0, 30, 30, 
## 4, 10, 0, 30, 0, 30, 0, 0, 30, 0, 30, 3, 7, 0, 30, 20, 30, 27, 
## 15, 2, 0, 7, 6, 10, 25, 0, 30, 30, 7, 15, 30, 4, 30, 2, 0, 0, 
## 0, 30, 0, 0, 2, 30, 30, 0, 0, 30, 0, 30, 0, 5, 0, 30, 0, 3, 0, 
## 0, 30, 0, 5, 1, 0, 0, 30, 1, 0, 2, 10, 0, 30, 0, 0, 30, 30, 0, 
## 0, 2, 30, 0, 2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 20, 
## 0, 13, 30, 30, 30, 7, 4, 1, 0, 30, 0, 0, 0, 10, 10, 3, 0, 30, 
## 10, 3, 0, 0, 2, 30, 0, 26, 15, 0, 10, 30, 1, 0, 0, 4, 0, 30, 
## 0, 0, 0, 30, 15, 30, 0, 0, 0, 0, 2, 6, 0, 7, 0, 5, 0, 2, 30, 
## 1, 0, 28, 0, 20, 30, 30, 3, 0, 20, 0, 0, 0, 0, 0, 20, 30, 1, 
## 10, 30, 14, 3, 0, 0, 0, 0, 0, 20, 15, 30, 15, 0, 25, 10, 0, 15, 
## 0, 2, 7, 5, 5, 30, 0, 30, 30, 0, 30, 15, 5, 0, 0, 30, 1, 0, 2, 
## 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 14, 0, 5, 0, 30, 0, 0, 0, 30, 0, 
## 30, 0, 4, 4, 0, 30, 5, 30, 0, 30, 5, 30, 0, 3, 0, 21, 0, 15, 
## 0, 2, 30, 2, 30, 4, 15, 5, 0, 11, 1, 15, 0, 3, 0, 30, 0, 0, 0, 
## 6, 15, 0, 0, 30, 0, 0, 0, 30, 10, 0, 2, 0, 1, 0, 0, 0, 0, 0, 
## 0, 30, 30, 30, 9, 3, 0, 14, 0, 0, 0, 30, 0, 7, 30, 20, 0, 2, 
## 0, 3, 1, 0, 2, 0, 0, 0, 30, 0, 3, 0, 0, 30, 0, 1, 0, 0, 30, 10, 
## 30, 0, 0, 0, 0, 30, 0, 30, 0, 0, 0, 2, 0, 0, 30, 30, 0, 0, 0, 
## 21, 0, 28, 0, 2, 0, 0, 1, 10, 30, 4, 30, 2, 15, 30, 30, 0, 0, 
## 30, 0, 4, 4, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 30, 
## 0, 0, 21, 10, 0, 0, 0, 30, 0, 3, 2, 2, 10, 0, 10, 30, 1, 30, 
## 3, 3, 0, 0, 2, 15, 4, 0, 30, 3, 1, 10, 0, 0, 0, 0, 0, 3, 2, 0, 
## 3, 10, 0, 0, 0, 3, 15, 15, 0, 0, 15, 0, 20, 10, 0, 2, 1, 0, 0, 
## 0, 4, 5, 0, 30, 30, 0, 0, 0, 0, 0, 6, 10, 0, 0, 0, 25, 0, 30, 
## 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 15, 0, 0, 0, 30, 0, 0, 14, 0, 
## 0, 0, 30, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 5, 30, 30, 0, 7, 20, 
## 10, 20, 0, 0, 15, 17, 30, 3, 0, 0, 30, 15, 30, 30, 30, 7, 0, 
## 4, 0, 0, 6, 0, 0, 5, 30, 30, 30, 7, 30, 1, 0, 3, 30, 20, 0, 30, 
## 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 14, 0, 0, 5, 2, 0, 15, 0, 0, 0, 
## 14, 0, 25, 30, 0, 0, 0, 12, 15, 30, 5, 20, 0, 30, 0, 25, 30, 
## 0, 0, 0, 0, 30, 30, 0, 0, 0, 0, 1, 7, 0, 7, 16, 0, 0, 3, 10, 
## 14, 25, 3, 10, 2, 0, 5, 0, 1, 0, 0, 0, 0, 0, 30, 0, 0, 30, 30, 
## 0, 3, 0, 30, 30, 0, 4, 0, 7, 5, 5, 30, 0, 5, 0, 30, 0, 30, 30, 
## 30, 0, 0, 11, 0, 15, 3, 10, 5, 0, 0, 30, 0, 5, 0, 30, 0, 2, 1, 
## 0, 0, 3, 2, 15, 30, 30, 0, 0, 30, 7, 30, 0, 0, 15, 0, 30, 0, 
## 0, 30, 30, 30, 0, 30, 4, 30, 10, 0, 0, 5, 0, 0, 6, 0, 0, 0, 0, 
## 0, 2, 0, 7, 0, 0, 30, 0, 0, 0, 0, 0, 30, 5, 15, 4, 2, 30, 30, 
## 30, 4, 4, 30, 0, 30, 30, 0, 30, 0, 0, 0, 30, 0, 0, 15, 7, 15, 
## 30, 12, 0, 30, 30, 0, 30, 0, 20, 30, 0, 0, 30, 30, 14, 5, 0, 
## 30, 0, 0, 1, 0, 0, 0, 0, 0, 30, 30, 0, 7, 5, 3, 30, 25, 30, 5, 
## 0, 7, 0, 7, 3, 0, 30, 5, 20, 0, 15, 10, 30, 8, 0, 7, 0, 30, 1, 
## 3, 15, 0, 20, 30, 30, 0, 30, 15, 0, 15, 4, 0, 30, 20, 0, 0, 3, 
## 30, 9, 10, 0, 0, 0, 30, 2, 15, 4, 5, 0, 5, 0, 0, 30, 0, 30, 0, 
## 30, 15, 0, 0, 0, 0, 0, 2, 0, 0, 30, 2, 0, 1, 1, 0, 0, 0, 0, 0, 
## 0, 15, 4, 30, 0, 0, 0, 30, 6, 0, 15, 0, 0, 0, 20, 3, 0, 30, 0, 
## 30, 30, 30, 0, 30, 30, 2, 2, 15, 0, 4, 0, 0, 0, 0, 0, 0, 0, 30, 
## 0, 10, 0, 30, 0, 0, 0, 0, 7, 13, 0, 0, 0, 3, 30, 30, 3, 0, 30, 
## 0, 0, 0, 30, 2, 0, 0, 30, 30, 30, 0, 0, 15, 10, 0, 30, 30, 0, 
## 30, 1, 1, 0, 0, 0, 30, 0, 0, 0, 29, 30, 0, 0, 0, 1, 2, 30, 30, 
## 0, 0, 0, 0, 1, 0, 13, 30, 0, 0, 28, 0, 0, 30, 0, 0, 30, 30, 0, 
## 5, 30, 8, 0, 28, 0, 0, 0, 30, 30, 0, 0, 0, 0, 30, 30, 0, 15, 
## 0, 0, 0, 0, 5, 0, 0, 0, 4, 0, 15, 0, 20, 0, 10, 0, 0, 20, 1, 
## 3, 20, 0, 30, 0, 0, 30, 0, 30, 0, 0, 0, 2, 5, 10, 0, 0, 0, 30, 
## 0, 0, 0, 0, 30, 1, 30, 4, 30, 0, 30, 15, 15, 0, 2, 1, 7, 1, 0, 
## 0, 30, 0, 0, 12, 3, 30, 2, 30, 8, 0, 0, 15, 3, 30, 3, 20, 0, 
## 0, 0, 0, 0, 2, 14, 3, 0, 3, 0, 0, 10, 30, 30, 30, 30, 0, 0, 0, 
## 0, 0, 10, 0, 2, 1, 0, 0, 0, 30, 30, 0, 15, 0, 8, 5, 0, 0, 1, 
## 12, 0, 0, 7, 2, 30, 3, 0, 15, 0, 4, 30, 0, 3, 0, 0, 10, 0, 30, 
## 30, 1, 30, 14, 0, 0, 20, 1, 30, 0, 0, 20, 30, 0, 30, 0, 2, 0, 
## 3, 10, 0, 15, 0, 2, 5, 0, 0, 2, 0, 30, 30, 0, 5, 5, 9, 5, 0, 
## 12, 10, 0, 5, 30, 0, 0, 0, 15, 0, 0, 0, 20, 0, 0, 5, 4, 0, 30, 
## 10, 30, 0, 0, 10, 7, 5, 0, 10, 0, 0, 30, 0, 0, 2, 1, 7, 30, 0, 
## 30, 30, 14, 2, 0, 30, 25, 10, 0, 19, 0, 15, 0, 0, 30, 2, 4, 0, 
## 10, 0, 30, 15, 15, 5, 30, 10, 1, 0, 0, 30, 0, 30, 20, 1, 30, 
## 2, 30, 0, 14, 20, 14, 30, 0, 30, 30, 0, 0, 1, 30, 0, 30, 6, 0, 
## 30, 30, 5, 20, 0, 0, 0, 12, 10, 0, 3, 27, 0, 4, 0, 0, 0, 0, 0, 
## 0, 5, 30, 0, 30, 0, 0, 10, 30, 4, 0, 30, 18, 2, 3, 0, 7, 0, 0, 
## 0, 30, 1, 2, 15, 0, 15, 3, 0, 15, 5, 3, 0, 10, 0, 0, 0, 0, 30, 
## 0, 20, 0, 30, 30, 1, 0, 0, 3, 1, 0, 0, 30, 0, 0, 5, 10, 0, 0, 
## 30, 1, 0, 30, 0, 0, 0, 1, 2, 30, 0, 30, 30, 20, 2, 0, 0, 14, 
## 15, 0, 0, 2, 30, 0, 30, 0, 14, 5, 0, 30, 0, 15, 0, 0, 0, 7, 0, 
## 0, 0, 0, 0, 10, 30, 0, 0, 30, 0, 5, 30, 0, 0, 30, 0, 12, 0, 30, 
## 30, 4, 10, 30, 30, 0, 0, 0, 25, 30, 0, 30, 1, 3, 0, 2, 30, 30, 
## 5, 0, 0, 30, 0, 2, 30, 0, 4, 0, 0, 0, 0, 30, 1, 30, 8, 15, 30, 
## 5, 3, 30, 0, 30, 20, 30, 2, 0, 3, 30, 30, 1, 30, 7, 14, 30, 0, 
## 15, 0, 2, 0, 0, 0, 4, 30, 0, 15, 0, 30, 0, 30, 30, 0, 1, 30, 
## 1, 30, 4, 0, 7, 0, 0, 15, 0, 0, 3, 30, 30, 0, 0, 0, 0, 0, 0, 
## 4, 6, 0, 15, 0, 7, 0, 4, 5, 10, 0, 0, 15, 0, 14, 0, 30, 30, 0, 
## 14, 3, 30, 28, 15, 10, 30, 0, 30, 0, 30, 30, 2, 2, 0, 0, 6, 1, 
## 15, 0, 10, 0, 4, 10, 0, 8, 2, 0, 0, 2, 1, 0, 0, 10, 6, 0, 10, 
## 4, 0, 30, 15, 4, 30, 24, 20, 30, 0, 0, 1, 7, 0, 1, 2, 5, 4, 0, 
## 0, 0, 10, 5, 14, 0, 0, 0, 20, 1, 30, 0, 10, 3, 20, 0, 0, 1, 0, 
## 0, 30, 0, 0, 5, 0, 0, 28, 30, 30, 0, 20, 0, 0, 0, 30, 3, 25, 
## 0, 15, 0, 4, 0, 0, 15, 0, 0, 8, 0, 30, 0, 0, 2, 0, 3, 1, 4, 30, 
## 3, 20, 30, 5, 2, 30, 4, 2, 0, 0, 30, 10, 30, 6, 0, 5, 3, 4, 30, 
## 1, 0, 0, 30, 0, 0, 0, 30, 25, 0, 30, 0, 0, 14, 0, 30, 0, 2, 30, 
## 0, 5, 30, 0, 10, 10, 10, 30, 0, 2, 0, 25, 0, 0, 2, 0, 15, 30, 
## 4, 5, 0, 30, 0, 0, 4, 5, 0, 30, 30, 0, 0, 30, 5, 2, 30, 30, 0, 
## 5, 4, 30, 0, 1, 0, 0, 0, 0, 30, 30, 0, 0, 3, 0, 0, 0, 5, 1, 5, 
## 0, 0, 1, 7, 0, 28, 0, 5, 0, 10, 0, 30, 25, 4, 10, 20, 1, 30, 
## 3, 0, 0, 29, 0, 30, 0, 30, 0, 0, 0, 5, 10, 3, 15, 5, 0, 0, 3, 
## 15, 0, 0, 30, 0, 8, 0, 30, 30, 0, 30, 10, 0, 0, 0, 0, 30, 6, 
## 4, 0, 20, 0, 0, 18, 0, 15, 0, 0, 0, 30, 0, 0, 0, 13, 30, 30, 
## 10, 30, 2, 0, 3, 3, 30, 25, 5, 20, 2, 20, 0, 15, 3, 30, 15, 3, 
## 0, 21, 0, 0, 3, 5, 0, 20, 2, 20, 0, 0, 0, 0, 30, 14, 0, 30, 10, 
## 0, 0, 0, 30, 0, 0, 0, 2, 0, 30, 0, 30, 30, 0, 30, 0, 0, 20, 2, 
## 5, 10, 0, 0, 0, 0, 0, 28, 5, 0, 0, 0, 0, 30, 5, 0, 30, 30, 30, 
## 0, 0, 4, 0, 0, 1, 14, 30, 15, 0, 0, 0, 0, 0, 15, 0, 30, 30, 20, 
## 0, 10, 0, 7, 0, 0, 0, 4, 10, 2, 0, 0, 0, 10, 0, 0, 25, 15, 0, 
## 0, 0, 15, 0, 0, 0, 1, 0, 0, 0, 8, 0, 0, 0, 0, 18, 30, 0, 0, 0, 
## 1, 14, 29, 30, 0, 0, 7, 0, 30, 2, 10, 15, 10, 0, 0, 4, 30, 0, 
## 0, 0, 20, 11, 0, 0, 0, 2, 3, 0, 0, 4, 30, 0, 0, 0, 5, 0, 0, 0, 
## 4, 7, 0, 30, 0, 0, 0, 0, 0, 0, 30, 20, 0, 0, 2, 0, 0, 30, 0, 
## 0, 5, 30, 0, 0, 0, 0, 2, 0, 0, 20, 0, 30, 0, 0, 3, 5, 0, 4, 5, 
## 13, 5, 0, 7, 30, 3, 10, 0, 0, 0, 20, 0, 0, 0, 7, 0, 5, 0, 0, 
## 1, 0, 0, 0, 30, 5, 20, 30, 20, 2, 5, 30, 0, 0, 0, 0, 30, 0, 0, 
## 30, 30, 10, 20, 30, 30, 1, 0, 10, 10, 0, 0, 30, 0, 1, 0, 0, 2, 
## 10, 0, 0, 0, 7, 0, 5, 30, 0, 0, 30, 30, 30, 30, 0, 0, 30, 4, 
## 0, 0, 30, 0, 30, 30, 28, 1, 3, 30, 0, 30, 25, 0, 0, 10, 0, 30, 
## 0, 14, 0, 30, 2, 30, 0, 30, 0, 14, 30, 30, 0, 0, 0, 7, 3, 15, 
## 2, 21, 0, 0, 0, 0, 15, 0, 4, 0, 3, 30, 0, 30, 10, 5, 0, 7, 5, 
## 0, 10, 4, 3, 0, 0, 3, 15, 30, 14, 0, 0, 5, 0, 1, 20, 30, 28, 
## 0, 0, 7, 20, 30, 0, 0, 18, 0, 9, 2, 0, 30, 0, 2, 0, 30, 30, 0, 
## 0, 0, 0, 30, 0, 0, 30, 0, 5, 0, 30, 7, 15, 2, 25, 0, 0, 2, 0, 
## 0, 0, 30, 3, 15, 15, 2, 0, 15, 30, 15, 0, 0, 30, 0, 0, 26, 0, 
## 0, 1, 0, 0, 0, 30, 0, 0, 14, 0, 0, 0, 0, 0, 30, 30, 7, 0, 0, 
## 30, 3, 15, 0, 30, 30, 0, 0, 30, 30, 0, 2, 0, 0, 0, 30, 28, 0, 
## 10, 1, 0, 0, 5, 7, 0, 22, 0, 0, 0, 0, 30, 0, 0, 0, 0, 30, 0, 
## 27, 0, 30, 0, 30, 6, 15, 0, 5, 2, 0, 30, 25, 2, 30, 2, 30, 0, 
## 0, 10, 0, 0, 10, 0, 0, 3, 0, 0, 7, 30, 0, 4, 0, 0, 7, 0, 30, 
## 0, 0, 0, 4, 30, 2, 15, 30, 30, 0, 0, 0, 30, 10, 15, 0, 0, 0, 
## 0, 0, 0, 0, 30, 5, 0, 2, 1, 0, 30, 30, 0, 30, 0, 12, 0, 30, 15, 
## 0, 15, 20, 8, 20, 0, 2, 14, 30, 0, 0, 20, 0, 5, 10, 10, 5, 0, 
## 28, 0, 0, 28, 10, 0, 30, 8, 30, 15, 30, 30, 30, 10, 30, 20, 15, 
## 0, 2, 0, 30, 0, 30, 0, 10, 0, 5, 7, 30, 1, 0, 5, 15, 30, 0, 7, 
## 0, 30, 7, 4, 30, 28, 7, 0, 2, 0, 4, 0, 25, 0, 2, 0, 4, 30, 3, 
## 0, 2, 15, 0, 7, 10, 0, 30, 0, 3, 0, 3, 2, 0, 0, 30, 0, 30, 0, 
## 14, 0, 0, 10, 30, 0, 4, 2, 8, 3, 15, 0, 0, 0, 3, 5, 5, 0, 0, 
## 0, 3, 0, 25, 0, 0, 30, 0, 10, 0, 30, 0, 6, 30, 0, 0, 7, 30, 15, 
## 5, 0, 15, 0, 15, 0, 30, 10, 0, 0, 10, 10, 20, 28, 30, 20, 0, 
## 3, 3, 11, 25, 1, 0, 30, 15, 8, 7, 0, 30, 30, 20, 5, 15, 0, 1, 
## 0, 0, 0, 28, 4, 15, 5, 0, 0, 0, 30, 0, 0, 0, 0, 4, 0, 0, 10, 
## 2, 30, 0, 0, 15, 0, 2, 0, 0, 5, 10, 0, 10, 30, 0, 0, 30, 0, 0, 
## 1, 5, 0, 5, 1, 0, 2, 30, 15, 15, 0, 0, 2, 12, 0, 0, 0, 0, 0, 
## 4, 3, 2, 0, 0, 2, 0, 5, 29, 0, 2, 0, 7, 0, 0, 0, 5, 0, 0, 0, 
## 25, 7, 10, 5, 30, 30, 0, 0, 30, 2, 7, 0, 30, 30, 0, 5, 30, 0, 
## 10, 30, 30, 0, 30, 0, 30, 25, 30, 0, 20, 15, 15, 0, 30, 30, 5, 
## 4, 0, 7, 30, 2, 30, 0, 15, 30, 0, 0, 0, 0, 1, 0, 0, 15, 0, 5, 
## 30, 30, 0, 0, 10, 7, 5, 10, 0, 0, 15, 3, 2, 15, 2, 20, 30, 0, 
## 30, 3, 2, 0, 5, 30, 0, 0, 17, 0, 0, 16, 1, 0, 0, 0, 0, 3, 0, 
## 0, 2, 0, 0, 0, 28, 30, 4, 0, 0, 15, 5, 10, 0, 0, 25, 0, 20, 30, 
## 0, 15, 0, 0, 2, 0, 0, 30, 0, 0, 0, 2, 0, 3, 0, 0, 0, 3, 3, 0, 
## 0, 6, 10, 0, 0, 0, 0, 0, 0, 10, 2, 20, 10, 30, 5, 30, 1, 4, 20, 
## 5, 1, 0, 5, 12, 15, 0, 30, 30, 0, 30, 5, 20, 0, 0, 0, 0, 0, 5, 
## 0, 5, 0, 30, 10, 0, 2, 4, 10, 7, 0, 0, 1, 23, 30, 0, 30, 5, 0, 
## 0, 1, 30, 15, 0, 30, 0, 0, 30, 10, 15, 15, 7, 0, 30, 0, 7, 0, 
## 30, 30, 0, 0, 0, 30, 0, 0, 7, 0, 0, 0, 0, 10, 0, 10, 0, 0, 0, 
## 0, 4, 0, 0, 0, 15, 3, 0, 30, 0, 0, 0, 30, 3, 10, 28, 14, 0, 0, 
## 3, 30, 15, 15, 30, 30, 30, 14, 0, 0, 0, 1, 0, 30, 5, 0, 0, 30, 
## 20, 30, 0, 0, 0, 0, 0, 4, 0, 5, 2, 0, 2, 4, 0, 3, 30, 0, 5, 0, 
## 0, 0, 15, 2, 30, 3, 30, 0, 0, 0, 30, 30, 30, 0, 0, 10, 30, 30, 
## 10, 0, 30, 30, 2, 0, 30, 0, 0, 2, 0, 30, 0, 28, 2, 0, 0, 0, 21, 
## 2, 30, 0, 0, 30, 15, 30, 2, 0, 14, 5, 30, 3, 14, 0, 0, 0, 30, 
## 1, 3, 0, 0, 0, 30, 0, 30, 10, 30, 7, 28, 28, 10, 3, 7, 0, 3, 
## 0, 4, 7, 0, 16, 0, 0, 30, 30, 30, 0, 5, 0, 0, 0, 0, 7, 2, 0, 
## 0, 0, 0, 0, 0, 0, 30, 0, 14, 15, 0, 20, 0, 2, 0, 2, 30, 0, 25, 
## 5, 0, 7, 30, 30, 5, 1, 2, 0, 10, 30, 0, 0, 0, 30, 0, 0, 0, 0, 
## 0, 0, 30, 0, 0, 7, 20, 20, 0, 0, 0, 2, 0, 3, 0, 0, 0, 30, 7, 
## 0, 10, 0, 0, 5, 0, 14, 0, 0, 0, 14, 1, 0, 30, 0, 1, 6, 15, 0, 
## 0, 0, 1, 6, 30, 0, 20, 1, 0, 0, 0, 0, 0, 0, 30, 0, 0, 3, 0, 30, 
## 2, 30, 30, 30, 0, 0, 0, 10, 5, 6, 7, 0, 30, 10, 0, 0, 30, 30, 
## 5, 30, 30, 3, 5, 30, 0, 0, 30, 0, 30, 10, 30, 3, 0, 30, 3, 0, 
## 3, 0, 5, 20, 0, 0, 0, 15, 0, 10, 0, 0, 15, 0, 0, 0, 30, 0, 0, 
## 9, 2, 29, 5, 30, 0, 30, 20, 15, 0, 1, 30, 0, 0, 7, 4, 0, 15, 
## 0, 19, 0, 0, 6, 0, 20, 0, 5, 0, 0, 10, 30, 7, 0, 30, 0, 2, 0, 
## 2, 10, 14, 3, 30, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 30, 10, 5, 0, 
## 15, 0, 0, 0, 3, 20, 10, 30, 30, 10, 2, 30, 30, 0, 0, 30, 0, 30, 
## 0, 7, 14, 20, 0, 0, 0, 0, 0, 15, 30, 30, 0, 0, 30, 4, 0, 2, 0, 
## 7, 0, 15, 3, 0, 0, 0, 30, 30, 0, 0, 10, 30, 30, 0, 0, 3, 2, 2, 
## 30, 0, 4, 0, 18, 0, 0, 0, 3, 0, 30, 29, 20, 2, 3, 5, 0, 0, 0, 
## 30, 15, 3, 0, 10, 0, 0, 30, 0, 30, 0, 30, 0, 30, 2, 30, 3, 30, 
## 0, 0, 0, 0, 20, 2, 0, 30, 0, 20, 0, 0, 0, 15, 5, 0, 0, 5, 30, 
## 0, 2, 10, 7, 3, 10, 0, 30, 0, 0, 1, 3, 30, 20, 15, 30, 18, 0, 
## 15, 4, 2, 2, 0, 30, 0, 0, 0, 0, 8, 10, 3, 0, 2, 30, 30, 0, 0, 
## 0, 0, 30, 0, 15, 30, 0, 15, 1, 0, 0, 16, 15, 0, 11, 3, 2, 0, 
## 0, 30, 0, 4, 0, 18, 0, 0, 0, 30, 0, 30, 30, 0, 30, 30, 0, 5, 
## 20, 2, 0, 30, 10, 30, 30, 0, 30, 4, 15, 20, 0, 3, 5, 30, 4, 0, 
## 0, 7, 30, 0, 0, 30, 1, 1, 0, 3, 30, 0, 2, 30, 3, 2, 30, 0, 0, 
## 0, 3, 1, 30, 30, 30, 10, 30, 0, 30, 0, 0, 25, 10, 0, 30, 30, 
## 30, 5, 5, 30, 0, 30, 0, 0, 30, 4, 14, 0, 10, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 7, 30, 5, 0, 0, 0, 1, 0, 0, 0, 7, 15, 0, 15, 30, 0, 
## 0, 0, 0, 20, 7, 3, 0, 15, 30, 0, 30, 10, 0, 25, 0, 30, 5, 7, 
## 30, 30, 3, 0, 5, 30, 4, 30, 30, 7, 10, 3, 20, 2, 20, 15, 14, 
## 1, 30, 30, 0, 0, 0, 30, 0, 30, 0, 15, 0, 0, 3, 3, 0, 0, 6, 0, 
## 0, 4, 25, 0, 30, 14, 25, 30, 20, 3, 0, 0, 0, 0, 15, 0, 10, 0, 
## 30, 0, 30, 30, 0, 30, 20, 30, 5, 30, 0, 0, 2, 2, 15, 15, 27, 
## 0, 0, 8, 0, 0, 0, 5, 0, 0, 10, 2, 4, 0, 0, 30, 30, 10, 0, 30, 
## 5, 0, 30, 30, 0, 30, 30, 0, 20, 0, 15, 20, 0, 0, 0, 30, 0, 0, 
## 0, 0, 0, 10, 7, 30, 0, 20, 30, 2, 1, 6, 2, 0, 14, 0, 30, 0, 20, 
## 0, 0, 20, 4, 30, 10, 30, 0, 1, 5, 0, 4, 10, 0, 2, 0, 0, 30, 0, 
## 0, 10, 15, 2, 10, 3, 0, 5, 15, 5, 30, 0, 25, 15, 5, 0, 15, 0, 
## 2, 0, 0, 0, 0, 2, 0, 20, 0, 0, 0, 30, 0, 6, 10, 30, 0, 7, 0, 
## 5, 0, 4, 15, 0, 15, 3, 20, 0, 15, 30, 16, 5, 30, 5, 12, 30, 7, 
## 30, 30, 5, 5, 22, 0, 30, 5, 0, 4, 28, 7, 0, 30, 0, 10, 0, 5, 
## 30, 0, 0, 0, 0, 0, 0, 30, 30, 30, 0, 2, 30, 0, 17, 0, 1, 4, 0, 
## 0, 0, 30, 30, 0, 5, 0, 0, 5, 0, 3, 0, 0, 0, 3, 2, 0, 0, 14, 0, 
## 28, 15, 0, 0, 10, 30, 30, 0, 0, 0, 0, 20, 0, 0, 0, 0, 30, 30, 
## 3, 0, 30, 30, 14, 0, 0, 0, 0, 1, 0, 9, 21, 30, 30, 30, 30, 10, 
## 2, 0, 10, 10, 0, 8, 20, 0, 11, 6, 0, 25, 0, 0, 14, 30, 10, 30, 
## 20, 30, 1, 0, 0, 0, 0, 30, 0, 0, 0, 17, 4, 2, 4, 0, 0, 0, 0, 
## 10, 5, 0, 0, 0, 30, 0, 5, 0, 0, 0, 3, 0, 3, 0, 0, 2, 30, 5, 0, 
## 30, 0, 1, 0, 15, 30, 30, 30, 30, 0, 0, 0, 1, 30, 0, 0, 0, 25, 
## 30, 14, 1, 10, 5, 20, 0, 0, 5, 6, 3, 25, 0, 0, 1, 7, 0, 0, 20, 
## 0, 0, 0, 15, 4, 30, 0, 2, 0, 15, 30, 0, 0, 0, 0, 15, 30, 30, 
## 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 30, 0, 15, 0, 0, 0, 2, 30, 30, 
## 30, 0, 28, 14, 5, 5, 3, 0, 20, 30, 0, 30, 1, 30, 21, 30, 4, 0, 
## 0, 0, 8, 30, 7, 2, 30, 14, 0, 5, 2, 0, 0, 29, 0, 0, 30, 14, 0, 
## 30, 30, 1, 0, 0, 2, 0, 5, 14, 0, 0, 12, 30, 0, 1, 2, 0, 0, 0, 
## 0, 0, 0, 2, 15, 0, 0, 2, 0, 10, 2, 0, 0, 21, 25, 14, 1, 30, 30, 
## 30, 0, 0, 0, 0, 30, 15, 30, 0, 0, 0, 0, 10, 5, 0, 0, 0, 15, 0, 
## 2, 5, 7, 0, 0, 0, 0, 7, 0, 0, 0, 30, 0, 0, 0, 0, 4, 0, 2, 6, 
## 30, 14, 0, 8, 0, 0, 2, 0, 10, 30, 10, 30, 25, 30, 30, 30, 0, 
## 6, 2, 0, 20, 0, 0, 7, 0, 0, 0, 0, 0, 14, 0, 4, 30, 4, 0, 5, 30, 
## 2, 30, 30, 30, 0, 7, 30, 15, 0, 15, 0, 25, 5, 0, 0, 30, 10, 0, 
## 30, 0, 30, 0, 0, 2, 0, 0, 0, 3, 0, 0, 3, 0, 0, 10, 30, 30, 0, 
## 0, 21, 5, 0, 0, 30, 30, 0, 30, 3, 15, 30, 0, 0, 4, 0, 30, 0, 
## 3, 5, 7, 0, 10, 0, 0, 0, 1, 0, 28, 30, 0, 0, 2, 5, 30, 30, 0, 
## 30, 0, 0, 15, 0, 30, 0, 2, 2, 0, 0, 20, 0, 0, 2, 0, 0, 0, 30, 
## 0, 0, 15, 2, 30, 4, 7, 20, 30, 15, 2, 0, 0, 2, 5, 0, 10, 30, 
## 30, 0, 0, 7, 7, 30, 14, 1, 10, 0, 2, 0, 0, 0, 0, 0, 0, 30, 0, 
## 30, 30, 30, 1, 2, 5, 0, 5, 0, 0, 0, 0, 14, 0, 0, 0, 20, 7, 0, 
## 0, 0, 15, 30, 30, 0, 0, 0, 2, 0, 30, 0, 15, 0, 5, 0, 0, 0, 30, 
## 4, 15, 0, 30, 0, 15, 0, 0, 15, 0, 0, 0, 0, 0, 0, 10, 21, 30, 
## 6, 0, 0, 2, 15, 0, 4, 0, 0, 30, 30, 3, 2, 2, 20, 0, 0, 0, 30, 
## 0, 0, 1, 0, 1, 5, 0, 0, 7, 0, 30, 0, 20, 30, 30, 0, 0, 10, 0, 
## 0, 0, 0, 15, 1, 0, 0, 0, 0, 0, 30, 1, 0, 30, 0, 0, 10, 8, 0, 
## 0, 30, 30, 30, 0, 30, 0, 30, 7, 0, 0, 7, 5, 0, 30, 30, 3, 0, 
## 0, 1, 0, 0, 0, 14, 0, 0, 0, 8, 0, 30, 0, 0, 30, 1, 0, 1, 30, 
## 14, 0, 4, 0, 30, 2, 0, 30, 5, 5, 0, 10, 8, 30, 25, 30, 30, 30, 
## 0, 3, 0, 0, 30, 30, 30, 14, 30, 0, 30, 5, 0, 7, 0, 0, 0, 30, 
## 0, 30, 0, 1, 30, 0, 14, 0, 0, 3, 0, 20, 0, 0, 30, 20, 7, 1, 0, 
## 0, 2, 5, 28, 2, 30, 0, 24, 0, 0, 7, 0, 0, 30, 30, 1, 30, 0, 0, 
## 0, 30, 0, 0, 14, 10, 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 10, 10, 
## 14, 0, 30, 0, 7, 20, 0, 15, 30, 0, 0, 3, 0, 10, 30, 30, 0, 0, 
## 0, 3, 0, 0, 30, 0, 0, 0, 30, 30, 0, 15, 11, 0, 0, 14, 30, 30, 
## 0, 30, 30, 0, 0, 30, 30, 0, 30, 0, 2, 0, 30, 0, 30, 0, 2, 9, 
## 0, 15, 0, 0, 15, 0, 10, 5, 5, 0, 0, 5, 14, 10, 0, 30, 25, 30, 
## 30, 30, 0, 0, 30, 0, 0, 30, 2, 30, 30, 30, 2, 15, 0, 0, 0, 6, 
## 4, 0, 30, 0, 14, 0, 20, 5, 0, 4, 0, 0, 0, 10, 20, 0, 10, 3, 20, 
## 2, 15, 0, 0, 15, 6, 21, 0, 0, 0, 0, 3, 0, 14, 30, 3, 0, 0, 24, 
## 30, 2, 0, 2, 30, 30, 0, 0, 30, 8, 0, 2, 0, 0, 5, 0, 5, 6, 0, 
## 3, 30, 0, 15, 0, 5, 30, 30, 30, 3, 0, 0, 30, 0, 30, 3, 5, 0, 
## 0, 5, 0, 5, 10, 0, 3, 30, 5, 0, 3, 0, 10, 30, 0, 0, 3, 14, 3, 
## 0, 30, 30, 3, 0, 0, 3, 0, 5, 0, 0, 0, 4, 0, 30, 10, 5, 0, 0, 
## 20, 0, 5, 0, 30, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 15, 0, 30, 
## 3, 0, 15, 30, 0, 2, 7, 0, 4, 30, 30, 0, 0, 30, 30, 1, 0, 30, 
## 15, 20, 15, 8, 30, 15, 10, 0, 10, 30, 0, 0, 0, 0, 10, 30, 0, 
## 15, 21, 2, 0, 30, 0, 2, 3, 0, 0, 10, 0, 30, 0, 30, 0, 20, 30, 
## 1, 20, 30, 30, 14, 15, 30, 30, 0, 30, 0, 0, 30, 0, 30, 0, 0, 
## 0, 0, 20, 30, 15, 0, 0, 1, 30, 1, 10, 0, 0, 1, 0, 10, 0, 30, 
## 30, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 30, 2, 4, 0, 0, 2, 30, 3, 0, 
## 30, 3, 8, 5, 0, 0, 6, 2, 0, 0, 0, 0, 15, 0, 30, 30, 0, 0, 4, 
## 2, 30, 3, 2, 0, 0, 30, 30, 0, 15, 30, 10, 0, 7, 0, 0, 30, 0, 
## 2, 3, 30, 0, 1, 0, 20, 25, 3, 0, 0, 2, 0, 0, 0, 15, 4, 30, 0, 
## 0, 30, 5, 0, 0, 30, 30, 30, 2, 7, 0, 30, 15, 10, 0, 30, 20, 0, 
## 3, 30, 0, 7, 2, 15, 2, 3, 1, 30, 0, 15, 5, 0, 30, 20, 15, 0, 
## 30, 2, 2, 0, 0, 0, 0, 0, 0, 0, 30, 2, 30, 4, 0, 0, 0, 0, 22, 
## 0, 30, 10, 30, 8, 14, 0, 30, 0, 0, 5, 3, 30, 0, 0, 0, 0, 0, 7, 
## 1, 2, 15, 0, 4, 1, 0, 0, 2, 25, 30, 7, 0, 30, 5, 2, 0, 15, 0, 
## 0, 0, 20, 1, 20, 0, 10, 0, 0, 1, 2, 30, 2, 0, 0, 0, 6, 1, 0, 
## 0, 0, 0, 0, 30, 3, 30, 0, 0, 0, 2, 0, 30, 7, 0, 0, 3, 16, 0, 
## 0, 0, 0, 7, 3, 0, 30, 30, 0, 0, 0, 15, 12, 30, 0, 20, 21, 0, 
## 2, 30, 14, 1, 4, 3, 30, 0, 0, 0, 20, 30, 0, 0, 0, 5, 30, 0, 0, 
## 2, 0, 0, 30, 30, 0, 15, 30, 0, 30, 30, 3, 20, 0, 0, 2, 30, 15, 
## 3, 25, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 2, 3, 0, 15, 0, 0, 5, 30, 
## 4, 30, 14, 0, 30, 0, 20, 1, 0, 30, 3, 0, 0, 0, 0, 0, 30, 0, 10, 
## 30, 30, 30, 30, 30, 25, 10, 0, 7, 30, 30, 5, 0, 15, 0, 10, 30, 
## 30, 5, 10, 0, 0, 0, 1, 28, 15, 0, 15, 10, 0, 0, 0, 0, 0, 30, 
## 30, 20, 30, 7, 0, 6, 3, 30, 0, 15, 1, 0, 0, 2, 0, 30, 20, 30, 
## 3, 0, 7, 10, 2, 0, 10, 30, 15, 0, 0, 5, 30, 7, 30, 0, 30, 30, 
## 0, 0, 0, 0, 0, 0, 5, 30, 0, 5, 30, 0, 0, 15, 30, 0, 30, 0, 30, 
## 15, 0, 0, 2, 15, 7, 0, 0, 30, 7, 0, 0, 30, 0, 0, 30, 5, 0, 10, 
## 0, 0, 2, 0, 0, 30, 3, 0, 0, 14, 0, 15, 30, 20, 5, 0, 0, 1, 0, 
## 2, 1, 0, 7, 0, 7, 0, 30, 0, 0, 4, 0, 0, 28, 0, 3, 7, 30, 30, 
## 14, 10, 0, 0, 0, 20, 0, 10, 3, 0, 30, 0, 10, 20, 0, 3, 3, 0, 
## 10, 30, 20, 0, 0, 5, 30, 30, 0, 0, 0, 0, 19, 2, 30, 0, 0, 7, 
## 30, 0, 0, 0, 0, 0, 0, 0, 3, 28, 30, 1, 30, 0, 0, 2, 30, 30, 0, 
## 30, 0, 30, 2, 1, 0, 0, 30, 0, 0, 0, 10, 30, 30, 15, 0, 4, 10, 
## 0, 0, 30, 30, 30, 30, 0, 0, 0, 30, 5, 30, 0, 0, 30, 0, 30, 0, 
## 0, 0, 0, 0, 0, 30, 0, 0, 15, 0, 3, 30, 0, 14, 3, 0, 30, 0, 0, 
## 10, 2, 7, 15, 30, 30, 0, 15, 0, 5, 4, 14, 4, 15, 0, 0, 0, 0, 
## 0, 0, 30, 0, 0, 0, 0, 0, 4, 0, 10, 0, 5, 30, 10, 30, 7, 0, 30, 
## 0, 0, 30, 0, 2, 3, 0, 7, 0, 5, 15, 0, 1, 0, 0, 25, 30, 3, 25, 
## 0, 30, 30, 20, 0, 18, 0, 0, 0, 10, 0, 0, 30, 3, 0, 0, 10, 0, 
## 15, 0, 0, 30, 5, 10, 30, 14, 2, 10, 2, 0, 6, 0, 20, 0, 0, 10, 
## 0, 2, 30, 5, 14, 0, 0, 2, 0, 2, 0, 0, 20, 3, 10, 30, 1, 0, 15, 
## 30, 25, 1, 3, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 15, 0, 20, 5, 20, 
## 0, 1, 0, 1, 10, 0, 0, 0, 0, 4, 0, 3, 0, 28, 0, 0, 0, 0, 20, 30, 
## 0, 30, 20, 30, 0, 1, 4, 4, 0, 0, 13, 0, 2, 2, 10, 30, 8, 5, 15, 
## 2, 0, 15, 30, 20, 0, 0, 2, 14, 7, 10, 0, 0, 3, 30, 0, 3, 0, 0, 
## 0, 3, 7, 30, 30, 0, 24, 0, 0, 30, 0, 6, 0, 0, 0, 30, 0, 30, 0, 
## 0, 4, 30, 30, 0, 14, 0, 0, 15, 3, 0, 0, 2, 10, 0, 5, 0, 30, 0, 
## 0, 0, 0, 0, 30, 0, 5, 0, 30, 0, 2, 0, 0, 0, 0, 3, 0, 1, 0, 15, 
## 0, 1, 5, 0, 0, 0, 0, 0, 0, 30, 0, 5, 28, 30, 0, 30, 0, 10, 0, 
## 30, 7, 0, 1, 0, 25, 0, 10, 1, 0, 30, 0, 5, 2, 4, 0, 30, 3, 0, 
## 5, 30, 4, 0, 20, 15, 0, 2, 30, 10, 30, 0, 0, 30, 0, 15, 0, 7, 
## 30, 0, 0, 4, 0, 6, 0, 30, 21, 0, 15, 1, 5, 30, 0, 5, 0, 0, 25, 
## 0, 0, 0, 0, 30, 0, 0, 5, 7, 0, 30, 0, 0, 0, 0, 20, 30, 30, 30, 
## 30, 0, 20, 1, 0, 0, 0, 30, 30, 30, 25, 30, 15, 0, 0, 6, 0, 10, 
## 0, 30, 0, 15, 0, 0, 3, 0, 0, 3, 0, 0, 30, 0, 28, 5, 14, 0, 5, 
## 30, 0, 0, 25, 0, 0, 10, 0, 0, 5, 3, 0, 30, 0, 30, 30, 10, 30, 
## 0, 4, 0, 15, 0, 30, 6, 0, 30, 0, 0, 0, 0, 0, 30, 3, 0, 0, 0, 
## 0, 0, 15, 20, 0, 30, 30, 0, 28, 0, 0, 0, 5, 0, 4, 1, 0, 4, 5, 
## 0, 0, 30, 0, 30, 0, 0, 0, 2, 30, 3, 30, 25, 0, 16, 30, 5, 30, 
## 5, 0, 0, 0, 4, 0, 8, 30, 0, 0, 25, 28, 5, 20, 30, 0, 30, 25, 
## 0, 0, 0, 1, 1, 0, 0, 10, 0, 14, 0, 0, 0, 10, 10, 0, 3, 0, 25, 
## 0, 3, 20, 3, 30, 3, 30, 0, 0, 0, 5, 7, 0, 0, 5, 0, 30, 3, 0, 
## 30, 5, 0, 0, 3, 14, 0, 15, 0, 0, 0, 0, 2, 15, 0, 3, 30, 15, 2, 
## 0, 25, 0, 0, 0, 7, 0, 0, 0, 16, 0, 30, 0, 30, 30, 0, 30, 0, 0, 
## 3, 3, 0, 30, 30, 20, 7, 0, 5, 20, 20, 0, 0, 4, 5, 0, 5, 0, 15, 
## 0, 30, 30, 3, 3, 0, 5, 0, 0, 10, 3, 0, 1, 0, 25, 30, 0, 0, 0, 
## 0, 0, 25, 0, 10, 0, 0, 30, 0, 0, 2, 0, 30, 0, 14, 0, 0, 0, 4, 
## 2, 0, 0, 7, 5, 0, 0, 4, 30, 30, 0, 0, 12, 17, 0, 0, 0, 0, 10, 
## 2, 29, 2, 10, 30, 30, 0, 0, 0, 0, 0, 30, 30, 20, 2, 15, 2, 10, 
## 20, 0, 10, 30, 15, 25, 0, 0, 15, 30, 30, 15, 21, 7, 30, 30, 10, 
## 30, 15, 25, 4, 0, 30, 6, 2, 6, 0, 3, 0, 0, 0, 9, 0, 0, 0, 5, 
## 30, 3, 4, 0, 0, 15, 0, 30, 0, 0, 0, 1, 2, 1, 0, 0, 0, 30, 0, 
## 0, 30, 29, 0, 0, 0, 0, 0, 0, 0, 5, 30, 10, 5, 1, 21, 0, 30, 0, 
## 0, 0, 30, 0, 0, 0, 30, 0, 0, 3, 30, 20, 30, 30, 0, 2, 20, 0, 
## 10, 3, 0, 0, 30, 30, 3, 5, 14, 2, 0, 30, 0, 1, 2, 0, 0, 0, 30, 
## 30, 2, 3, 25, 0, 20, 0, 25, 30, 10, 0, 0, 0, 7, 0, 0, 15, 0, 
## 30, 0, 6, 20, 0, 0, 30, 30, 0, 0, 2, 0, 0, 14, 30, 30, 0, 0, 
## 0, 0, 0, 4, 0, 0, 30, 0, 0, 5, 7, 0, 4, 17, 0, 10, 30, 30, 0, 
## 2, 0, 30, 0, 2, 0, 0, 0, 0, 5, 10, 0, 0, 2, 30, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 2, 30, 30, 0, 0, 30, 
## 30, 5, 30, 4, 30, 10, 0, 0, 0, 30, 10, 30, 0, 30, 0, 7, 0, 2, 
## 7, 15, 0, 0, 5, 0, 0, 0, 30, 7, 0, 0, 30, 30, 30, 0, 30, 0, 15, 
## 14, 0, 0, 0, 0, 0, 5, 15, 0, 2, 0, 0, 5, 8, 30, 15, 12, 0, 0, 
## 30, 0, 30, 14, 0, 0, 5, 1, 5, 30, 30, 30, 30, 3, 0, 0, 0, 0, 
## 0, 0, 0, 4, 0, 7, 0, 15, 0, 30, 10, 0, 7, 0, 0, 2, 0, 29, 0, 
## 20, 0, 0, 0, 0, 25, 1, 30, 0, 0, 30, 0, 1, 30, 30, 0, 0, 3, 15, 
## 30, 3, 0, 0, 30, 0, 30, 0, 14, 30, 10, 2, 0, 0, 0, 25, 5, 0, 
## 0, 10, 0, 10, 30, 14, 0, 0, 0, 0, 0, 2, 0, 30, 20, 0, 1, 0, 7, 
## 30, 30, 15, 10, 0, 2, 30, 4, 0, 0, 30, 30, 15, 0, 0, 23, 25, 
## 0, 0, 1, 0, 10, 0, 0, 30, 28, 0, 0, 5, 0, 0, 0, 30, 7, 5, 30, 
## 0, 2, 30, 0, 0, 30, 30, 30, 30, 0, 7, 0, 10, 12, 2, 0, 4, 20, 
## 4, 30, 20, 0, 30, 10, 0, 3, 0, 15, 0, 0, 1, 0, 2, 3, 30, 0, 0, 
## 0, 0, 0, 0, 0, 8, 2, 30, 0, 2, 3, 1, 0, 30, 0, 0, 0, 0, 2, 0, 
## 10, 30, 0, 30, 3, 0, 0, 2, 30, 0, 0, 0, 0, 0, 4, 21, 0, 0, 10, 
## 15, 0, 30, 30, 0, 0, 21, 0, 1, 0, 4, 1, 6, 28, 0, 1, 10, 0, 0, 
## 30, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 30, 30, 0, 3, 0, 4, 0, 
## 3, 3, 8, 30, 0, 0, 2, 4, 20, 0, 0, 0, 3, 2, 2, 0, 1, 26, 30, 
## 5, 0, 30, 0, 0, 6, 5, 0, 30, 30, 0, 30, 2, 1, 0, 1, 0, 30, 0, 
## 0, 0, 0, 15, 0, 0, 0, 0, 1, 0, 0, 15, 25, 2, 14, 30, 4, 12, 3, 
## 0, 2, 30, 2, 25, 0, 0, 12, 0, 1, 30, 29, 0, 30, 0, 1, 2, 0, 10, 
## 30, 30, 10, 0, 0, 30, 0, 30, 30, 0, 0, 10, 10, 0, 4, 20, 0, 30, 
## 5, 0, 0, 7, 0, 0, 30, 30, 29, 0, 0, 0, 30, 0, 0, 30, 30, 0, 0, 
## 0, 30, 0, 0, 3, 0, 0, 0, 15, 3, 0, 4, 0, 0, 30, 7, 0, 30, 4, 
## 14, 2, 0, 3, 0, 0, 3, 0, 15, 2, 0, 3, 30, 15, 30, 0, 0, 0, 12, 
## 30, 30, 30, 0, 0, 0, 0, 0, 0, 5, 28, 30, 30, 0, 0, 5, 5, 0, 0, 
## 0, 0, 5, 2, 3, 2, 0, 0, 0, 1, 0, 20, 7, 14, 0, 0, 15, 30, 0, 
## 30, 0, 0, 30, 0, 30, 2, 4, 0, 21, 30, 0, 0, 30, 0, 30, 0, 0, 
## 0, 2, 3, 0, 0, 7, 2, 7, 3, 30, 30, 0, 3, 0, 0, 15, 0, 0, 30, 
## 0, 14, 0, 2, 0, 14, 2, 30, 28, 5, 0, 30, 7, 0, 7, 5, 0, 30, 2, 
## 0, 0, 0, 0, 10, 3, 0, 0, 0, 24, 30, 0, 14, 30, 15, 30, 0, 0, 
## 0, 0, 0, 30, 0, 0, 12, 0, 15, 0, 0, 30, 30, 2, 0, 15, 0, 11, 
## 2, 0, 30, 0, 0, 0, 2, 0, 0, 0, 30, 7, 10, 0, 12, 30, 4, 0, 0, 
## 10, 5, 0, 7, 0, 0, 3, 30, 15, 15, 3, 30, 30, 0, 0, 0, 10, 20, 
## 0, 30, 10, 6, 20, 3, 0, 0, 30, 0, 30, 0, 0, 0, 0, 2, 30, 10, 
## 0, 20, 0, 0, 30, 30, 30, 0, 0, 0, 0, 0, 12, 0, 0, 0, 30, 1, 2, 
## 0, 3, 5, 10, 10, 10, 0, 1, 2, 26, 0, 3, 0, 4, 4, 0, 3, 0, 20, 
## 0, 30, 10, 0, 0, 0, 2, 1, 8, 30, 7, 30, 14, 21, 21, 30, 0, 0, 
## 5, 25, 3, 30, 7, 0, 0, 30, 2, 30, 0, 0, 20, 8, 30, 0, 12, 6, 
## 30, 3, 3, 0, 0, 15, 0, 2, 0, 0, 0, 15, 0, 15, 0, 0, 7, 0, 0, 
## 0, 0, 0, 10, 0, 15, 0, 7, 0, 0, 0, 0, 0, 4, 20, 0, 0, 10, 5, 
## 4, 0, 0, 0, 7, 0, 2, 14, 4, 0, 30, 0, 3, 0, 0, 0, 15, 0, 15, 
## 30, 29, 30, 0, 5, 0, 30, 0, 1, 0, 0, 0, 0, 30, 1, 0, 0, 30, 4, 
## 0, 15, 3, 4, 0, 3, 0, 30, 2, 0, 0, 4, 21, 30, 0, 0, 0, 10, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 15, 0, 30, 0, 30, 30, 0, 30, 20, 
## 0, 10, 30, 10, 14, 0, 2, 7, 0, 0, 0, 0, 0, 28, 15, 0, 0, 0, 15, 
## 7, 15, 30, 0, 0, 0, 5, 0, 0, 0, 5, 8, 5, 3, 7, 25, 0, 7, 21, 
## 30, 0, 5, 15, 8, 0, 20, 30, 0, 0, 0, 0, 0, 1, 0, 0, 10, 4, 2, 
## 0, 0, 0, 16, 10, 30, 0, 0, 0, 3, 15, 0, 7, 0, 30, 18, 2, 0, 0, 
## 1, 0, 1, 10, 30, 2, 0, 3, 0, 30, 7, 2, 0, 30, 5, 0, 30, 0, 0, 
## 0, 10, 5, 0, 30, 20, 30, 0, 0, 0, 30, 15, 0, 0, 0, 0, 15, 7, 
## 3, 10, 7, 0, 0, 30, 15, 0, 25, 15, 0, 15, 0, 0, 0, 0, 0, 30, 
## 10, 3, 0, 0, 30, 8, 0, 0, 14, 4, 30, 3, 20, 30, 23, 0, 30, 0, 
## 0, 0, 30, 0, 30, 3, 0, 30, 0, 0, 30, 0, 10, 0, 0, 5, 0, 0, 15, 
## 0, 0, 7, 0, 0, 0, 14, 30, 0, 20, 2, 0, 0, 30, 0, 0, 5, 0, 0, 
## 0, 0, 30, 2, 0, 0, 15, 30, 10, 30, 1, 0, 0, 0, 0, 0, 0, 30, 0, 
## 0, 0, 0, 5, 30, 5, 3, 3, 0, 3, 20, 0, 10, 30, 3, 0, 30, 30, 0, 
## 0, 10, 30, 30, 30, 4, 30, 0), c(4, 10, 0, 0, 0, 0, 6, 0, 0, 0, 
## 10, 1, 0, 20, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 2, 0, 10, 3, 0, 0, 0, 0, 1, 15, 0, 0, 3, 0, 0, 0, 7, 0, 2, 
## 0, 0, 0, 7, 10, 0, 0, 2, 3, 0, 1, 0, 10, 0, 15, 2, 28, 0, 20, 
## 0, 4, 0, 15, 0, 0, 0, 30, 3, 0, 5, 0, 30, 0, 1, 10, 0, 0, 0, 
## 0, 0, 0, 0, 1, 1, 0, 30, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 12, 0, 28, 0, 10, 5, 25, 4, 
## 0, 10, 0, 10, 2, 0, 0, 0, 0, 0, 30, 0, 15, 0, 0, 2, 20, 0, 3, 
## 0, 0, 30, 0, 4, 0, 0, 29, 3, 0, 0, 0, 3, 0, 20, 0, 0, 0, 0, 0, 
## 0, 10, 3, 0, 0, 1, 10, 0, 5, 0, 0, 0, 0, 0, 17, 0, 5, 20, 0, 
## 2, 0, 0, 15, 0, 0, 0, 0, 0, 1, 2, 0, 14, 0, 0, 0, 0, 0, 5, 0, 
## 0, 0, 2, 5, 10, 0, 0, 0, 0, 2, 10, 0, 0, 5, 0, 10, 0, 0, 0, 2, 
## 4, 3, 0, 2, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 4, 0, 30, 2, 15, 0, 0, 0, 20, 0, 0, 20, 12, 0, 
## 17, 30, 2, 0, 0, 0, 0, 1, 0, 1, 1, 3, 0, 0, 28, 0, 0, 3, 0, 0, 
## 3, 0, 0, 0, 0, 0, 0, 7, 5, 0, 3, 0, 0, 0, 0, 0, 0, 15, 0, 10, 
## 4, 15, 10, 0, 0, 0, 0, 0, 15, 14, 1, 2, 7, 0, 0, 30, 0, 0, 25, 
## 0, 5, 0, 4, 0, 0, 0, 0, 14, 0, 0, 1, 0, 20, 15, 5, 30, 0, 5, 
## 0, 0, 10, 0, 0, 2, 30, 2, 0, 0, 30, 2, 0, 0, 1, 0, 0, 4, 0, 0, 
## 0, 10, 5, 30, 15, 5, 2, 14, 0, 2, 7, 0, 0, 0, 0, 4, 0, 0, 1, 
## 0, 0, 30, 0, 20, 0, 15, 0, 10, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 
## 5, 0, 0, 0, 0, 0, 0, 3, 30, 0, 1, 7, 2, 15, 0, 0, 0, 6, 0, 2, 
## 5, 3, 0, 0, 0, 7, 1, 0, 0, 0, 1, 0, 14, 0, 2, 0, 30, 0, 0, 0, 
## 0, 0, 3, 0, 0, 5, 15, 30, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 5, 0, 30, 3, 0, 0, 0, 0, 3, 
## 30, 0, 0, 0, 0, 0, 1, 0, 0, 0, 20, 2, 0, 2, 0, 0, 18, 0, 0, 0, 
## 0, 9, 5, 0, 0, 2, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
## 0, 0, 0, 1, 0, 2, 0, 5, 0, 20, 7, 0, 0, 0, 0, 4, 5, 0, 7, 0, 
## 4, 0, 30, 0, 0, 0, 0, 10, 5, 0, 2, 2, 7, 4, 0, 5, 15, 0, 0, 0, 
## 0, 0, 4, 0, 0, 4, 0, 0, 10, 0, 0, 30, 0, 0, 10, 0, 0, 30, 0, 
## 0, 0, 10, 0, 30, 2, 2, 7, 0, 15, 30, 0, 30, 0, 0, 30, 0, 10, 
## 0, 0, 0, 0, 30, 0, 0, 0, 30, 7, 0, 0, 0, 0, 0, 2, 0, 30, 5, 2, 
## 3, 0, 0, 1, 0, 20, 0, 0, 7, 0, 0, 15, 2, 30, 0, 0, 0, 0, 0, 0, 
## 5, 0, 3, 0, 0, 1, 10, 2, 0, 2, 20, 15, 0, 0, 0, 0, 7, 0, 0, 0, 
## 30, 0, 3, 0, 0, 0, 0, 0, 0, 20, 0, 0, 5, 0, 30, 30, 0, 0, 0, 
## 0, 0, 5, 1, 0, 0, 20, 0, 2, 0, 0, 5, 0, 5, 0, 30, 0, 30, 0, 0, 
## 7, 1, 0, 15, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 20, 0, 2, 0, 5, 2, 
## 10, 0, 2, 0, 2, 0, 1, 30, 7, 15, 15, 0, 0, 20, 0, 5, 0, 0, 0, 
## 0, 10, 10, 25, 0, 7, 0, 5, 0, 0, 0, 6, 0, 5, 2, 0, 0, 7, 0, 0, 
## 0, 0, 0, 0, 15, 0, 0, 20, 1, 0, 0, 30, 0, 0, 2, 4, 30, 0, 0, 
## 0, 5, 3, 18, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 
## 0, 0, 0, 0, 0, 0, 0, 20, 4, 0, 0, 1, 0, 30, 0, 0, 0, 15, 0, 0, 
## 0, 1, 1, 0, 0, 2, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 10, 5, 
## 0, 8, 0, 0, 0, 10, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 
## 10, 2, 0, 0, 20, 0, 0, 0, 0, 10, 0, 0, 0, 0, 2, 3, 4, 14, 0, 
## 0, 15, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 14, 30, 2, 0, 10, 0, 
## 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 3, 0, 0, 30, 0, 
## 2, 2, 0, 0, 0, 2, 7, 1, 0, 15, 2, 0, 2, 0, 14, 0, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0, 15, 
## 10, 0, 30, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 
## 0, 0, 0, 0, 0, 0, 30, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 
## 25, 0, 0, 15, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 5, 0, 0, 0, 3, 
## 0, 15, 0, 0, 30, 0, 8, 5, 0, 15, 0, 8, 3, 3, 0, 30, 3, 0, 0, 
## 30, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0, 7, 7, 1, 0, 0, 0, 0, 5, 
## 4, 0, 2, 2, 0, 5, 7, 0, 2, 0, 5, 0, 0, 5, 20, 0, 0, 0, 2, 0, 
## 0, 25, 0, 0, 0, 3, 0, 5, 0, 0, 3, 0, 14, 0, 5, 15, 2, 0, 0, 0, 
## 3, 0, 0, 0, 20, 0, 0, 0, 0, 3, 1, 8, 0, 30, 0, 5, 0, 30, 0, 0, 
## 0, 2, 5, 0, 6, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 
## 0, 2, 0, 5, 10, 0, 15, 12, 3, 0, 17, 0, 0, 0, 0, 0, 4, 30, 5, 
## 15, 0, 25, 3, 0, 21, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 7, 0, 30, 
## 0, 0, 0, 5, 0, 21, 30, 0, 0, 0, 30, 2, 5, 2, 0, 0, 0, 4, 0, 0, 
## 2, 30, 0, 0, 0, 20, 0, 0, 0, 0, 3, 15, 0, 0, 0, 0, 0, 5, 1, 5, 
## 5, 5, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 2, 0, 15, 3, 0, 0, 0, 0, 0, 0, 0, 30, 2, 0, 
## 0, 4, 0, 15, 2, 10, 0, 8, 0, 10, 0, 0, 3, 0, 0, 5, 2, 0, 20, 
## 0, 0, 0, 0, 5, 0, 0, 0, 3, 3, 0, 0, 7, 2, 10, 5, 0, 5, 15, 0, 
## 10, 1, 0, 30, 10, 0, 2, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
## 30, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 30, 0, 0, 0, 0, 
## 0, 2, 10, 5, 0, 3, 4, 0, 2, 0, 0, 0, 5, 30, 0, 12, 30, 10, 0, 
## 30, 0, 5, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 10, 0, 30, 0, 
## 25, 0, 0, 2, 30, 3, 2, 0, 30, 0, 20, 20, 3, 0, 0, 0, 2, 0, 30, 
## 0, 0, 0, 15, 0, 0, 3, 0, 0, 0, 5, 5, 5, 15, 0, 0, 7, 0, 0, 1, 
## 0, 0, 10, 0, 0, 14, 0, 20, 0, 7, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 
## 5, 2, 0, 20, 14, 0, 30, 7, 2, 5, 0, 15, 3, 0, 30, 0, 0, 0, 0, 
## 0, 0, 30, 6, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 30, 
## 10, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 30, 30, 0, 0, 30, 7, 10, 4, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 30, 30, 1, 5, 4, 0, 20, 0, 2, 
## 0, 0, 2, 0, 2, 0, 0, 0, 0, 5, 0, 0, 0, 30, 30, 8, 0, 0, 0, 0, 
## 0, 2, 0, 10, 15, 10, 0, 3, 0, 0, 0, 0, 3, 6, 3, 0, 0, 1, 0, 0, 
## 6, 0, 3, 10, 2, 5, 25, 0, 30, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 1, 
## 3, 0, 0, 30, 0, 0, 10, 5, 0, 0, 5, 0, 0, 0, 0, 4, 30, 15, 0, 
## 0, 0, 10, 0, 7, 15, 5, 5, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 7, 15, 
## 0, 0, 0, 0, 0, 0, 30, 5, 0, 5, 10, 0, 0, 20, 15, 0, 0, 0, 30, 
## 3, 0, 0, 30, 1, 0, 4, 10, 15, 0, 30, 0, 3, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 4, 15, 15, 15, 15, 2, 0, 30, 15, 0, 0, 3, 0, 0, 0, 0, 
## 0, 5, 0, 20, 3, 2, 20, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
## 30, 7, 0, 5, 0, 3, 0, 0, 2, 1, 8, 10, 0, 0, 0, 25, 0, 7, 5, 0, 
## 0, 30, 0, 0, 30, 5, 30, 4, 0, 0, 0, 20, 0, 10, 0, 0, 0, 1, 0, 
## 0, 2, 4, 0, 30, 0, 15, 0, 10, 0, 1, 0, 0, 0, 0, 0, 0, 1, 10, 
## 15, 0, 2, 0, 0, 0, 20, 0, 0, 3, 30, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
## 2, 0, 5, 30, 5, 0, 4, 0, 0, 0, 1, 0, 0, 0, 0, 10, 0, 2, 0, 30, 
## 1, 0, 2, 7, 0, 30, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 2, 0, 0, 4, 7, 2, 2, 0, 0, 4, 0, 0, 1, 15, 0, 
## 29, 1, 5, 0, 0, 30, 2, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
## 7, 30, 0, 0, 0, 0, 8, 0, 27, 0, 0, 0, 0, 0, 0, 1, 0, 0, 10, 5, 
## 0, 0, 0, 0, 1, 0, 30, 2, 0, 5, 0, 0, 0, 0, 0, 0, 3, 0, 0, 20, 
## 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 3, 
## 0, 0, 0, 0, 0, 5, 30, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 
## 10, 0, 0, 15, 14, 0, 5, 0, 0, 0, 0, 30, 0, 0, 0, 10, 0, 15, 0, 
## 5, 1, 0, 0, 0, 0, 0, 15, 0, 0, 0, 3, 0, 0, 1, 0, 0, 0, 3, 0, 
## 2, 4, 3, 7, 30, 0, 4, 5, 10, 5, 0, 0, 0, 0, 5, 0, 0, 0, 1, 0, 
## 2, 0, 0, 0, 7, 0, 0, 30, 0, 25, 0, 0, 30, 0, 0, 0, 0, 0, 20, 
## 0, 20, 0, 3, 0, 0, 0, 30, 30, 0, 0, 0, 0, 5, 0, 10, 3, 30, 0, 
## 29, 10, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 7, 0, 0, 30, 0, 0, 15, 
## 0, 10, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 1, 0, 12, 2, 0, 0, 30, 
## 2, 7, 2, 0, 0, 0, 0, 0, 0, 28, 0, 0, 15, 30, 0, 0, 0, 0, 0, 0, 
## 0, 0, 10, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 15, 0, 5, 10, 0, 0, 5, 
## 1, 0, 28, 1, 0, 0, 16, 0, 0, 0, 0, 0, 15, 0, 2, 0, 0, 0, 0, 2, 
## 0, 0, 1, 12, 10, 0, 2, 0, 0, 0, 2, 3, 2, 10, 1, 7, 0, 0, 0, 1, 
## 0, 10, 0, 0, 0, 0, 0, 0, 0, 5, 30, 30, 0, 0, 0, 0, 0, 0, 2, 0, 
## 8, 0, 0, 4, 30, 0, 10, 0, 0, 0, 10, 7, 0, 0, 7, 3, 10, 30, 0, 
## 0, 0, 0, 0, 3, 10, 30, 30, 4, 0, 15, 0, 0, 4, 0, 0, 0, 5, 1, 
## 14, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 15, 0, 0, 0, 12, 
## 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 0, 
## 0, 0, 0, 0, 5, 0, 0, 15, 1, 0, 15, 0, 0, 0, 0, 0, 1, 2, 2, 0, 
## 25, 2, 0, 0, 0, 2, 0, 0, 0, 16, 7, 2, 0, 2, 0, 0, 30, 3, 30, 
## 30, 0, 0, 5, 0, 0, 0, 0, 4, 14, 7, 4, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 15, 2, 20, 0, 0, 4, 0, 5, 10, 0, 0, 0, 2, 2, 6, 7, 0, 0, 15, 
## 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 23, 0, 0, 0, 0, 5, 0, 0, 1, 0, 
## 0, 5, 0, 0, 0, 0, 0, 0, 14, 0, 20, 12, 20, 0, 1, 2, 2, 0, 0, 
## 0, 7, 30, 0, 0, 1, 0, 3, 21, 0, 0, 1, 15, 0, 0, 4, 0, 20, 0, 
## 0, 0, 0, 4, 15, 15, 3, 30, 0, 0, 0, 0, 5, 30, 0, 0, 0, 0, 2, 
## 0, 0, 0, 0, 0, 0, 10, 0, 0, 15, 0, 0, 0, 1, 0, 1, 0, 7, 29, 0, 
## 15, 0, 0, 4, 0, 3, 2, 0, 3, 10, 15, 0, 0, 0, 0, 0, 0, 1, 0, 20, 
## 20, 0, 2, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 5, 0, 7, 4, 30, 0, 
## 0, 0, 0, 2, 0, 4, 0, 1, 0, 15, 3, 10, 0, 0, 30, 15, 0, 0, 3, 
## 0, 0, 0, 0, 1, 0, 30, 8, 1, 0, 0, 0, 0, 0, 30, 0, 5, 3, 4, 0, 
## 0, 0, 1, 0, 5, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 13, 0, 0, 0, 
## 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 15, 0, 30, 0, 0, 3, 0, 0, 0, 
## 0, 25, 3, 0, 0, 0, 0, 15, 0, 0, 5, 0, 0, 0, 1, 5, 0, 0, 0, 7, 
## 3, 0, 0, 0, 0, 30, 5, 30, 30, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 
## 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 15, 15, 6, 0, 
## 0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 30, 0, 0, 0, 5, 10, 5, 0, 
## 25, 2, 6, 9, 0, 20, 7, 0, 0, 0, 20, 20, 0, 2, 2, 0, 0, 30, 3, 
## 15, 0, 10, 0, 0, 0, 3, 5, 0, 0, 0, 0, 30, 0, 0, 0, 5, 0, 0, 0, 
## 0, 21, 0, 30, 0, 2, 0, 3, 0, 30, 0, 0, 5, 0, 1, 0, 0, 30, 0, 
## 0, 0, 0, 0, 0, 0, 5, 20, 0, 30, 0, 0, 0, 1, 0, 3, 0, 4, 15, 3, 
## 0, 5, 0, 30, 0, 14, 0, 0, 15, 4, 10, 0, 30, 0, 15, 30, 0, 20, 
## 0, 0, 0, 3, 0, 30, 0, 15, 0, 0, 3, 0, 28, 20, 1, 3, 0, 0, 0, 
## 29, 0, 0, 0, 3, 15, 3, 0, 1, 0, 0, 10, 0, 0, 2, 0, 0, 0, 0, 3, 
## 0, 20, 0, 5, 5, 0, 0, 15, 0, 0, 10, 15, 0, 0, 0, 0, 0, 14, 0, 
## 0, 0, 22, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 
## 0, 0, 15, 0, 10, 0, 1, 0, 15, 5, 30, 0, 0, 0, 0, 0, 8, 22, 2, 
## 0, 20, 5, 0, 0, 0, 5, 0, 25, 7, 14, 2, 4, 0, 0, 0, 0, 0, 0, 2, 
## 0, 1, 30, 0, 0, 5, 0, 0, 0, 5, 0, 0, 3, 0, 2, 4, 15, 30, 0, 0, 
## 0, 0, 30, 30, 3, 0, 15, 0, 0, 29, 8, 3, 0, 2, 15, 0, 0, 0, 6, 
## 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 10, 25, 0, 2, 30, 0, 0, 0, 5, 2, 
## 0, 0, 30, 0, 0, 10, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 30, 
## 0, 5, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 10, 5, 0, 30, 
## 1, 0, 0, 2, 0, 0, 0, 0, 1, 10, 0, 2, 0, 30, 0, 30, 2, 0, 0, 0, 
## 5, 0, 0, 4, 0, 0, 0, 0, 0, 15, 0, 0, 5, 0, 5, 0, 0, 0, 2, 5, 
## 0, 0, 0, 30, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 5, 15, 3, 0, 0, 0, 
## 0, 2, 3, 30, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 
## 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 13, 17, 20, 30, 20, 0, 0, 0, 
## 20, 0, 0, 5, 0, 2, 0, 0, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 
## 0, 30, 0, 0, 0, 2, 2, 0, 0, 0, 20, 0, 5, 0, 0, 0, 0, 22, 3, 3, 
## 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 10, 10, 14, 0, 5, 15, 0, 1, 
## 0, 2, 0, 0, 30, 2, 0, 0, 5, 2, 3, 0, 0, 21, 6, 0, 0, 4, 0, 0, 
## 0, 0, 30, 0, 30, 0, 0, 20, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 7, 8, 
## 28, 0, 0, 10, 2, 0, 0, 0, 15, 10, 0, 3, 0, 15, 0, 0, 0, 0, 0, 
## 6, 2, 2, 0, 0, 3, 0, 2, 2, 5, 30, 1, 0, 10, 0, 2, 8, 30, 24, 
## 0, 0, 10, 0, 0, 0, 12, 0, 30, 0, 0, 0, 5, 0, 0, 0, 20, 30, 0, 
## 0, 7, 4, 0, 0, 5, 4, 9, 30, 0, 0, 0, 14, 0, 0, 1, 30, 2, 0, 0, 
## 0, 0, 0, 30, 0, 0, 10, 3, 0, 15, 7, 1, 15, 0, 0, 0, 3, 25, 0, 
## 0, 10, 0, 0, 0, 1, 6, 0, 5, 15, 10, 30, 0, 0, 2, 0, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 7, 0, 0, 0, 15, 20, 7, 3, 0, 
## 0, 0, 7, 7, 0, 0, 30, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 10, 30, 0, 2, 0, 0, 0, 0, 30, 30, 0, 5, 7, 0, 2, 
## 8, 30, 0, 0, 15, 0, 0, 0, 5, 20, 15, 0, 3, 0, 0, 0, 0, 0, 0, 
## 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 4, 5, 0, 0, 0, 2, 5, 15, 
## 30, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 15, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 2, 0, 0, 20, 0, 0, 10, 0, 15, 2, 0, 5, 0, 0, 30, 5, 0, 0, 
## 0, 0, 0, 0, 0, 30, 0, 15, 0, 25, 0, 30, 30, 3, 0, 3, 0, 0, 0, 
## 0, 0, 7, 5, 10, 15, 0, 2, 0, 4, 0, 0, 3, 4, 0, 0, 5, 0, 0, 1, 
## 5, 10, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 10, 
## 0, 4, 0, 0, 0, 0, 15, 0, 0, 20, 0, 0, 5, 0, 2, 0, 0, 0, 0, 6, 
## 0, 2, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 2, 10, 30, 2, 15, 0, 
## 0, 0, 0, 0, 0, 2, 20, 0, 6, 0, 0, 0, 0, 15, 4, 0, 30, 0, 0, 0, 
## 0, 0, 0, 3, 0, 0, 0, 0, 5, 7, 5, 5, 2, 10, 25, 10, 3, 7, 1, 2, 
## 2, 20, 30, 14, 1, 5, 0, 2, 0, 0, 10, 0, 0, 0, 10, 3, 0, 20, 0, 
## 7, 0, 3, 0, 0, 0, 15, 30, 15, 0, 25, 2, 0, 0, 2, 0, 0, 2, 7, 
## 0, 0, 0, 0, 2, 15, 5, 0, 10, 30, 2, 0, 0, 20, 0, 4, 0, 0, 0, 
## 0, 0, 1, 15, 0, 13, 0, 25, 0, 0, 7, 15, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 20, 0, 3, 4, 0, 0, 0, 10, 0, 1, 0, 7, 3, 0, 7, 0, 0, 12, 
## 0, 0, 0, 0, 0, 0, 5, 0, 4, 2, 0, 0, 0, 25, 10, 0, 3, 10, 15, 
## 10, 0, 20, 0, 0, 0, 30, 5, 0, 0, 1, 0, 30, 10, 0, 0, 0, 7, 0, 
## 0, 0, 14, 0, 0, 20, 0, 0, 29, 0, 0, 0, 0, 0, 0, 0, 16, 0, 1, 
## 0, 2, 5, 2, 0, 0, 14, 0, 0, 10, 5, 0, 15, 1, 0, 0, 0, 0, 0, 0, 
## 10, 7, 0, 0, 0, 7, 0, 0, 15, 0, 30, 2, 2, 0, 0, 0, 0, 0, 0, 4, 
## 0, 0, 0, 3, 0, 0, 0, 7, 0, 0, 6, 30, 0, 15, 3, 0, 0, 0, 3, 0, 
## 0, 0, 0, 15, 0, 0, 0, 12, 2, 15, 30, 20, 0, 15, 0, 0, 0, 0, 0, 
## 0, 0, 3, 12, 0, 6, 5, 30, 0, 0, 0, 5, 0, 2, 14, 0, 10, 0, 7, 
## 1, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 15, 0, 0, 12, 0, 0, 10, 
## 0, 0, 0, 0, 1, 2, 0, 0, 4, 25, 0, 0, 12, 4, 0, 0, 4, 2, 0, 0, 
## 0, 2, 0, 2, 3, 15, 0, 0, 0, 0, 0, 0, 0, 10, 0, 4, 0, 5, 10, 3, 
## 5, 2, 0, 0, 0, 0, 0, 0, 0, 30, 27, 0, 0, 2, 5, 5, 0, 5, 20, 2, 
## 6, 0, 25, 0, 0, 0, 30, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 10, 0, 0, 
## 0, 2, 0, 0, 0, 15, 15, 10, 0, 1, 5, 30, 8, 8, 0, 0, 0, 3, 30, 
## 0, 5, 0, 0, 0, 0, 30, 0, 0, 1, 15, 1, 0, 0, 0, 0, 12, 0, 0, 0, 
## 0, 3, 0, 0, 3, 15, 20, 3, 0, 0, 2, 0, 0, 15, 0, 14, 0, 0, 5, 
## 0, 2, 0, 15, 2, 0, 0, 2, 15, 5, 20, 1, 6, 0, 0, 0, 0, 1, 3, 30, 
## 0, 30, 0, 0, 0, 14, 2, 0, 10, 0, 0, 0, 0, 30, 0, 0, 2, 0, 1, 
## 7, 15, 30, 0, 15, 0, 5, 7, 0, 1, 0, 0, 0, 2, 0, 0, 30, 0, 15, 
## 5, 0, 0, 0, 0, 0, 0, 3, 10, 15, 10, 0, 15, 0, 0, 0, 0, 0, 0, 
## 8, 20, 0, 0, 0, 0, 30, 0, 30, 30, 20, 0, 0, 30, 0, 5, 30, 10, 
## 2, 1, 0, 0, 0, 30, 1, 0, 0, 2, 0, 10, 0, 0, 0, 0, 0, 20, 0, 8, 
## 0, 0, 10, 0, 5, 0, 1, 10, 0, 0, 0, 0, 0, 0, 2, 10, 1, 0, 0, 1, 
## 0, 5, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 8, 0, 0, 3, 0, 10, 0, 30, 
## 10, 0, 4, 0, 15, 0, 5, 15, 1, 0, 30, 0, 2, 0, 3, 0, 0, 0, 3, 
## 0, 12, 0, 0, 10, 2, 0, 0, 0, 1, 3, 0, 0, 7, 0, 0, 0, 0, 1, 1, 
## 5, 21, 0, 10, 0, 0, 12, 0, 30, 15, 3, 0, 2, 2, 3, 20, 0, 0, 0, 
## 1, 0, 16, 0, 3, 29, 1, 0, 20, 0, 0, 0, 3, 0, 0, 0, 20, 1, 2, 
## 0, 30, 0, 0, 0, 2, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 
## 6, 30, 0, 2, 7, 0, 0, 5, 0, 2, 0, 7, 0, 15, 2, 20, 0, 0, 0, 3, 
## 4, 0, 0, 2, 0, 7, 0, 30, 2, 0, 0, 0, 1, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 4, 21, 0, 10, 10, 0, 15, 0, 0, 1, 0, 0, 2, 0, 20, 0, 0, 
## 0, 2, 0, 0, 6, 30, 30, 0, 10, 0, 0, 0, 0, 0, 0, 5, 0, 0, 15, 
## 10, 3, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 2, 4, 30, 0, 0, 0, 30, 20, 
## 6, 10, 3, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 2, 0, 0, 0, 3, 0, 
## 3, 30, 2, 1, 0, 4, 0, 30, 0, 20, 0, 0, 0, 0, 4, 10, 0, 30, 0, 
## 0, 0, 0, 0, 0, 0, 1, 0, 0, 15, 0, 5, 3, 0, 10, 5, 0, 0, 2, 5, 
## 0, 0, 0, 30, 23, 0, 2, 0, 0, 0, 0, 2, 3, 0, 15, 0, 0, 3, 0, 10, 
## 0, 30, 0, 0, 10, 0, 5, 0, 2, 0, 2, 0, 2, 1, 3, 8, 0, 0, 0, 0, 
## 0, 0, 2, 0, 3, 0, 0, 10, 0, 0, 0, 0, 0, 1, 5, 0, 0, 20, 0, 0, 
## 0, 10, 5, 0, 5, 4, 18, 0, 0, 0, 0, 15, 0, 1, 5, 0, 2, 3, 4, 0, 
## 0, 5, 5, 0, 0, 2, 0, 0, 15, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 
## 0, 0, 0, 7, 0, 0, 10, 2, 0, 5, 0, 0, 5, 5, 4, 15, 0, 20, 30, 
## 0, 0, 14, 10, 0, 4, 0, 15, 2, 3, 0, 0, 0, 20, 5, 0, 0, 3, 0, 
## 0, 0, 20, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 28, 0, 0, 1, 
## 0, 12, 0, 0, 0, 10, 5, 0, 0, 0, 0, 2, 0, 4, 0, 5, 30, 0, 0, 2, 
## 0, 0, 4, 4, 0, 0, 0, 30, 0, 1, 2, 4, 1, 0, 30, 5, 0, 0, 0, 0, 
## 10, 3, 3, 0, 0, 5, 30, 1, 30, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 30, 0, 0, 0, 0, 1, 
## 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 6, 5, 3, 15, 0, 
## 3, 0, 0, 20, 0, 0, 0, 30, 0, 0, 0, 30, 0, 1, 15, 14, 0, 0, 0, 
## 0, 0, 1, 10, 0, 30, 0, 0, 0, 0, 0, 28, 0, 0, 0, 10, 0, 0, 0, 
## 10, 0, 2, 0, 0, 0, 0, 2, 5, 0, 5, 5, 0, 0, 0, 2, 0, 0, 0, 3, 
## 0, 15, 0, 0, 2, 0, 0, 15, 0, 30, 0, 0, 30, 5, 3, 0, 0, 0, 0, 
## 30, 4, 1, 7, 0, 0, 15, 6, 0, 0, 0, 2, 0, 0, 0, 0, 30, 0, 0, 0, 
## 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 3, 2, 15, 
## 0, 10, 0, 0, 20, 0, 0, 30, 5, 0, 0, 2, 0, 2, 0, 0, 0, 30, 0, 
## 0, 0, 30, 0, 0, 2, 30, 2, 2, 0, 0, 2, 0, 0, 10, 0, 1, 2, 0, 3, 
## 15, 4, 5, 0, 0, 0, 2, 0, 25, 0, 15, 0, 0, 1, 1, 2, 5, 30, 0, 
## 28, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 30, 0, 0, 0, 4, 0, 0, 0, 
## 0, 1, 0, 0, 0, 0, 5, 0, 2, 1, 30, 0, 0, 0, 0, 0, 0, 10, 0, 1, 
## 0, 0, 1, 0, 0, 30, 0, 2, 0, 0, 15, 3, 0, 0, 15, 0, 0, 15, 0, 
## 0, 0, 4, 0, 0, 20, 0, 0, 4, 0, 0, 1, 15, 0, 0, 5, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 12, 7, 5, 30, 0, 0, 1, 15, 0, 
## 0, 30, 0, 30, 0, 0, 10, 0, 2, 30, 1, 0, 3, 0, 25, 0, 0, 0, 7, 
## 0, 0, 15, 30, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 3, 1, 0, 0, 0, 2, 0, 0, 15, 0, 0, 0, 0, 0, 0, 20, 30, 
## 0, 28, 0, 5, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 2, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 18, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
## 2, 15, 5, 0, 0, 5, 0, 1, 30, 0, 0, 5, 20, 0, 0, 30, 10, 5, 2, 
## 30, 30, 0, 2, 3, 0, 2, 0, 5, 0, 0, 0, 1, 2, 0, 3, 0, 0, 5, 0, 
## 0, 0, 0, 30, 0, 0, 2, 0, 0, 1, 0, 0, 0, 7, 5, 0, 30, 4, 0, 15, 
## 10, 2, 14, 1, 0, 0, 0, 5, 0, 0, 20, 0, 0, 15, 30, 0, 0, 0, 3, 
## 15, 0, 0, 0, 0, 30, 0, 0, 10, 30, 0, 0, 4, 0, 0, 1, 0, 15, 0, 
## 0, 0, 30, 0, 2, 3, 1, 0, 30, 15, 0, 0, 0, 0, 5, 30, 0, 0, 0, 
## 0, 3, 0, 30, 20, 0, 0, 2, 15, 0, 0, 0, 5, 30, 0, 0, 0, 0, 0, 
## 0, 0, 30, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, 5, 30, 5, 0, 0, 0, 
## 0, 0, 7, 0, 1, 0, 0, 0, 0, 0, 0, 8, 5, 0, 2, 0, 0, 0, 15, 0, 
## 2, 5, 0, 0, 20, 0, 0, 0, 0, 10, 5, 0, 0, 0, 0, 0, 5, 1, 10, 0, 
## 3, 0, 0, 0, 12, 0, 0, 3, 3, 0, 0, 1, 30, 2, 0, 0, 14, 0, 0, 7, 
## 0, 0, 15, 0, 20, 2, 0, 0, 25, 3, 13, 0, 0, 5, 0, 0, 2, 14, 2, 
## 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 15, 0, 2, 0, 0, 1, 0, 6, 0, 15, 
## 0, 15, 0, 0, 1, 15, 30, 0, 0, 2, 1, 30, 5, 0, 0, 5, 15, 20, 0, 
## 0, 0, 1, 0, 0, 0, 5, 0, 8, 0, 3, 15, 0, 0, 0, 5, 0, 0, 1, 0, 
## 0, 0, 15, 10, 20, 7, 0, 2, 0, 2, 0, 0, 0, 20, 5, 0, 7, 0, 0, 
## 3, 30, 0, 5, 0, 0, 0, 0, 0, 0, 30, 0, 25, 0, 30, 0, 30, 8, 30, 
## 0, 4, 2, 10, 30, 4, 0, 0, 20, 0, 15, 0, 0, 4, 0, 0, 30, 0, 0, 
## 1, 0, 0, 0, 0, 0, 0, 5, 0, 6, 0, 0, 3, 0, 0, 1, 0, 0, 2, 2, 0, 
## 3, 0, 0, 0, 0, 20, 0, 0, 0, 5, 0, 5, 0, 0, 3, 2, 0, 0, 0, 20, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 20, 0, 0, 30, 0, 10, 
## 0, 15, 7, 0, 30, 30, 0, 0, 3, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 10, 
## 0, 0, 30, 0, 20, 5, 15, 10, 0, 0, 3, 3, 0, 30, 0, 0, 0, 7, 0, 
## 21, 0, 20, 0, 5, 2, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 20, 
## 4, 0, 0, 0, 5, 0, 0, 30, 0, 0, 0, 10, 3, 15, 2, 4, 0, 3, 5, 0, 
## 1, 0, 0, 0, 0, 0, 0, 0, 30, 30, 4, 0, 1, 7, 10, 0, 0, 0, 0, 0, 
## 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 3, 20, 0, 30, 0, 10, 0, 7, 3, 
## 0, 0, 3, 0, 0, 0, 30, 0, 0, 3, 0, 0, 5, 0, 0, 2, 1, 30, 15, 1, 
## 10, 0, 3, 15, 7, 10, 14, 0, 0, 30, 1, 4, 0, 0, 0, 2, 2, 0, 4, 
## 0, 0, 0, 0, 0, 0, 5, 0, 25, 0, 15, 0, 5, 20, 3, 0, 0, 1, 30, 
## 5, 0, 0, 0, 7, 7, 4, 0, 0, 0, 3, 30, 0, 0, 1, 0, 0, 0, 28, 0, 
## 0, 0, 20, 7, 7, 0, 0, 0, 0, 0, 0, 10, 0, 30, 0, 0, 30, 2, 0, 
## 1, 4, 0, 0, 15, 0, 5, 0, 0, 6, 0, 22, 0, 1, 0, 0, 7, 0, 0, 5, 
## 0, 0, 5, 10, 4, 1, 5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 15, 0, 2, 2, 
## 0, 0, 0, 0, 0, 0, 4, 0, 7, 10, 0, 0, 5, 0, 2, 15, 15, 30, 0, 
## 3, 2, 4, 0, 15, 0, 0, 10, 30, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 
## 0, 0, 0, 0, 14, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 8, 0, 0, 
## 0, 20, 30, 2, 10, 30, 1, 0, 0, 0, 0, 0, 3, 10, 0, 0, 0, 0, 0, 
## 30, 0, 0, 0, 0, 2, 30, 0, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
## 5, 0, 2, 3, 5, 0, 0, 0, 0, 30, 0, 0, 0, 28, 0, 20, 2, 0, 4, 3, 
## 6, 0, 0, 0, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 20, 30, 0, 1, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 3, 2, 0, 0, 20, 0, 2, 0, 
## 0, 0, 0, 0, 0, 0, 15, 3, 0, 0, 4, 0, 4, 1, 30, 0, 4, 0, 0, 3, 
## 2, 0, 0, 0, 20, 0, 0, 2, 5, 0, 0, 5, 4, 25, 30, 0, 20, 2, 0, 
## 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 4, 30, 0, 0, 0, 0, 0, 0, 2, 10, 5, 0, 0, 0, 0, 0, 0, 0, 30, 25, 
## 0, 0, 0, 20, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 30, 1, 15, 0, 0, 
## 7, 30, 21, 1, 7, 0, 0, 2, 0, 0, 6, 1, 0, 5, 0, 2, 6, 0, 0, 0, 
## 0, 0, 3, 0, 0, 5, 4, 0, 0, 2, 30, 0, 0, 7, 10, 0, 0, 0, 5, 5, 
## 0, 0, 0, 0, 0, 0, 30, 3, 0, 0, 0, 3, 0, 0, 30, 20, 0, 0, 0, 0, 
## 0, 0, 15, 1, 3, 1, 0, 0, 0, 1, 2, 0, 0, 0, 30, 0, 0, 4, 1, 0, 
## 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 10, 15, 5, 1, 0, 5, 0, 
## 0, 5, 0, 0, 30, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 10, 0, 30, 
## 25, 0, 0, 0, 20, 2, 14, 0, 6, 0, 0, 0, 30, 5, 0, 0, 2, 0, 0, 
## 0, 0, 10, 5, 30, 0, 0, 15, 5, 4, 0, 7, 5, 2, 0, 0, 0, 0, 0, 3, 
## 10, 0, 15, 0, 0, 5, 30, 0, 0, 2, 6, 30, 3, 2, 0, 2, 0, 0, 4, 
## 0, 0, 0, 0, 10, 0, 14, 7, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 3, 
## 3, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 30, 0, 10, 0, 3, 10, 2, 10, 
## 5, 0, 2, 0, 0, 10, 1, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 7, 5, 0, 30, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 15, 0, 0, 
## 30, 1, 0, 20, 30, 0, 0, 0, 0, 0, 0, 0, 17, 3, 0, 20, 0, 1, 0, 
## 0, 0, 7, 0, 10, 0, 0, 0, 1, 8, 30, 2, 0, 0, 30, 0, 5, 0, 0, 0, 
## 0, 0, 5, 2, 0, 10, 0, 0, 0, 10, 8, 1, 0, 15, 30, 0, 0, 7, 2, 
## 0, 2, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 2, 0, 3, 0, 0, 30, 
## 20, 0, 3, 0, 0, 30, 15, 25, 0, 0, 30, 0, 0, 0, 0, 3, 7, 0, 5, 
## 0, 0, 2, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 15, 0, 0, 0, 
## 0, 0, 2, 10, 0, 0, 0, 0, 0, 5, 3, 0, 7, 0, 0, 0, 2, 30, 0, 0, 
## 0, 0, 30, 15, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 
## 0, 15, 0, 0, 30, 0, 0, 0, 0, 2, 4, 30, 0, 30, 0, 0, 15, 15, 0, 
## 14, 4, 25, 0, 30, 0, 5, 0, 2, 0, 0, 0, 0, 10, 5, 0, 4, 30, 0, 
## 10, 1, 3, 0, 7, 30, 20, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 10, 
## 0, 4, 15, 0, 0, 0, 30, 15, 15, 0, 0, 3, 0, 30, 0, 0, 0, 0, 0, 
## 15, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 6, 
## 30, 0, 2, 30, 2, 0, 0, 0, 0, 30, 0, 0, 0, 0, 30, 0, 0, 0, 3, 
## 0, 7, 14, 0, 15, 0, 0, 0, 3, 30, 0, 0, 0, 25, 0, 0, 0, 0, 10, 
## 5, 0, 0, 0, 10, 25, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 
## 0, 3, 20, 0, 0, 0, 2, 7, 0, 0, 0, 0, 0, 30, 4, 0, 0, 2, 3, 0, 
## 0, 10, 0, 0, 7, 0, 0, 11, 0, 0, 0, 0, 0, 5, 0, 10, 0, 0, 0, 0, 
## 0, 3, 0, 0, 0, 7, 5, 0, 0, 0, 0, 0, 0, 1, 15, 0, 0, 0, 5, 0, 
## 0, 15, 0, 0, 0, 0, 0, 10, 0, 3, 2, 0, 29, 8, 0, 1, 0, 10, 9, 
## 3, 0, 30, 0, 25, 21, 0, 0, 2, 5, 0, 0, 21, 0, 0, 3, 4, 0, 0, 
## 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 2, 0, 15, 5, 2, 0, 
## 0, 0, 2, 0, 1, 0, 0, 0, 3, 1, 0, 0, 10, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 5, 0, 15, 3, 15, 1, 0, 0, 0, 30, 0, 2, 5, 0, 0, 1, 0, 0, 
## 0, 10, 0, 1, 15, 30, 0, 0, 8, 0, 0, 3, 0, 5, 0, 0, 15, 0, 0, 
## 0, 2, 0, 2, 15, 0, 4, 0, 0, 0, 0, 2, 10, 0, 0, 1, 0, 25, 1, 0, 
## 20, 10, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 5, 0, 0, 3, 7, 5, 
## 0, 0, 20, 0, 5, 2, 2, 0, 3, 5, 10, 0, 2, 5, 0, 0, 0, 0, 3, 0, 
## 0, 0, 30, 15, 0, 0, 2, 15, 0, 0, 0, 0, 0, 5, 0, 0, 0, 10, 0, 
## 10, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 5, 5, 5, 2, 10, 3, 0, 5, 0, 
## 0, 0, 0, 0, 2, 0, 20, 0, 0, 20, 0, 10, 3, 0, 0, 0, 0, 2, 0, 0, 
## 30, 0, 0, 0, 0, 0, 25, 0, 14, 0, 0, 0, 0, 0, 2, 2, 0, 0, 15, 
## 30, 5, 15, 2, 0, 10, 0, 0, 8, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 
## 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 15, 2, 0, 
## 4, 4, 0, 0, 0, 5, 25, 15, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 5, 3, 
## 0, 7, 0, 30, 0, 0, 0, 0, 0, 0, 0, 15, 11, 0, 0, 30, 2, 0, 0, 
## 2, 4, 0, 0, 4, 0, 0, 10, 5, 0, 10, 0, 3, 0, 0, 25, 0, 0, 0, 0, 
## 20, 0, 0, 5, 0, 4, 0, 0, 0, 0, 0, 0, 5, 0, 0, 14, 0, 0, 0, 10, 
## 0, 2, 0, 30, 0, 4, 15, 0, 0, 3, 13, 2, 2, 0, 0, 0, 0, 0, 15, 
## 12, 0, 0, 0, 1, 0, 0, 5, 0, 0, 4, 15, 0, 2, 0, 0, 15, 0, 0, 0, 
## 0, 5, 0, 3, 0, 0, 15, 4, 3, 0, 25, 30, 0, 3, 0, 4, 15, 0, 2, 
## 30, 0, 10, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 1, 0, 
## 1, 3, 2, 12, 4, 0, 2, 5, 0, 1, 0, 0, 0, 15, 4, 0, 0, 0, 0, 5, 
## 3, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 14, 0, 0, 0, 0, 0, 5, 
## 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 30, 10, 8, 0, 15, 3, 2, 0, 0, 0, 
## 0, 1, 0, 0, 30, 20, 0, 0, 0, 2, 2, 0, 0, 0, 0, 7, 0, 0, 1, 0, 
## 1, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 15, 0, 4, 7, 
## 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 3, 7, 0, 0, 0, 0, 2, 0, 0, 
## 0, 30, 30, 30, 20, 0, 0, 0, 0, 5, 10, 0, 0, 0, 10, 0, 0, 0, 0, 
## 5, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 5, 0, 0, 0, 15, 0, 0, 0, 
## 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 14, 0, 0, 0, 3, 0, 0, 0, 3, 0, 1, 0, 0, 2, 0, 0, 0, 30, 
## 10, 0, 0, 0, 0, 2, 0, 0, 0, 20, 0, 0, 5, 3, 5, 5, 0, 0, 30, 4, 
## 5, 0, 0, 0, 0, 0, 0, 5, 30, 0, 0, 2, 14, 0, 3, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 3, 0, 2, 4, 5, 0, 2, 0, 0, 0, 
## 0, 0, 0, 0, 2, 0, 7, 0, 1, 0, 10, 4, 0, 20, 0, 0, 0, 0, 10, 15, 
## 0, 0, 0, 0, 0, 2, 0, 0, 3, 5, 25, 0, 0, 0, 2, 5, 0, 0, 1, 0, 
## 6, 0, 0, 0, 10, 0, 0, 30, 0, 0, 0, 1, 1, 0, 15, 2, 0, 2, 0, 30, 
## 4, 3, 3, 15, 10, 20, 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 2, 0, 
## 0, 1, 0, 14, 14, 29, 0, 0, 1, 0, 5, 2, 7, 0, 5, 0, 0, 0, 0, 3, 
## 0, 0, 0, 0, 15, 2, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 15, 
## 0, 10, 3, 0, 2, 30, 2, 7, 0, 0, 0, 14, 30, 0, 0, 0, 0, 15, 0, 
## 0, 0, 0, 30, 10, 15, 0, 2, 0, 10, 0, 0, 30, 0, 2, 0, 0, 5, 0, 
## 0, 0, 0, 0, 3, 0, 0, 15, 2, 9, 15, 0, 10, 0, 0, 1, 0, 30, 0, 
## 2, 0, 0, 0, 0, 20, 30, 15, 28, 2, 0, 0, 0, 0, 0, 5, 10, 10, 0, 
## 0, 15, 2, 30, 10, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 
## 20, 2, 0, 0, 0, 0, 0, 10, 1, 0, 0, 0, 1, 25, 0, 2, 0, 0, 0, 0, 
## 0, 7, 0, 0, 6, 0, 1, 0, 0, 0, 4, 3, 21, 14, 0, 0, 30, 0, 0, 0, 
## 0, 2, 0, 0, 0, 0, 30, 15, 0, 0, 15, 0, 0, 0, 0, 0, 4, 2, 0, 4, 
## 0, 0, 0, 5, 0, 0, 0, 0, 0, 7, 0, 10, 0, 0, 0, 0, 5, 0, 10, 0, 
## 0, 15, 5, 15, 20, 7, 0, 25, 0, 30, 0, 0, 30, 5, 30, 0, 0, 0, 
## 30, 0, 0, 0, 30, 0, 0, 0, 10, 0, 7, 0, 0, 0, 1, 0, 30, 0, 1, 
## 0, 5, 0, 20, 15, 20, 5, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 6, 
## 0, 0, 5, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 15, 0, 0, 0, 25, 0, 
## 0, 15, 0, 0, 0, 14, 5, 20, 0, 0, 3, 0, 0, 10, 0, 0, 5, 0, 10, 
## 0, 0, 0, 0, 0, 0, 7, 0, 1, 0, 30, 0, 3, 0, 0, 0, 0, 0, 0, 0, 
## 5, 0, 0, 0, 0, 0, 8, 0, 2, 3, 0, 5, 0, 30, 0, 15, 0, 5, 0, 0, 
## 0, 4, 30, 0, 2, 14, 5, 0, 0, 7, 10, 15, 0, 7, 10, 0, 5, 0, 0, 
## 0, 0, 0, 4, 15, 30, 0, 0, 10, 0, 0, 2, 0, 2, 3, 0, 0, 0, 0, 0, 
## 0, 20, 15, 0, 1, 0, 0, 7, 0, 20, 30, 7, 2, 20, 3, 0, 0, 0, 5, 
## 0, 1, 0, 0, 0, 8, 0, 0, 0, 15, 0, 0, 0, 0, 0, 3, 10, 0, 30, 0, 
## 30, 0, 20, 3, 0, 0, 2, 30, 10, 0, 15, 10, 0, 0, 0, 20, 5, 15, 
## 0, 0, 30, 0, 10, 0, 25, 7, 0, 0, 7, 23, 0, 10, 0, 10, 0, 0, 0, 
## 0, 0, 0, 7, 30, 0, 3, 5, 30, 0, 0, 0, 0, 0, 0, 0, 20, 0, 21, 
## 0, 0, 5, 15, 0, 3, 15, 0, 2, 0, 2, 0, 15, 0, 0, 3, 30, 4, 0, 
## 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 10, 0, 0, 7, 0, 28, 2, 28, 
## 0, 0, 3, 0, 2, 30, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 30, 0, 0, 
## 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 10, 
## 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 3, 20, 0, 0, 3, 0, 0, 0, 1, 
## 1, 2, 0, 5, 5, 1, 10, 0, 3, 3, 2, 0, 2, 0, 0, 10, 30, 0, 0, 30, 
## 20, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 15, 0, 5, 
## 0, 25, 15, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 30, 3, 0, 
## 0, 0, 0, 0, 0, 2, 0, 0, 10, 3, 0, 20, 30, 1, 2, 7, 0, 0, 0, 10, 
## 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 15, 0, 0, 0, 
## 1, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 2, 0, 0, 10, 2, 1, 0, 30, 0, 
## 5, 0, 0, 0, 0, 3, 4, 15, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 
## 0, 3, 0, 0, 0, 0, 30, 0, 15, 15, 2, 0, 15, 0, 0, 0, 0, 25, 0, 
## 0, 0, 0, 15, 0, 0, 0, 5, 20, 2, 0, 0, 5, 0, 0, 0, 0, 1, 10, 5, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 20, 3, 
## 1, 3, 10, 0, 30, 0, 24, 15, 5, 0, 0, 0, 0, 0, 4, 6, 28, 0, 15, 
## 0, 0, 2, 0, 0, 30, 0, 0, 0, 0, 30, 2, 10, 0, 0, 0, 0, 7, 0, 0, 
## 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 
## 0, 0, 2, 0, 0, 0, 3, 30, 0, 0, 1, 0, 0, 3, 0, 0, 2, 10, 4, 0, 
## 30, 0, 7, 30, 0, 0, 0, 0, 30, 3, 0, 30, 0, 0, 0, 10, 4, 0, 0, 
## 0, 0, 2, 7, 30, 0, 25, 15, 15, 0, 20, 0, 4, 2, 0, 3, 0, 5, 0, 
## 0, 22, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 
## 0, 0, 0, 15, 0, 2, 20, 0, 0, 0, 0, 2, 0, 26, 5, 15, 0, 0, 0, 
## 0, 0, 0, 2, 15, 0, 20, 0, 10, 2, 0, 0, 30, 1, 15, 0, 0, 0, 20, 
## 10, 14, 30, 14, 0, 0, 0, 0, 7, 4, 3, 0, 5, 0, 0, 0, 0, 0, 0, 
## 3, 2, 20, 5, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 1, 3, 0, 
## 10, 5, 0, 20, 0, 5, 0, 1, 10, 5, 0, 2, 0, 15, 10, 15, 0, 0, 10, 
## 0, 0, 0, 0, 0, 0, 10, 2, 0, 0, 0, 0, 2, 0, 5, 30, 0, 7, 0, 30, 
## 0, 0, 4, 30, 0, 0, 15, 15, 30, 3, 0, 2, 0, 0, 3, 0, 0, 0, 0, 
## 10, 3, 7, 10, 0, 0, 0, 0, 5, 1, 20, 0, 0, 0, 0, 0, 5, 0, 0, 0, 
## 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 15, 0, 0, 15, 0, 10, 30, 0, 0, 
## 0, 5, 0, 30, 0, 15, 0, 5, 0, 0, 10, 0, 0, 8, 0, 10, 15, 1, 30, 
## 5, 0, 0, 0, 7, 0, 0, 3, 3, 0, 15, 10, 0, 20, 0, 0, 7, 3, 0, 0, 
## 0, 0, 0, 10, 0, 0, 15, 0, 0, 0, 5, 3, 0, 0, 30, 0, 0, 0, 0, 2, 
## 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 15, 15, 0, 0, 2, 10, 0, 0, 1, 4, 
## 5, 2, 0, 0, 2, 5, 20, 30, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 7, 
## 2, 30, 0, 0, 0, 0, 0, 0, 30, 0, 0, 6, 0, 0, 30, 10, 0, 3, 0, 
## 0, 0, 14, 5, 0, 0, 3, 3, 0, 0, 3, 0, 10, 0, 2, 2, 5, 10, 0, 0, 
## 3, 0, 0, 0, 0, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 30, 
## 15, 0, 3, 0, 0, 30, 0, 0, 2, 0, 2, 0, 0, 1, 30, 15, 0, 0, 4, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 2, 2, 0, 7, 0, 0, 
## 1, 30, 0, 5, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 5, 0, 0, 0, 0, 
## 0, 5, 0, 0, 0, 2, 0, 0, 0, 0, 10, 1, 0, 20, 0, 5, 3, 0, 0, 2, 
## 2, 2, 0, 2, 0, 10, 12, 0, 0, 0, 0, 20, 0, 0, 30, 0, 20, 10, 0, 
## 1, 0, 0, 0, 15, 0, 0, 0, 1, 0, 15, 0, 0, 30, 0, 0, 30, 0, 0, 
## 10, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 2, 0, 0, 3, 0, 
## 0, 13, 0, 0, 0, 0, 0, 7, 0, 2, 0, 0, 0, 12, 0, 1, 2, 3, 0, 0, 
## 0, 0, 20, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 15, 10, 0, 0, 1, 0, 
## 0, 2, 10, 29, 0, 4, 0, 5, 10, 25, 0, 4, 0, 0, 10, 0, 0, 0, 4, 
## 0, 0, 0, 0, 10, 0, 5, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 1, 2, 4, 
## 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 10, 5, 0, 0, 2, 0, 3, 5, 0, 
## 10, 0, 0, 5, 0, 10, 3, 15, 0, 15, 10, 0, 20, 0, 0, 30, 0, 0, 
## 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 0, 7, 0, 10, 0, 0, 0, 7, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 10, 0, 
## 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 30, 
## 0, 0, 2, 0, 2, 0, 15, 0, 5, 0, 15, 0, 0, 0, 0, 0, 20, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 2, 0, 0, 1, 2, 
## 0, 6, 30, 0, 0, 0, 5, 0, 0, 17, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 
## 2, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 25, 2, 0, 0, 2, 0, 
## 0, 0, 30, 30, 0, 2, 10, 4, 5, 2, 0, 0, 0, 14, 0, 0, 0, 30, 5, 
## 0, 0, 0, 9, 0, 0, 20, 0, 10, 0, 10, 0, 0, 1, 0, 30, 0, 30, 0, 
## 0, 0, 1, 0, 0, 3, 3, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 
## 20, 0, 0, 0, 4, 0, 10, 15, 0, 0, 0, 0, 10, 30, 0, 7, 15, 0, 0, 
## 0, 0, 0, 0, 0, 0, 30, 0, 2, 15, 0, 0, 10, 0, 30, 1, 15, 5, 3, 
## 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 5, 1, 0, 0, 30, 0, 0, 
## 3, 0, 0, 30, 0, 25, 0, 0, 10, 15, 2, 0, 15, 0, 1, 1, 0, 4, 30, 
## 0, 14, 5, 2, 4, 0, 0, 3, 0, 0, 0, 0, 0, 1, 5, 0, 30, 0, 0, 0, 
## 0, 0, 0, 0, 0, 30, 1, 0, 2, 3, 30, 30, 0, 0, 0, 0, 0, 0, 30, 
## 0, 5, 10, 0, 0, 0, 30, 0, 0, 0, 0, 30, 0, 5, 0, 0, 0, 2, 7, 0, 
## 0, 1, 2, 14, 0, 3, 2, 0, 1, 0, 5, 20, 0, 0, 0, 0, 0, 2, 0, 0, 
## 0, 0, 0, 4, 7, 30, 0, 0, 0, 30, 0, 0, 14, 0, 7, 0, 0, 0, 0, 10, 
## 0, 0, 30, 1, 0, 3, 0, 0, 0, 0, 30, 3, 15, 10, 0, 3, 0, 1, 5, 
## 0, 3, 4, 0, 7, 10, 0, 0, 3, 0, 0, 10, 0, 0, 15, 0, 0, 1, 0, 0, 
## 2, 30, 0, 2, 3, 0, 0, 15, 0, 0, 0, 15, 0, 10, 30, 7, 0, 0, 10, 
## 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 15, 5, 2, 0, 0, 0, 5, 0, 30, 
## 0, 10, 1, 0, 1, 0, 3, 0, 7, 2, 5, 0, 0, 3, 0, 0, 15, 5, 10, 5, 
## 2, 0, 0, 0, 0, 0, 3, 10, 30, 30, 20, 20, 30, 0, 0, 4, 0, 0, 0, 
## 0, 30, 0, 1, 0, 0, 0, 15, 3, 0, 0, 7, 7, 0, 0, 0, 1, 0, 0, 0, 
## 0, 1, 0, 1, 30, 1, 10, 0, 0, 30, 0, 0, 0, 0, 0, 10, 0, 7, 0, 
## 0, 30, 0, 0, 0, 0, 10, 0, 30, 30, 2, 0, 0, 1, 0, 30, 0, 0, 0, 
## 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 15, 25, 
## 30, 30, 2, 14, 0, 0, 2, 0, 0, 0, 0, 0, 5, 5, 2, 10, 0, 0, 0, 
## 0, 5, 0, 0, 10, 10, 30, 2, 2, 0, 6, 0, 0, 0, 0, 30, 2, 30, 2, 
## 15, 0, 7, 0, 30, 0, 10, 3, 6, 0, 0, 2, 3, 15, 0, 15, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 25, 
## 7, 0, 15, 2, 7, 2, 15, 20, 0, 0, 0, 0, 0, 10, 5, 0, 0, 0, 20, 
## 30, 0, 0, 0, 0, 15, 0, 0, 0, 20, 5, 15, 0, 1, 2, 0, 10, 4, 3, 
## 0, 30, 1, 0, 0, 1, 4, 5, 0, 0, 3, 0, 0, 15, 0, 2, 30, 0, 0, 4, 
## 0, 0, 0, 9, 0, 10, 0, 0, 0, 3, 0, 0, 0, 0, 10, 5, 10, 1, 3, 0, 
## 0, 0, 5, 0, 0, 5, 2, 29, 4, 4, 0, 0, 5, 0, 3, 5, 15, 30, 0, 2, 
## 0, 2, 0, 0, 0, 15, 0, 4, 0, 0, 0, 0, 8, 5, 0, 30, 0, 0, 3, 0, 
## 5, 30, 0, 0, 0, 0, 0, 0, 0, 2, 10, 0, 0, 30, 0, 0, 0, 5, 0, 5, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 30, 0, 0, 1, 0, 2, 0, 15, 0, 
## 0, 5, 30, 0, 20, 0, 30, 0, 0, 2, 0, 0, 10, 0, 10, 30, 0, 15, 
## 15, 20, 0, 2, 2, 15, 30, 0, 0, 30, 0, 0, 5, 0, 2, 0, 30, 0, 0, 
## 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 23, 4, 3, 2, 15, 0, 5, 0, 0, 0, 
## 7, 0, 0, 0, 4, 0, 0, 0, 30, 30, 20, 2, 25, 4, 30, 0, 1, 0, 0, 
## 25, 0, 0, 0, 0, 1, 0, 3, 4, 0, 7, 0, 30, 0, 14, 0, 0, 0, 0, 30, 
## 0, 10, 5, 0, 0, 2, 15, 30, 0, 30, 0, 0, 20, 0, 0, 0, 0, 0, 0, 
## 0, 3, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 28, 3, 0, 0, 0, 14, 0, 2, 
## 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 30, 30, 30, 15, 0, 0, 
## 0, 0, 10, 0, 5, 0, 25, 7, 0, 3, 0, 0, 0, 10, 5, 2, 0, 0, 0, 0, 
## 0, 2, 0, 0, 1, 0, 2, 3, 3, 2, 0, 1, 0, 0, 30, 0, 0, 0, 0, 14, 
## 0, 7, 0, 1, 0, 0, 30, 0, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 15, 
## 0, 0, 20, 2, 5, 0, 0, 0, 2, 0, 7, 0, 0, 0, 20, 0, 5, 0, 0, 0, 
## 15, 7, 0, 4, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 5, 0, 4, 5, 0, 0, 0, 15, 0, 0, 5, 20, 0, 0, 
## 1, 1, 30, 0, 0, 0, 0, 7, 30, 6, 3, 0, 3, 0, 2, 0, 25, 3, 0, 0, 
## 20, 5, 10, 0, 5, 7, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 5, 0, 0, 0, 
## 1, 4, 0, 5, 0, 0, 0, 15, 0, 10, 0, 3, 2, 0, 0, 0, 2, 0, 0, 0, 
## 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 
## 2, 2, 0, 0, 5, 0, 0, 1, 0, 5, 2, 4, 10, 1, 0, 12, 12, 0, 0, 0, 
## 0, 5, 2, 0, 10, 0, 0, 5, 0, 0, 2, 6, 0, 3, 0, 2, 0, 2, 1, 30, 
## 0, 3, 0, 2, 0, 0, 0, 4, 30, 0, 0, 0, 0, 5, 10, 30, 0, 0, 0, 0, 
## 2, 20, 0, 6, 0, 1, 0, 0, 0, 0, 30, 0, 30, 0, 0, 3, 0, 10, 0, 
## 0, 0, 3, 4, 0, 0, 15, 0, 0, 0, 20, 0, 0, 1, 30, 5, 0, 0, 0, 5, 
## 1, 0, 30, 0, 0, 5, 0, 0, 0, 2, 1, 3, 0, 0, 0, 10, 5, 0, 0, 5, 
## 0, 20, 3, 0, 0, 14, 0, 0, 20, 2, 2, 2, 30, 0, 0, 30, 0, 30, 1, 
## 0, 0, 4, 3, 0, 6, 10, 30, 0, 20, 0, 0, 10, 2, 0, 0, 20, 5, 30, 
## 0, 0, 10, 0, 0, 0, 20, 0, 30, 30, 0, 3, 0, 3, 20, 0, 0, 13, 10, 
## 3, 0, 0, 0, 0, 30, 10, 0, 7, 0, 0, 15, 3, 10, 0, 0, 0, 7, 2, 
## 30, 0, 6, 30, 20, 2, 5, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 7, 0, 0, 
## 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 0, 2, 0, 0, 
## 0, 0, 0, 0, 0, 0, 1, 2, 4, 0, 0, 0, 0, 8, 2, 10, 0, 20, 0, 30, 
## 0, 0, 5, 10, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 30, 30, 0, 0, 0, 
## 0, 1, 0, 0, 30, 0, 0, 14, 3, 0, 0, 2, 0, 30, 0, 5, 0, 15, 0, 
## 0, 0, 0, 0, 5, 0, 10, 0, 0, 2, 0, 1, 2, 0, 0, 30, 7, 30, 0, 7, 
## 0, 1, 0, 5, 20, 0, 30, 0, 0, 0, 0, 30, 15, 0, 0, 0, 0, 0, 0, 
## 0, 7, 0, 0, 30, 20, 0, 3, 20, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 20, 
## 0, 30, 0, 1, 0, 5, 3, 15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 
## 0, 5, 3, 0, 0, 0, 0, 0, 3, 1, 0, 0, 15, 0, 0, 3, 2, 0, 0, 0, 
## 2, 15, 30, 1, 0, 0, 5, 0, 0, 0, 0, 0, 0, 15, 0, 5, 0, 0, 0, 0, 
## 0, 0, 0, 0, 3, 2, 0, 2, 0, 0, 0, 0, 2, 5, 0, 0, 0, 1, 0, 3, 0, 
## 2, 30, 0, 0, 0, 0, 2, 0, 0, 0, 30, 0, 0, 0, 2, 0, 5, 30, 30, 
## 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 25, 2, 0, 0, 5, 2, 30, 
## 0, 0, 1, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
## 0, 0, 0, 2, 15, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 
## 3, 0, 0, 2, 5, 30, 5, 2, 0, 20, 5, 15, 0, 5, 0, 0, 0, 2, 0, 15, 
## 5, 0, 15, 6, 30, 0, 0, 0, 20, 2, 25, 0, 0, 0, 30, 2, 0, 0, 10, 
## 0, 5, 0, 0, 0, 20, 0, 2, 4, 5, 3, 0, 3, 3, 20, 0, 14, 3, 10, 
## 0, 15, 0, 5, 0, 10, 0, 1, 30, 0, 0, 30, 0, 5, 0, 0, 0, 2, 0, 
## 0, 30, 0, 0, 0, 0, 0, 15, 5, 0, 0, 0, 14, 0, 0, 9, 0, 5, 0, 2, 
## 20, 3, 0, 0, 1, 14, 0, 0, 15, 10, 0, 0, 3, 0, 0, 0, 15, 0, 0, 
## 0, 10, 14, 0, 0, 0, 0, 0, 1, 0, 2, 20, 5, 5, 1, 2, 0, 29, 10, 
## 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 7, 0, 2, 30, 
## 0, 30, 0, 1, 5, 0, 0, 0, 2, 2, 0, 20, 0, 0, 0, 2, 0, 10, 0, 0, 
## 0, 3, 20, 0, 0, 0, 30, 0, 15, 0, 0, 0, 1, 10, 0, 0, 0, 0, 0, 
## 0, 0, 5, 0, 0, 0, 30, 0, 3, 20, 0, 5, 2, 20, 2, 0, 0, 4, 3, 10, 
## 0, 30, 5, 0, 0, 0, 20, 0, 0, 3, 0, 0, 3, 0, 3, 0, 10, 0, 0, 0, 
## 0, 7, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 
## 0, 2, 7, 5, 0, 0, 8, 30, 5, 30, 0, 8, 20, 4, 0, 0, 2, 0, 0, 0, 
## 0, 20, 0, 2, 0, 0, 5, 3, 0, 15, 0, 3, 15, 0, 0, 0, 0, 0, 4, 0, 
## 0, 3, 0, 30, 2, 0, 10, 0, 3, 5, 30, 0, 0, 0, 0, 0, 10, 0, 0, 
## 3, 0, 30, 0, 0, 30, 10, 4, 0, 0, 0, 0, 0, 10, 3, 2, 0, 0, 1, 
## 0, 10, 20, 15, 20, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 25, 0, 0, 
## 0, 30, 0, 1, 0, 15, 30, 0, 30, 0, 0, 0, 30, 0, 0, 30, 0, 0, 0, 
## 2, 30, 5, 30, 30, 0, 30, 30, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 7, 0, 0, 0, 0, 3, 0, 15, 
## 0, 0, 0, 0, 15, 0, 30, 3, 30, 30, 14, 4, 15, 0, 0, 0, 15, 30, 
## 0, 15, 2, 15, 1, 0, 0, 0, 0, 0, 25, 30, 25, 0, 0, 0, 30, 0, 0, 
## 0, 0, 0, 15, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 
## 0, 10, 0, 0, 0, 0, 30, 10, 0, 0, 0, 0, 15, 0, 0, 30, 30, 15, 
## 0, 5, 0, 0, 30, 5, 0, 15, 2, 0, 26, 0, 5, 0, 0, 0, 28, 0, 15, 
## 0, 0, 2, 0, 30, 28, 3, 0, 0, 0, 0, 0, 30, 25, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 8, 30, 0, 0, 0, 2, 0, 0, 0, 10, 0, 0, 0, 0, 
## 0, 0, 0, 15, 20, 0, 0, 2, 0, 30, 3, 0, 0, 15, 0, 0, 0, 0, 0, 
## 0, 0, 0, 3, 0, 0, 0, 30, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 1, 15, 
## 0, 10, 30, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 
## 2, 30, 0, 5, 0, 0, 0, 15, 0, 0, 30, 0, 0, 0, 20, 0, 0, 30, 3, 
## 0, 0, 0, 25, 0, 20, 30, 0, 0, 30, 0, 0, 3, 2, 1, 2, 0, 0, 0, 
## 0, 0, 30, 0, 0, 0, 30, 0, 0, 8, 30, 0, 0, 0, 30, 0, 0, 0, 0, 
## 0, 0, 0, 0, 3, 0, 0, 0, 0, 30, 0, 3, 30, 15, 0, 0, 0, 0, 15, 
## 2, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 10, 
## 0, 0, 0, 0, 2, 5, 5, 0, 0, 0, 0, 29, 30, 0, 4, 30, 0, 10, 0, 
## 0, 29, 3, 20, 0, 30, 15, 8, 30, 0, 0, 0, 0, 30, 0, 0, 0, 20, 
## 0, 0, 30, 0, 0, 15, 0, 0, 1, 0, 0, 0, 30, 0, 0, 30, 0, 0, 0, 
## 0, 0, 3, 3, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 1, 0, 0, 0, 0, 0, 20, 1, 0, 10, 0, 0, 10, 15, 0, 0, 21, 0, 0, 
## 0, 1, 5, 30, 0, 0, 2, 30, 0, 0, 4, 0, 2, 0, 20, 0, 0, 0, 0, 19, 
## 3, 30, 0, 30, 0, 30, 3, 2, 7, 0, 0, 1, 20, 30, 0, 5, 3, 30, 3, 
## 5, 0, 0, 0, 0, 0, 2, 4, 0, 0, 7, 30, 0, 0, 0, 0, 15, 3, 0, 0, 
## 0, 0, 0, 0, 0, 0, 15, 4, 30, 0, 30, 16, 20, 30, 0, 0, 0, 5, 0, 
## 0, 0, 0, 0, 0, 8, 30, 0, 0, 30, 0, 0, 0, 0, 7, 30, 0, 0, 3, 0, 
## 0, 0, 5, 1, 0, 15, 28, 0, 0, 0, 0, 0, 3, 0, 0, 30, 0, 4, 0, 30, 
## 0, 5, 0, 0, 0, 30, 0, 30, 3, 0, 0, 0, 30, 0, 0, 0, 0, 0, 30, 
## 0, 30, 0, 0, 0, 10, 0, 20, 30, 0, 0, 10, 0, 0, 15, 0, 0, 0, 10, 
## 0, 0, 0, 0, 0, 30, 10, 0, 0, 0, 14, 0, 10, 0, 0, 10, 10, 0, 0, 
## 3, 0, 0, 0, 5, 0, 20, 0, 10, 0, 5, 0, 0, 30, 0, 0, 0, 0, 0, 0, 
## 0, 0, 30, 0, 5, 0, 30, 0, 0, 30, 2, 0, 0, 2, 0, 0, 0, 0, 3, 0, 
## 0, 0, 0, 30, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 
## 0, 0, 2, 2, 30, 0, 0, 0, 2, 0, 0, 15, 3, 30, 0, 0, 0, 30, 0, 
## 5, 10, 0, 15, 5, 0, 30, 0, 0, 0, 20, 30, 0, 2, 0, 0, 0, 2, 0, 
## 0, 0, 0, 30, 0, 0, 0, 0, 0, 30, 5, 20, 0, 1, 30, 0, 15, 3, 0, 
## 0, 30, 0, 0, 0, 2, 30, 0, 0, 0, 30, 3, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 30, 0, 0, 0, 0, 3, 0, 30, 0, 0, 0, 0, 0, 0, 25, 10, 
## 0, 0, 4, 0, 0, 0, 30, 0, 0, 0, 0, 0, 25, 5, 0, 7, 30, 0, 0, 0, 
## 10, 0, 0, 2, 0, 30, 30, 0, 0, 0, 0, 0, 0, 1, 1, 30, 7, 0, 0, 
## 7, 0, 4, 0, 3, 0, 0, 0, 30, 0, 0, 30, 10, 8, 0, 7, 0, 0, 0, 0, 
## 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 21, 0, 0, 
## 0, 12, 25, 0, 30, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 
## 0, 0, 0, 0, 30, 0, 10, 0, 2, 30, 0, 0, 10, 0, 0, 0, 0, 3, 0, 
## 0, 5, 0, 0, 0, 1, 15, 5, 0, 0, 0, 0, 0, 0, 0, 5, 20, 1, 15, 0, 
## 0, 0, 0, 4, 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, 2, 0, 0, 15, 0, 0, 
## 0, 0, 0, 3, 0, 0, 0, 3, 0, 1, 5, 0, 0, 0, 0, 30, 0, 0, 0, 0, 
## 2, 0, 0, 0, 0, 1, 4, 25, 1, 0, 5, 0, 30, 0, 0, 0, 1, 0, 0, 2, 
## 0, 2, 0, 0, 0, 30, 20, 30, 0, 10, 0, 2, 0, 3, 3, 0, 3, 0, 3, 
## 30, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 10, 0, 
## 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 30, 0, 30, 10, 30, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 20, 0, 15, 0, 
## 0, 0, 0, 0, 25, 5, 0, 0, 0, 17, 0, 4, 0, 3, 0, 0, 0, 0, 0, 0, 
## 10, 0, 0, 0, 0, 15, 0, 10, 15, 0, 30, 0, 15, 0, 15, 2, 0, 0, 
## 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 30, 5, 0, 0, 10, 0, 0, 0, 0, 
## 0, 0, 0, 1, 30, 10, 0, 0, 0, 0, 0, 15, 2, 0, 0, 0, 0, 0, 30, 
## 0, 0, 0, 14, 0, 0, 0, 2, 0, 1, 0, 8, 0, 0, 0, 0, 0, 0, 15, 0, 
## 0, 0, 2, 0, 5, 2, 2, 5, 25, 30, 30, 30, 0, 0, 15, 0, 0, 0, 0, 
## 0, 0, 1, 0, 0, 30, 15, 1, 0, 5, 0, 0, 0, 5, 0, 0, 0, 15, 0, 0, 
## 30, 30, 0, 5, 30, 3, 0, 0, 0, 0, 0, 0, 1, 0, 5, 2, 0, 7, 0, 0, 
## 0, 0, 15, 0, 30, 0, 30, 0, 0, 0, 0, 0, 30, 20, 0, 0, 0, 30, 10, 
## 2, 0, 3, 0, 7, 0, 25, 0, 30, 0, 0, 0, 0, 15, 15, 0, 0, 0, 0, 
## 3, 15, 7, 0, 15, 0, 3, 15, 21, 30, 0, 0, 0, 0, 30, 0, 0, 0, 0, 
## 14, 30, 20, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 
## 0, 0, 3, 0, 0, 0, 0, 4, 20, 30, 30, 0, 0, 0, 3, 0, 5, 15, 30, 
## 6, 30, 2, 0, 28, 10, 0, 10, 0, 0, 0, 0, 5, 15, 15, 0, 0, 0, 15, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 5, 0, 0, 0, 3, 30, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 7, 0, 0, 0, 0, 5, 2, 
## 0, 0, 0, 30, 0, 0, 30, 30, 3, 0, 5, 30, 0, 0, 10, 0, 0, 10, 0, 
## 0, 0, 3, 0, 0, 20, 0, 0, 0, 3, 0, 0, 2, 25, 0, 0, 5, 0, 0, 3, 
## 0, 0, 20, 0, 30, 0, 30, 15, 0, 0, 0, 0, 0, 0, 0, 10, 0, 30, 30, 
## 0, 15, 0, 0, 0, 0, 5, 0, 2, 15, 0, 0, 0, 0, 0, 30, 0, 0, 30, 
## 29, 0, 10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 29, 30, 0, 0, 0, 30, 
## 30, 0, 0, 0, 30, 30, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
## 30, 0, 0, 0, 5, 30, 15, 0, 0, 15, 30, 30, 0, 0, 0, 0, 3, 20, 
## 2, 0, 1, 20, 0, 0, 0, 0, 0, 0, 5, 0, 30, 1, 0, 0, 0, 0, 30, 0, 
## 30, 0, 3, 14, 0, 0, 0, 1, 30, 15, 0, 0, 0, 0, 10, 0, 0, 5, 0, 
## 0, 0, 0, 10, 0, 5, 0, 2, 0, 30, 0, 0, 10, 10, 0, 0, 2, 30, 0, 
## 30, 6, 3, 0, 7, 0, 0, 1, 0, 0, 0, 0, 0, 0, 30, 28, 0, 10, 0, 
## 12, 0, 3, 2, 14, 1, 14, 0, 25, 0, 2, 0, 28, 0, 3, 0, 0, 0, 0, 
## 4, 0, 0, 0, 30, 30, 0, 0, 0, 2, 1, 0, 0, 20, 0, 1, 30, 0, 2, 
## 30, 14, 15, 0, 0, 0, 0, 30, 0, 30, 25, 0, 0, 15, 2, 0, 0, 25, 
## 30, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 
## 5, 5, 15, 0, 2, 0, 30, 0, 0, 0, 7, 0, 0, 10, 1, 30, 3, 1, 0, 
## 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 30, 0, 0, 0, 30, 0, 5, 30, 30, 
## 0, 0, 5, 0, 8, 0, 0, 1, 0, 0, 30, 0, 30, 25, 15, 0, 0, 0, 0, 
## 4, 0, 0, 0, 30, 0, 5, 30, 0, 0, 0, 0, 30, 0, 15, 2, 0, 0, 0, 
## 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 15, 0, 
## 0, 10, 3, 0, 0, 0, 10, 0, 20, 0, 10, 15, 30, 0, 0, 30, 30, 0, 
## 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 12, 2, 30, 0, 0, 15, 0, 0, 1, 3, 
## 0, 2, 0, 4, 0, 1, 30, 0, 30, 0, 0, 30, 2, 3, 20, 10, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
## 0, 0, 20, 0, 0, 10, 5, 0, 0, 3, 30, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
## 0, 0, 0, 25, 0, 0, 0, 2, 0, 0, 20, 20, 1, 5, 2, 0, 0, 0, 0, 0, 
## 0, 5, 0, 0, 8, 0, 0, 0, 2, 15, 30, 30, 0, 30, 0, 0, 0, 0, 0, 
## 4, 0, 0, 0, 0, 0, 10, 1, 3, 0, 0, 0, 0, 4, 30, 16, 2, 0, 30, 
## 14, 0, 20, 15, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 30, 0, 5, 0, 0, 2, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 4, 0, 
## 0, 20, 10, 7, 0, 5, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 30, 0, 0, 
## 1, 0, 0, 30, 0, 30, 0, 0, 0, 0, 2, 0, 3, 1, 5, 0, 30, 5, 0, 30, 
## 7, 0, 0, 0, 25, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 
## 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 27, 30, 0, 0, 2, 1, 30, 
## 0, 1, 0, 2, 0, 0, 0, 15, 0, 10, 0, 0, 0, 10, 0, 0, 13, 0, 20, 
## 30, 30, 0, 30, 0, 0, 15, 0, 30, 1, 0, 0, 7, 25, 7, 15, 0, 0, 
## 0, 0, 2, 0, 10, 15, 0, 0, 0, 3, 0, 10, 0, 10, 0, 30, 15, 0, 0, 
## 0, 0, 0, 30, 3, 0, 0, 30, 15, 0, 0, 0, 0, 0, 15, 5, 0, 0, 20, 
## 24, 0, 20, 2, 0, 0, 0, 10, 0, 2, 0, 0, 0, 0, 8, 0, 0, 15, 0, 
## 0, 0, 0, 0, 0, 3, 0, 5, 14, 15, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 30, 0, 2, 7, 15, 30, 0, 15, 0, 0, 2, 15, 3, 
## 0, 30, 2, 0, 0, 25, 0, 2, 30, 0, 0, 5, 15, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 30, 0, 0, 0, 20, 0, 0, 0, 0, 15, 30, 2, 0, 0, 10, 0, 
## 0, 2, 0, 21, 0, 30, 30, 29, 0, 3, 0, 0, 5, 0, 0, 1, 0, 30, 30, 
## 10, 2, 10, 0, 0, 0, 0, 15, 0, 0, 0, 0, 15, 30, 0, 0, 0, 0, 0, 
## 2, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 20, 0, 2, 0, 30, 1, 15, 
## 30, 0, 25, 10, 0, 0, 20, 5, 15, 0, 30, 0, 0, 10, 0, 3, 3, 0, 
## 0, 0, 0, 0, 0, 0, 8, 15, 0, 0, 5, 0, 0, 0, 0, 0, 10, 0, 0, 0, 
## 0, 0, 20, 2, 5, 10, 0, 0, 0, 3, 0, 5, 7, 7, 4, 2, 0, 0, 0, 5, 
## 30, 30, 0, 0, 5, 0, 0, 0, 0, 0, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 10, 0, 30, 0, 15, 0, 0, 0, 10, 0, 0, 2, 
## 28, 0, 0, 5, 0, 0, 10, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 
## 30, 10, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 14, 0, 0, 0, 0, 30, 
## 15, 1, 0, 1, 0, 0, 15, 0, 0, 30, 0, 0, 0, 20, 0, 0, 5, 0, 10, 
## 0, 0, 0, 0, 0, 3, 0, 0, 30, 0, 10, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 25, 0, 0, 20, 0, 0, 0, 2, 30, 
## 0, 10, 0, 0, 0, 0, 0, 0, 10, 0, 2, 0, 2, 3, 30, 0, 0, 30, 0, 
## 0, 30, 0, 5, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 8, 
## 6, 2, 5, 7, 0, 15, 0, 0, 3, 0, 5, 25, 0, 0, 25, 0, 30, 15, 5, 
## 0, 0, 0, 20, 0, 5, 2, 15, 5, 0, 20, 30, 0, 0, 0, 30, 0, 0, 2, 
## 0, 7, 0, 0, 4, 0, 0, 0, 7, 0, 5, 0, 0, 0, 30, 14, 0, 20, 20, 
## 0, 30, 0, 0, 30, 20, 30, 18, 15, 0, 30, 0, 30, 0, 2, 0, 30, 30, 
## 15, 30, 0, 30, 4, 10, 3, 7, 0, 0, 0, 25, 0, 0, 0, 0, 0, 4, 0, 
## 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 5, 7, 15, 0, 5, 0, 0, 10, 3, 0, 
## 0, 30, 0, 30, 30, 0, 0, 0, 2, 5, 30, 5, 0, 0, 0, 3, 30, 5, 0, 
## 0, 0, 0, 0, 0, 0, 30, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
## 0, 30, 0, 0, 0, 0, 0, 0, 0, 20, 0, 2, 0, 3, 30, 0, 0, 5, 30, 
## 0, 15, 0, 0, 8, 0, 15, 0, 0, 0, 0, 15, 0, 0, 2, 30, 0, 0, 3, 
## 0, 0, 5, 7, 1, 30, 30, 0, 0, 20, 0, 14, 14, 2, 0, 0, 10, 0, 2, 
## 0, 30, 0, 1, 6, 27, 5, 20, 0, 5, 5, 20, 0, 3, 2, 12, 30, 0, 10, 
## 0, 0, 30, 0, 30, 30, 0, 30, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 1, 7, 3, 1, 30, 3, 0, 5, 29, 20, 0, 30, 10, 30, 0, 0, 2, 
## 0, 0, 0, 0, 2, 0, 0, 0, 7, 0, 0, 0, 0, 30, 20, 0, 0, 0, 28, 30, 
## 0, 1, 0, 0, 0, 2, 15, 0, 3, 3, 0, 0, 15, 0, 0, 30, 0, 0, 0, 0, 
## 10, 0, 1, 0, 7, 0, 0, 20, 0, 0, 0, 0, 15, 0, 0, 0, 5, 10, 30, 
## 30, 0, 0, 10, 0, 30, 0, 0, 0, 30, 0, 0, 0, 10, 0, 0, 0, 1, 2, 
## 0, 0, 6, 0, 0, 0, 12, 0, 0, 0, 0, 15, 0, 0, 30, 0, 0, 0, 0, 0, 
## 1, 0, 0, 0, 30, 0, 10, 30, 0, 0, 0, 30, 5, 0, 2, 25, 0, 0, 30, 
## 1, 0, 10, 0, 2, 0, 2, 0, 3, 0, 30, 15, 30, 0, 30, 3, 0, 0, 0, 
## 0, 0, 30, 30, 0, 15, 0, 0, 0, 2, 0, 30, 0, 0, 0, 30, 0, 3, 15, 
## 0, 7, 0, 0, 0, 30, 30, 1, 0, 0, 0, 10, 2, 1, 0, 2, 30, 30, 5, 
## 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 4, 0, 25, 15, 0, 20, 0, 2, 0, 
## 20, 10, 0, 0, 20, 30, 30, 25, 28, 30, 0, 0, 0, 0, 4, 0, 2, 0, 
## 20, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 15, 0, 0, 0, 0, 30, 
## 0, 0, 0, 4, 15, 0, 5, 28, 0, 12, 3, 0, 30, 30, 0, 0, 0, 2, 15, 
## 3, 0, 4, 0, 3, 10, 2, 0, 1, 5, 0, 0, 0, 0, 0, 4, 0, 3, 30, 0, 
## 0, 0, 0, 0, 0, 0, 20, 30, 0, 0, 0, 0, 0, 10, 0, 30, 0, 2, 0, 
## 0, 0, 0, 0, 0, 2, 0, 15, 10, 0, 0, 0, 0, 15, 0, 1, 7, 30, 0, 
## 1, 0, 7, 0, 0, 30, 0, 5, 30, 0, 0, 0, 6, 0, 0, 0, 15, 0, 0, 0, 
## 0, 0, 1, 0, 25, 5, 30, 30, 0, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 
## 0, 30, 0, 20, 4, 0, 15, 30, 0, 0, 0, 0, 0, 7, 0, 0, 0, 3, 7, 
## 0, 0, 14, 0, 0, 0, 0, 2, 0, 5, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 29, 0, 0, 2, 0, 0, 0, 0, 1, 0, 4, 5, 0, 0, 30, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 30, 0, 10, 0, 0, 20, 0, 25, 30, 4, 21, 0, 
## 0, 10, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 4, 7, 0, 0, 0, 5, 0, 0, 
## 0, 0, 0, 0, 0, 5, 0, 0, 0, 10, 0, 30, 0, 10, 0, 0, 15, 0, 10, 
## 25, 4, 20, 2, 0, 0, 2, 20, 4, 5, 0, 0, 20, 10, 0, 0, 30, 7, 7, 
## 0, 0, 30, 0, 0, 0, 15, 0, 0, 0, 0, 0, 15, 0, 0, 0, 3, 0, 10, 
## 0, 0, 1, 15, 0, 0, 0, 30, 0, 0, 0, 2, 3, 2, 0, 30, 15, 0, 0, 
## 0, 0, 30, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 28, 0, 30, 0, 0, 0, 0, 
## 0, 0, 0, 30, 2, 0, 30, 5, 0, 0, 2, 0, 0, 0, 0, 0, 15, 2, 20, 
## 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 30, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 
## 3, 2, 0, 0, 0, 10, 0, 25, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 
## 0, 0, 0, 23, 7, 2, 0, 15, 7, 0, 0, 0, 30, 0, 0, 0, 2, 0, 0, 30, 
## 0, 0, 4, 0, 10, 0, 15, 0, 1, 2, 7, 30, 2, 3, 0, 30, 0, 0, 0, 
## 27, 0, 0, 30, 30, 0, 2, 0, 5, 0, 0, 4, 0, 15, 0, 0, 0, 1, 0, 
## 0, 4, 0, 26, 3, 30, 30, 5, 0, 20, 30, 20, 2, 0, 0, 0, 0, 0, 28, 
## 10, 30, 0, 0, 0, 0, 0, 2, 0, 7, 10, 0, 0, 0, 0, 0, 0, 0, 5, 0, 
## 0, 0, 30, 0, 0, 0, 20, 0, 0, 0, 30, 0, 0, 0, 3, 30, 0, 0, 0, 
## 2, 10, 0, 0, 10, 0, 6, 0, 30, 0, 30, 2, 8, 0, 0, 0, 15, 0, 0, 
## 5, 0, 0, 0, 28, 0, 0, 27, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 25, 
## 0, 0, 0, 1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 30, 4, 3, 
## 0, 3, 0, 3, 0, 0, 0, 30, 30, 0, 15, 15, 0, 0, 0, 0, 2, 3, 30, 
## 0, 0, 0, 10, 7, 1, 0, 20, 3, 20, 0, 30, 0, 10, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 1, 2, 
## 0, 0, 0, 15, 2, 0, 0, 0, 0, 0, 0, 20, 20, 3, 0, 0, 0, 20, 10, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 20, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 4, 10, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 30, 0, 0, 3, 
## 0, 30, 0, 0, 0, 0, 14, 3, 0, 0, 0, 4, 0, 0, 30, 0, 0, 4, 15, 
## 30, 5, 15, 0, 0, 0, 0, 0, 22, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
## 6, 0, 15, 0, 0, 25, 2, 0, 0, 0, 0, 10, 2, 0, 0, 0, 30, 10, 0, 
## 30, 30, 0, 0, 30, 30, 0, 0, 0, 20, 0, 0, 0, 30, 15, 2, 0, 0, 
## 0, 0, 4, 0, 15, 2, 3, 0, 0, 30, 0, 0, 2, 2, 2, 0, 10, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 21, 0, 30, 0, 5, 30, 0, 0, 0, 5, 10, 0, 1, 
## 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 30, 0, 0, 
## 0, 0, 0, 0, 0, 15, 0, 0, 0, 15, 0, 30, 2, 0, 0, 0, 1, 0, 0, 30, 
## 0, 8, 30, 25, 0, 2, 0, 0, 0, 0, 2, 0, 0, 15, 14, 5, 0, 5, 30, 
## 30, 0, 1, 0, 0, 0, 2, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 18, 0, 0, 15, 0, 0, 30, 1, 0, 15, 0, 2, 15, 6, 30, 0, 20, 
## 0, 20, 30, 0, 0, 0, 0, 0, 4, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 
## 0, 0, 0, 0, 0, 0, 0, 15, 5, 0, 0, 0, 2, 0, 0, 3, 1, 0, 0, 10, 
## 2, 30, 30, 0, 28, 0, 3, 0, 0, 0, 0, 25, 0, 0, 0, 0, 7, 0, 0, 
## 0, 12, 0, 0, 0, 1, 0, 2, 0, 0, 30, 0, 7, 0, 15, 0, 2, 0, 0, 0, 
## 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 30, 10, 1, 0, 0, 0, 0, 5, 
## 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 30, 
## 0, 0, 0, 0, 30, 0, 4, 0, 20, 28, 0, 0, 0, 0, 0, 30, 0, 0, 0, 
## 3, 10, 5, 8, 1, 0, 0, 30, 0, 1, 0, 0, 30, 15, 30, 30, 0, 7, 2, 
## 8, 0, 0, 15, 0, 0, 0, 30, 15, 0, 0, 15, 0, 0, 0, 0, 30, 0, 15, 
## 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 
## 0, 0, 20, 0, 0, 0, 0, 2, 15, 0, 0, 10, 0, 0, 1, 3, 0, 0, 0, 0, 
## 0, 30, 0, 10, 0, 0, 0, 0, 0, 30, 7, 4, 0, 0, 0, 0, 7, 0, 2, 0, 
## 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 10, 0, 0, 30, 0, 0, 0, 30, 3, 1, 
## 0, 4, 4, 20, 0, 3, 0, 0, 5, 0, 4, 0, 0, 1, 0, 15, 30, 14, 0, 
## 0, 7, 10, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 10, 
## 12, 7, 0, 5, 30, 0, 0, 0, 10, 0, 0, 0, 0, 30, 30, 0, 7, 2, 4, 
## 0, 5, 0, 30, 2, 0, 27, 0, 0, 4, 0, 0, 0, 0, 0, 0, 30, 0, 0, 2, 
## 0, 0, 2, 0, 10, 0, 10, 0, 3, 10, 0, 10, 0, 0, 1, 0, 0, 0, 0, 
## 0, 0, 0, 0, 20, 0, 0, 30, 30, 5, 0, 1, 0, 4, 3, 0, 15, 20, 10, 
## 10, 0, 0, 0, 3, 0, 10, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 10, 20, 
## 0, 3, 5, 20, 22, 0, 4, 0, 0, 0, 30, 15, 0, 0, 0, 0, 20, 0, 0, 
## 10, 0, 1, 30, 5, 0, 0, 30, 2, 10, 1, 0, 0, 0, 0, 0, 7, 0, 30, 
## 0, 2, 0, 0, 20, 0, 0, 30, 0, 0, 0, 0, 0, 3, 2, 30, 1, 0, 0, 0, 
## 0, 0, 0, 5, 2, 2, 30, 1, 2, 0, 0, 3, 10, 0, 0, 0, 2, 0, 0, 0, 
## 27, 0, 0, 15, 0, 0, 12, 0, 0, 8, 0, 30, 0, 0, 0, 0, 20, 0, 0, 
## 0, 0, 0, 0, 30, 0, 3, 29, 0, 0, 0, 0, 0, 0, 1, 0, 29, 6, 0, 0, 
## 0, 0, 2, 15, 5, 0, 15, 0, 15, 0, 4, 0, 0, 0, 30, 0, 0, 0, 0, 
## 15, 30, 0, 0, 2, 0, 0, 30, 0, 0, 0, 30, 0, 10, 15, 0, 0, 3, 6, 
## 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 10, 6, 0, 0, 5, 0, 0, 0, 0, 5, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 0, 0, 0, 0, 30, 0, 0, 0, 
## 0, 0, 0, 15, 0, 0, 28, 14, 1, 0, 5, 0, 0, 0, 0, 0, 30, 1, 0, 
## 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 20, 0, 30, 0, 0, 20, 0, 
## 2, 20, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
## 15, 0, 0, 0, 5, 0, 0, 0, 0, 30, 2, 25, 0, 1, 0, 0, 20, 0, 0, 
## 0, 0, 10, 0, 0, 30, 3, 0, 0, 0, 0, 10, 1, 30, 0, 20, 30, 0, 0, 
## 0, 0, 0, 0, 15, 0, 5, 15, 0, 0, 15, 0, 0, 8, 0, 0, 0, 0, 0, 30, 
## 0, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 2, 30, 0, 0, 0, 20, 0, 0, 
## 3, 0, 30, 10, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 
## 0, 0, 0, 15, 0, 0, 0, 0, 0, 5, 0, 20, 4, 2, 0, 3, 0, 0, 7, 0, 
## 0, 0, 0, 0, 4, 0, 30, 0, 1, 0, 14, 6, 0, 0, 0, 0, 1, 4, 30, 0, 
## 0, 0, 1, 1, 0, 0, 15, 0, 0, 0, 4, 0, 30, 10, 2, 0, 0, 5, 0, 30, 
## 30, 4, 0, 10, 1, 5, 2, 7, 2, 0, 0, 0, 0, 25, 0, 0, 0, 0, 5, 10, 
## 0, 0, 2, 7, 0, 7, 0, 0, 0, 0, 0, 0, 30, 5, 15, 30, 0, 20, 0, 
## 0, 0, 0, 0, 30, 5, 30, 0, 0, 30, 1, 15, 0, 4, 0, 0, 0, 6, 0, 
## 0, 0, 5, 0, 10, 15, 1, 0, 0, 15, 2, 0, 0, 0, 0, 0, 0, 3, 26, 
## 4, 3, 0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 15, 0, 0, 1, 5, 
## 1, 0, 0, 7, 0, 3, 0, 0, 0, 0, 15, 0, 0, 2, 0, 0, 0, 4, 0, 0, 
## 0, 0, 0, 0, 0, 0, 20, 0, 0, 15, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 
## 30, 20, 0, 0, 0, 2, 1, 0, 30, 0, 0, 0, 0, 0, 0, 30, 0, 20, 3, 
## 0, 0, 0, 0, 0, 0, 8, 10, 0, 7, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 30, 0, 30, 0, 0, 0, 30, 0, 0, 0, 
## 0, 1, 7, 0, 0, 30, 0, 0, 0, 0, 10, 0, 0, 3, 0, 0, 5, 30, 0, 0, 
## 0, 0, 10, 0, 1, 0, 0, 0, 0, 0, 0, 0, 20, 25, 25, 2, 25, 1, 0, 
## 30, 30, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 10, 5, 0, 0, 
## 0, 10, 5, 0, 0, 0, 0, 10, 0, 0, 5, 20, 30, 0, 0, 30, 3, 30, 0, 
## 0, 0, 0, 30, 0, 0, 0, 0, 15, 0, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 20, 4, 6, 0, 0, 0, 30, 0, 0, 0, 30, 1, 30, 0, 2, 30, 0, 
## 0, 3, 14, 0, 0, 3, 30, 30, 0, 10, 0, 0, 3, 0, 3, 0, 30, 0, 0, 
## 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 4, 0, 15, 0, 0, 15, 
## 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 15, 0, 0, 0, 0, 
## 0, 20, 2, 0, 0, 20, 0, 30, 0, 2, 0, 5, 0, 0, 0, 0, 0, 0, 15, 
## 0, 0, 30, 0, 30, 0, 30, 2, 30, 30, 20, 0, 2, 2, 0, 7, 30, 0, 
## 0, 0, 10, 0, 2, 0, 0, 0, 30, 1, 0, 0, 0, 0, 30, 0, 0, 0, 10, 
## 12, 13, 0, 0, 4, 8, 7, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 
## 5, 0, 0, 30, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 3, 30, 10, 
## 0, 0, 30, 3, 0, 0, 20, 0, 0, 30, 7, 0, 0, 15, 0, 0, 15, 0, 0, 
## 30, 0, 0, 30, 30, 10, 0, 20, 1, 0, 0, 0, 0, 0, 30, 0, 0, 5, 0, 
## 20, 4, 0, 0, 10, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 
## 5, 0, 0, 15, 0, 4, 20, 0, 30, 5, 0, 0, 30, 0, 0, 0, 0, 3, 0, 
## 0, 2, 0, 0, 24, 20, 0, 30, 15, 30, 0, 0, 5, 0, 30, 30, 10, 2, 
## 5, 2, 0, 0, 0, 0, 0, 0, 4, 15, 0, 2, 0, 2, 18, 0, 30, 0, 0, 8, 
## 0, 0, 0, 0, 0, 30, 0, 0, 0, 10, 0, 0, 0, 0, 25, 3, 4, 0, 0, 0, 
## 5, 29, 14, 7, 3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 7, 0, 0, 0, 0, 0, 
## 29, 0, 30, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 30, 0, 6, 0, 0, 0, 
## 0, 2, 0, 0, 0, 0, 0, 15, 0, 0, 0, 15, 2, 4, 10, 0, 0, 0, 0, 0, 
## 15, 10, 15, 0, 10, 5, 0, 0, 0, 20, 0, 0, 15, 0, 0, 10, 0, 15, 
## 0, 30, 0, 0, 0, 15, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 3, 0, 0, 
## 1, 16, 0, 15, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 
## 0, 0, 0, 25, 1, 0, 20, 0, 10, 30, 0, 30, 0, 0, 5, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 2, 30, 1, 0, 0, 1, 0, 0, 0, 0, 30, 0, 0, 0, 1, 
## 0, 0, 0, 7, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 
## 10, 0, 2, 14, 30, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 30, 3, 
## 0, 0, 0, 8, 0, 1, 10, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
## 0, 0, 5, 0, 0, 3, 0, 20, 0, 0, 0, 30, 3, 30, 15, 0, 0, 0, 30, 
## 0, 8, 2, 0, 0, 10, 4, 25, 1, 0, 5, 4, 1, 10, 15, 0, 0, 0, 0, 
## 3, 4, 30, 3, 0, 1, 3, 5, 30, 0, 0, 15, 10, 0, 0, 0, 0, 0, 0, 
## 0, 0, 20, 0, 30, 0, 28, 0, 20, 0, 0, 3, 30, 0, 0, 30, 0, 20, 
## 30, 0, 0, 30, 0, 30, 0, 15, 0, 0, 20, 0, 0, 0, 0, 2, 30, 20, 
## 3, 0, 0, 0, 0, 0, 2, 30, 0, 0, 30, 0, 0, 0, 30, 5, 0, 14, 20, 
## 0, 15, 0, 0, 0, 0, 2, 0, 0, 30, 0, 0, 0, 0, 1, 5, 5, 24, 0, 0, 
## 0, 0, 0, 0, 0, 18, 0, 0, 2, 1, 0, 0, 3, 0, 30, 0, 7, 0, 30, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 30, 0, 2, 0, 0, 0, 0, 30, 
## 0, 5, 0, 0, 0, 15, 0, 2, 0, 20, 0, 5, 26, 0, 0, 0, 0, 0, 0, 20, 
## 0, 0, 0, 25, 0, 0, 0, 0, 5, 0, 15, 0, 0, 30, 0, 15, 0, 0, 30, 
## 0, 0, 4, 0, 0, 0, 0, 0, 0, 30, 0, 0, 1, 0, 0, 3, 3, 0, 0, 5, 
## 0, 0, 0, 0, 30, 1, 5, 0, 0, 30, 0, 0, 0, 30, 0, 30, 0, 0, 0, 
## 2, 0, 0, 0, 25, 0, 25, 0, 3, 0, 0, 20, 0, 2, 0, 0, 5, 1, 0, 2, 
## 30, 0, 0, 7, 0, 0, 0, 0, 30, 0, 0, 4, 3, 30, 30, 2, 15, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 
## 0, 30, 0, 0, 0, 20, 10, 0, 5, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 5, 0, 0, 30, 0, 0, 22, 10, 0, 30, 3, 30, 20, 0, 0, 30, 
## 2, 30, 30, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 1, 0, 4, 
## 30, 0, 0, 0, 0, 10, 30, 0, 30, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 
## 0, 2, 0, 5, 0, 2, 0, 0, 0, 0, 0, 30, 0, 0, 30, 0, 1, 0, 0, 0, 
## 0, 0, 15, 0, 0, 0, 0, 30, 0, 0, 0, 8, 0, 0, 0, 4, 0, 30, 0, 0, 
## 0, 0, 0, 0, 0, 30, 0, 0, 5, 0, 15, 0, 30, 0, 0, 17, 0, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 30, 0, 4, 0, 0, 20, 0, 0, 0, 30, 0, 
## 0, 0, 0, 0, 1, 0, 20, 0, 12, 0, 0, 30, 0, 5, 0, 30, 3, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 4, 0, 0, 10, 0, 30, 
## 0, 0, 10, 0, 15, 0, 0, 0, 10, 0, 30, 15, 2, 0, 30, 0, 0, 0, 20, 
## 0, 0, 0, 0, 0, 30, 0, 15, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 
## 20, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 6, 
## 0, 30, 15, 0, 7, 30, 2, 10, 0, 30, 30, 0, 5, 0, 0, 0, 25, 0, 
## 0, 30, 0, 0, 2, 30, 0, 10, 0, 0, 0, 0, 5, 0, 0, 0, 0, 14, 0, 
## 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 4, 30, 0, 0, 0, 0, 
## 3, 30, 0, 0, 8, 0, 2, 10, 0, 10, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
## 20, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 0, 5, 15, 
## 0, 15, 10, 30, 0, 0, 30, 15, 0, 0, 0, 0, 0, 0, 2, 30, 0, 2, 0, 
## 0, 0, 10, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 
## 2, 2, 15, 0, 1, 4, 0, 0, 0, 30, 0, 5, 0, 0, 10, 20, 0, 0, 30, 
## 0, 15, 0, 25, 30, 0, 0, 30, 0, 30, 0, 0, 15, 0, 0, 2, 5, 2, 0, 
## 0, 0, 0, 1, 15, 0, 0, 1, 0, 0, 0, 0, 0, 10, 0, 30, 0, 0, 0, 0, 
## 0, 15, 0, 0, 30, 0, 5, 0, 15, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 3, 3, 0, 14, 0, 0, 
## 0, 2, 10, 0, 0, 0, 30, 0, 6, 10, 30, 0, 0, 30, 0, 3, 0, 0, 0, 
## 5, 8, 0, 2, 0, 30, 0, 0, 0, 0, 0, 1, 14, 0, 2, 1, 0, 6, 0, 0, 
## 6, 0, 0, 0, 5, 15, 0, 30, 0, 0, 1, 30, 0, 30, 0, 2, 0, 20, 3, 
## 0, 0, 30, 30, 8, 0, 0, 30, 0, 0, 30, 0, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 30, 30, 0, 0, 0, 30, 30, 10, 14, 0, 0, 20, 0, 0, 
## 0, 0, 0, 30, 0, 3, 0, 0, 0, 0, 0, 0, 0, 30, 0, 15, 30, 0, 12, 
## 7, 0, 0, 30, 0, 20, 30, 0, 0, 0, 30, 30, 25, 21, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 1, 0, 10, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
## 0, 0, 0, 2, 0, 0, 30, 0, 14, 0, 0, 20, 10, 15, 0, 0, 0, 15, 0, 
## 0, 0, 0, 1, 5, 0, 0, 0, 0, 11, 5, 0, 2, 0, 0, 0, 15, 0, 4, 0, 
## 30, 3, 0, 5, 0, 0, 0, 0, 10, 0, 0, 15, 2, 16, 1, 15, 2, 0, 25, 
## 30, 0, 0, 0, 0, 0, 30, 0, 0, 2, 30, 0, 0, 0, 0, 0, 0, 4, 0, 0, 
## 0, 30, 1, 0, 30, 30, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 30, 
## 3, 2, 0, 15, 20, 0, 0, 0, 2, 0, 0, 20, 30, 12, 0, 12, 10, 0, 
## 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 3, 0, 30, 5, 30, 20, 0, 0, 2, 2, 0, 15, 5, 0, 0, 2, 0, 30, 30, 
## 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 7, 0, 10, 0, 0, 0, 0, 10, 0, 0, 
## 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 15, 0, 20, 15, 29, 0, 
## 0, 30, 5, 20, 30, 20, 5, 0, 15, 0, 0, 30, 0, 30, 0, 7, 0, 5, 
## 0, 0, 0, 0, 2, 0, 0, 30, 0, 1, 15, 0, 0, 0, 0, 4, 0, 0, 1, 0, 
## 0, 0, 21, 30, 0, 0, 0, 30, 30, 2, 0, 3, 5, 0, 30, 0, 0, 0, 18, 
## 10, 0, 0, 0, 0, 9, 20, 2, 0, 12, 1, 0, 0, 0, 30, 0, 5, 0, 10, 
## 0, 0, 30, 0, 30, 0, 0, 0, 15, 1, 5, 0, 2, 15, 0, 0, 0, 5, 7, 
## 2, 20, 10, 3, 0, 2, 0, 0, 3, 0, 0, 0, 30, 0, 4, 0, 2, 0, 0, 10, 
## 0, 15, 0, 20, 0, 0, 5, 0, 30, 0, 0, 15, 0, 4, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 30, 15, 0, 0, 0, 2, 0, 0, 0, 30, 0, 3, 0, 
## 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 0, 
## 30, 5, 0, 4, 0, 0, 14, 0, 0, 0, 30, 30, 10, 14, 0, 30, 0, 2, 
## 10, 0, 0, 0, 25, 0, 0, 0, 1, 0, 0, 0, 29, 2, 2, 1, 0, 4, 0, 0, 
## 0, 0, 10, 3, 0, 0, 30, 4, 30, 0, 15, 30, 10, 0, 0, 30, 0, 0, 
## 0, 30, 3, 0, 10, 0, 0, 30, 30, 0, 0, 30, 25, 0, 0, 0, 0, 5, 0, 
## 0, 0, 0, 0, 0, 0, 0, 5, 1, 30, 5, 4, 3, 0, 30, 5, 0, 0, 0, 30, 
## 0, 10, 30, 0, 30, 15, 0, 25, 2, 0, 0, 20, 0, 0, 30, 20, 2, 25, 
## 0, 0, 30, 0, 0, 0, 0, 7, 30, 0, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 
## 0, 0, 15, 0, 0, 0, 0, 15, 0, 0, 5, 30, 0, 2, 0, 1, 0, 0, 0, 0, 
## 0, 0, 20, 0, 0, 7, 0, 0, 15, 0, 0, 0, 0, 0, 3, 0, 1, 0, 15, 0, 
## 0, 0, 6, 30, 0, 30, 0, 30, 0, 0, 0, 0, 15, 0, 27, 0, 0, 8, 5, 
## 0, 0, 5, 0, 0, 14, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 15, 0, 
## 30, 5, 0, 5, 0, 15, 6, 0, 0, 0, 29, 0, 0, 0, 0, 0, 5, 14, 7, 
## 0, 20, 30, 0, 0, 0, 2, 0, 18, 0, 0, 0, 20, 0, 0, 10, 0, 7, 0, 
## 0, 0, 0, 0, 0, 5, 10, 30, 0, 0, 0, 2, 0, 0, 5, 30, 0, 10, 0, 
## 5, 8, 1, 0, 30, 0, 0, 0, 5, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 15, 
## 0, 0, 0, 15, 0, 0, 3, 0, 0, 5, 0, 0, 0, 1, 0, 0, 30, 10, 0, 0, 
## 0, 14, 30, 0, 30, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 30, 0, 0, 10, 
## 30, 0, 0, 0, 0, 20, 0, 0, 10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 30, 30, 0, 0, 0, 0, 2, 0, 0, 30, 30, 10, 2, 0, 0, 12, 0, 0, 0, 
## 0, 5, 0, 10, 10, 0, 0, 0, 0, 0, 0, 0, 4, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 30, 10, 0, 2, 7, 0, 30, 0, 0, 0, 0, 0, 0, 0, 5, 30, 
## 0, 30, 30, 30, 5, 0, 5, 3, 0, 3, 3, 0, 0, 0, 0, 30, 0, 0, 0, 
## 10, 10, 0, 5, 14, 3, 0, 3, 0, 0, 0, 3, 2, 0, 0, 0, 0, 4, 0, 0, 
## 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 20, 3, 0, 0, 0, 0, 3, 0, 7, 30, 
## 0, 0, 15, 0, 0, 0, 0, 0, 30, 7, 25, 0, 10, 0, 0, 30, 0, 0, 3, 
## 30, 0, 30, 0, 0, 0, 2, 20, 20, 15, 8, 0, 12, 0, 0, 30, 30, 0, 
## 0, 25, 0, 0, 0, 30, 30, 0, 0, 0, 30, 30, 0, 0, 0, 0, 0, 0, 30, 
## 0, 0, 0, 3, 0, 0, 30, 2, 0, 5, 0, 0, 0, 15, 0, 1, 0, 0, 0, 30, 
## 30, 0, 0, 0, 1, 0, 0, 0, 2, 10, 0, 10, 1, 15, 5, 4, 0, 20, 0, 
## 0, 0, 10, 0, 0, 6, 0, 0, 0, 8, 0, 30, 7, 30, 30, 30, 0, 0, 0, 
## 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 15, 0, 0, 0, 30, 2, 0, 0, 0, 
## 0, 0, 15, 0, 0, 0, 5, 5, 0, 5, 0, 2, 1, 7, 0, 5, 0, 30, 30, 0, 
## 0, 30, 0, 0, 30, 0, 0, 0, 0, 10, 30, 0, 0, 0, 0, 0, 0, 0, 7, 
## 0, 0, 0, 0, 25, 0, 30, 0, 0, 0, 0, 0, 0, 3, 0, 2, 1, 30, 15, 
## 2, 0, 0, 0, 0, 0, 0, 0, 20, 30, 0, 30, 0, 30, 0, 6, 0, 0, 0, 
## 0, 0, 0, 0, 5, 0, 0, 15, 0, 0, 4, 30, 0, 0, 4, 0, 0, 0, 30, 30, 
## 0, 2, 0, 25, 0, 3, 0, 0, 0, 30, 3, 0, 5, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 3, 0, 0, 0, 0, 0, 20, 0, 10, 0, 0, 0, 0, 0, 2, 0, 10, 
## 0, 14, 0, 2, 0, 0, 0, 0, 0, 30, 0, 0, 3, 7, 0, 0, 15, 10, 0, 
## 1, 0, 10, 0, 0, 0, 0, 4, 0, 2, 0, 0, 10, 0, 0, 0, 25, 0, 0, 0, 
## 0, 0, 30, 30, 0, 6, 4, 0, 0, 30, 0, 1, 5, 1, 0, 0, 30, 0, 0, 
## 15, 3, 0, 3, 10, 3, 0, 5, 10, 30, 2, 0, 0, 0, 0, 2, 1, 0, 1, 
## 30, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 5, 10, 4, 7, 0, 0, 0, 0, 3, 
## 0, 18, 0, 2, 3, 30, 7, 0, 2, 20, 10, 0, 0, 0, 3, 14, 0, 0, 0, 
## 0, 5, 0, 0, 0, 0, 0, 0, 30, 0, 0, 14, 0, 0, 4, 0, 10, 30, 0, 
## 0, 5, 0, 0, 0, 0, 0, 0, 0, 16, 6, 0, 0, 0, 0, 0, 30, 30, 20, 
## 0, 0, 10, 0, 30, 0, 15, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 30, 0, 
## 5, 30, 0, 0, 25, 0, 4, 3, 0, 0, 0, 0, 30, 0, 0, 0, 0, 10, 0, 
## 0, 30, 0, 0, 30, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 
## 0, 10, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 30, 0, 0, 0, 
## 3, 3, 3, 30, 0, 0, 0, 0, 10, 0, 0, 20, 15, 30, 0, 0, 0, 0, 30, 
## 0, 0, 30, 30, 0, 30, 0, 0, 0, 0, 20, 1, 0, 20, 30, 0, 0, 0, 15, 
## 0, 30, 2, 0, 0, 0, 30, 0, 2, 0, 0, 0, 15, 0, 0, 0, 30, 0, 30, 
## 2, 15, 10, 0, 10, 0, 30, 30, 0, 30, 0, 0, 0, 0, 0, 30, 0, 0, 
## 30, 30, 0, 0, 0, 0, 0, 30, 29, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
## 0, 0, 10, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 
## 30, 20, 1, 0, 3, 0, 0, 0, 0, 5, 0, 1, 0, 0, 4, 0, 0, 30, 0, 0, 
## 15, 15, 14, 0, 28, 3, 0, 0, 0, 1, 0, 15, 0, 30, 0, 3, 0, 0, 0, 
## 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 30, 30, 2, 2, 0, 
## 0, 0, 30, 2, 0, 0, 20, 6, 0, 10, 0, 0, 0, 0, 0, 2, 30, 0, 1, 
## 0, 0, 1, 1, 0, 0, 0, 0, 0, 5, 0, 25, 0, 0, 0, 0, 0, 0, 0, 2, 
## 21, 0, 0, 0, 0, 2, 0, 30, 0, 30, 1, 0, 30, 30, 0, 30, 0, 0, 0, 
## 0, 0, 0, 4, 2, 3, 5, 0, 10, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 30, 30, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 10, 0, 0, 0, 4, 0, 0, 
## 0, 2, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 14, 0, 0, 10, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 30, 30, 0, 1, 0, 0, 0, 0, 30, 0, 1, 0, 12, 0, 0, 30, 
## 0, 0, 30, 0, 1, 0, 3, 0, 0, 20, 30, 0, 0, 0, 2, 0, 0, 0, 0, 15, 
## 12, 30, 0, 0, 15, 14, 0, 0, 0, 10, 0, 0, 0, 5, 2, 0, 10, 0, 2, 
## 0, 15, 15, 20, 5, 0, 0, 0, 30, 15, 0, 0, 0, 0, 0, 10, 0, 10, 
## 0, 0, 0, 2, 15, 15, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
## 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 
## 3, 1, 30, 0, 0, 30, 3, 0, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 
## 15, 4, 0, 0, 0, 10, 30, 7, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 
## 20, 10, 0, 0, 25, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 15, 0, 30, 30, 15, 0, 0, 
## 0, 10, 0, 9, 3, 30, 2, 30, 10, 3, 0, 1, 0, 10, 15, 0, 5, 0, 0, 
## 0, 7, 0, 0, 5, 0, 0, 15, 4, 0, 0, 0, 4, 4, 6, 20, 0, 30, 0, 0, 
## 0, 30, 0, 0, 1, 5, 0, 0, 30, 0, 0, 0, 0, 0, 7, 20, 1, 0, 0, 0, 
## 15, 5, 0, 30, 0, 0, 30, 0, 0, 2, 2, 0, 0, 0, 0, 3, 10, 0, 5, 
## 3, 0, 0, 0, 15, 0, 0, 0, 5, 0, 0, 0, 2, 0, 15, 0, 0, 0, 30, 0, 
## 0, 0, 0, 0, 20, 0, 0, 0, 0, 7, 0, 0, 0, 0, 15, 0, 0, 0, 30, 0, 
## 0, 0, 0, 20, 30, 0, 0, 30, 0, 0, 0, 0, 0, 3, 3, 10, 0, 0, 0, 
## 30, 30, 15, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 10, 0, 15, 20, 0, 5, 
## 30, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 10, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 5, 0, 25, 0, 5, 0, 0, 30, 0, 15, 0, 0, 7, 1, 0, 
## 30, 0, 3, 0, 0, 0, 0, 0, 0, 10, 30, 10, 15, 15, 3, 0, 30, 0, 
## 15, 0, 0, 0, 0, 30, 30, 0, 30, 0, 1, 0, 1, 0, 4, 0, 30, 10, 0, 
## 2, 0, 0, 0, 0, 0, 10, 15, 0, 0, 28, 5, 0, 2, 10, 30, 30, 0, 2, 
## 0, 0, 15, 20, 3, 0, 10, 0, 0, 0, 20, 0, 0, 0, 0, 15, 0, 15, 30, 
## 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 15, 0, 15, 5, 20, 0, 20, 10, 0, 
## 30, 0, 30, 5, 0, 0, 0, 30, 0, 0, 0, 15, 20, 0, 0, 15, 0, 0, 30, 
## 0, 0, 0, 0, 15, 0, 0, 0, 5, 0, 0, 0, 0, 0, 3, 0, 5, 3, 3, 0, 
## 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 30, 
## 30, 0, 30, 0, 0, 0, 0, 0, 5, 14, 0, 30, 0, 10, 10, 7, 0, 0, 0, 
## 0, 0, 15, 0, 0, 0, 15, 5, 0, 15, 0, 0, 0, 30, 30, 0, 30, 0, 0, 
## 0, 0, 0, 0, 0, 0, 2, 0, 30, 30, 7, 10, 0, 0, 0, 30, 30, 0, 0, 
## 0, 0, 2, 4, 30, 0, 0, 0, 0, 3, 21, 30, 0, 10, 0, 0, 0, 0, 1, 
## 30, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 10, 0, 0, 
## 0, 30, 0, 0, 10, 0, 3, 0, 0, 0, 30, 2, 12, 0, 0, 28, 0, 0, 0, 
## 0, 15, 0, 4, 0, 0, 10, 0, 3, 0, 0, 10, 0, 0, 0, 0, 5, 2, 0, 0, 
## 0, 0, 0, 3, 0, 16, 2, 0, 0, 0, 0, 4, 10, 0, 0, 0, 0, 0, 0, 0, 
## 30, 0, 2, 5, 0, 0, 0, 0, 15, 2, 0, 25, 0, 10, 30, 0, 0, 30, 0, 
## 0, 0, 30, 0, 0, 0, 0, 0, 2, 0, 0, 20, 0, 0, 0, 0, 25, 30, 2, 
## 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 2, 10, 0, 0, 0, 0, 0, 
## 0, 0, 15, 1, 0, 30, 10, 0, 30, 0, 5, 1, 0, 0, 0, 0, 0, 5, 10, 
## 0, 0, 0, 0, 0, 0, 10, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 30, 0, 
## 3, 0, 0, 0, 10, 0, 7, 20, 0, 0, 0, 10, 0, 0, 15, 20, 4, 0, 0, 
## 0, 30, 8, 3, 30, 0, 0, 1, 25, 1, 0, 3, 3, 0, 0, 0, 5, 0, 4, 30, 
## 0, 0, 0, 30, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 
## 0, 0, 30, 0, 0, 0, 0, 0, 2, 5, 30, 0, 2, 0, 0, 7, 5, 0, 0, 2, 
## 0, 30, 0, 0, 4, 2, 14, 30, 0, 0, 0, 2, 7, 0, 7, 2, 0, 0, 0, 2, 
## 30, 0, 0, 0, 0, 0, 0, 3, 0, 0, 7, 0, 0, 0, 0, 30, 5, 0, 30, 0, 
## 0, 0, 0, 2, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 25, 0, 0, 
## 3, 30, 0, 0, 5, 30, 0, 0, 30, 3, 30, 0, 21, 30, 0, 0, 0, 0, 3, 
## 0, 0, 20, 30, 0, 0, 0, 0, 5, 0, 0, 0, 15, 0, 0, 0, 1, 5, 0, 0, 
## 0, 0, 5, 0, 0, 0, 0, 0, 3, 10, 30, 0, 0, 0, 0, 30, 0, 0, 0, 0, 
## 20, 20, 0, 0, 0, 1, 25, 0, 10, 0, 0, 20, 30, 12, 0, 0, 0, 0, 
## 0, 3, 30, 0, 20, 0, 0, 0, 15, 0, 5, 2, 0, 30, 0, 30, 10, 30, 
## 0, 0, 0, 0, 0, 20, 0, 0, 20, 0, 0, 0, 0, 0, 5, 5, 15, 30, 5, 
## 0, 30, 1, 2, 0, 0, 0, 4, 15, 10, 0, 0, 0, 0, 0, 0, 0, 30, 7, 
## 0, 0, 10, 2, 0, 0, 0, 3, 0, 30, 0, 0, 0, 0, 0, 12, 0, 0, 10, 
## 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 7, 0, 0, 10, 0, 10, 0, 7, 
## 0, 30, 0, 0, 2, 4, 15, 1, 0, 0, 7, 15, 0, 0, 0, 30, 5, 0, 0, 
## 0, 10, 0, 10, 0, 3, 0, 30, 0, 2, 0, 10, 15, 0, 0, 0, 2, 15, 0, 
## 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 1, 10, 0, 0, 0, 0, 0, 30, 1, 30, 
## 0, 5, 0, 0, 0, 0, 0, 0, 15, 0, 30, 0, 0, 30, 0, 0, 0, 0, 0, 0, 
## 0, 7, 0, 0, 0, 30, 3, 3, 0, 0, 5, 0, 0, 0, 0, 0, 0, 30, 0, 10, 
## 30, 0, 0, 3, 2, 15, 2, 0, 10, 15, 0, 3, 0, 3, 0, 0, 0, 0, 12, 
## 0, 30, 2, 0, 10, 5, 0, 5, 5, 25, 0, 0, 0, 10, 0, 0, 0, 0, 5, 
## 0, 0, 0, 0, 12, 1, 0, 11, 0, 30, 0, 0, 0, 4, 30, 0, 2, 0, 0, 
## 7, 0, 20, 0, 30, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 4, 10, 0, 0, 
## 30, 0, 20, 0, 0, 0, 5, 0, 20, 0, 0, 0, 29, 0, 0, 0, 0, 0, 0, 
## 0, 0, 30, 0, 3, 0, 0, 15, 15, 30, 0, 30, 30, 20, 4, 0, 0, 0, 
## 0, 0, 0, 0, 30, 0, 0, 0, 2, 0, 3, 0, 0, 0, 10, 2, 0, 0, 0, 30, 
## 0, 0, 0, 0, 0, 1, 0, 2, 0, 10, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 30, 15, 30, 3, 0, 0, 0, 30, 0, 0, 25, 0, 0, 0, 0, 0, 3, 
## 0, 30, 2, 30, 0, 0, 30, 29, 0, 0, 0, 0, 2, 15, 0, 0, 0, 1, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 7, 30, 0, 15, 2, 0, 0, 4, 5, 0, 
## 0, 0, 7, 0, 0, 0, 1, 10, 0, 14, 0, 0, 0, 30, 30, 0, 0, 0, 0, 
## 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 30, 0, 0, 0, 30, 0, 1, 0, 
## 0, 20, 0, 10, 8, 0, 0, 0, 0, 15, 0, 0, 0, 15, 0, 3, 25, 0, 0, 
## 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 30, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
## 2, 4, 30, 0, 0, 0, 20, 0, 15, 15, 30, 0, 0, 0, 0, 0, 0, 1, 0, 
## 4, 0, 1, 0, 5, 2, 30, 3, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 10, 0, 0, 4, 0, 0, 0, 5, 0, 30, 0, 0, 15, 30, 10, 
## 30, 0, 7, 4, 0, 0, 30, 0, 0, 0, 20, 0, 0, 5, 0, 8, 30, 0, 15, 
## 0, 0, 0, 0, 0, 0, 7, 30, 0, 0, 15, 15, 15, 0, 5, 0, 0, 0, 0, 
## 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 30, 5, 0, 30, 0, 8, 0, 0, 0, 0, 
## 30, 2, 0, 0, 0, 0, 0, 0, 2, 0, 20, 5, 10, 0, 0, 2, 0, 25, 0, 
## 30, 0, 2, 0, 0, 30, 5, 0, 0, 0, 2, 0, 5, 0, 2, 0, 0, 30, 2, 0, 
## 0, 30, 0, 0, 0, 15, 0, 0, 0, 0, 0, 8, 30, 1, 0, 0, 10, 0, 0, 
## 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 3, 21, 3, 5, 15, 0, 0, 0, 
## 0, 0, 0, 0, 30, 30, 0, 15, 0, 0, 2, 0, 0, 0, 5, 0, 30, 30, 0, 
## 0, 10, 0, 0, 0, 15, 0, 0, 5, 0, 30, 10, 0, 0, 7, 0, 0, 0, 0, 
## 0, 1, 0, 30, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 20, 0, 0, 1, 0, 2, 0, 0, 0, 8, 0, 0, 30, 0, 
## 1, 0, 0, 2, 0, 0, 0, 6, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 30, 0, 0, 0, 15, 0, 15, 0, 0, 0, 0, 6, 12, 2, 0, 0, 
## 10, 1, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 30, 0, 
## 0, 30, 0, 0, 30, 0, 30, 30, 2, 0, 20, 0, 0, 0, 7, 0, 0, 0, 0, 
## 0, 2, 0, 0, 7, 30, 1, 0, 10, 0, 5, 0, 0, 0, 0, 0, 0, 15, 0, 0, 
## 0, 0, 30, 0, 0, 30, 0, 0, 0, 14, 20, 25, 0, 0, 0, 0, 30, 15, 
## 20, 0, 0, 10, 10, 4, 1, 0, 0, 0, 20, 0, 0, 0, 7, 0, 0, 30, 15, 
## 30, 15, 0, 0, 6, 0, 0, 0, 30, 10, 0, 0, 2, 0, 0, 10, 0, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 
## 4, 0, 1, 30, 0, 0, 0, 0, 5, 30, 30, 30, 8, 4, 0, 0, 10, 0, 0, 
## 0, 0, 0, 0, 0, 30, 15, 0, 0, 0, 0, 0, 25, 0, 0, 0, 2, 7, 0, 0, 
## 0, 28, 0, 0, 0, 0, 30, 0, 25, 0, 0, 0, 29, 0, 10, 2, 0, 0, 0, 
## 30, 0, 0, 0, 30, 30, 0, 0, 0, 0, 0, 5, 5, 2, 0, 5, 1, 0, 12, 
## 30, 0, 0, 7, 0, 2, 0, 30, 0, 0, 0, 0, 0, 0, 30, 30, 5, 0, 0, 
## 0, 0, 0, 0, 0, 2, 15, 1, 3, 0, 0, 0, 30, 0, 0, 0, 0, 0, 30, 0, 
## 0, 2, 0, 0, 1, 0, 0, 0, 0, 15, 0, 0, 0, 0, 30, 0, 2, 0, 30, 0, 
## 0, 20, 0, 5, 1, 0, 0, 2, 3, 0, 2, 0, 0, 25, 30, 0, 0, 0, 10, 
## 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 10, 5, 0, 0, 
## 0, 15, 0, 10, 30, 30, 0, 3, 0, 0, 30, 0, 0, 0, 0, 8, 1, 10, 30, 
## 0, 0, 0, 0, 0, 30, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 2, 0, 
## 0, 10, 3, 0, 0, 0, 0, 1, 7, 30, 0, 0, 7, 12, 4, 0, 0, 0, 15, 
## 0, 2, 2, 0, 0, 0, 10, 0, 0, 30, 10, 0, 3, 5, 0, 0, 0, 0, 5, 20, 
## 15, 30, 0, 0, 0, 0, 5, 4, 0, 2, 25, 3, 0, 7, 0, 5, 30, 2, 2, 
## 0, 0, 0, 30, 3, 5, 0, 0, 0, 0, 15, 0, 0, 5, 0, 5, 0, 0, 0, 30, 
## 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 15, 27, 
## 1, 0, 0, 20, 0, 30, 0, 20, 10, 0, 0, 10, 30, 20, 30, 10, 30, 
## 30, 1, 2, 10, 14, 25, 0, 0, 0, 15, 0, 0, 0, 0, 10, 0, 15, 0, 
## 0, 4, 5, 10, 0, 0, 0, 0, 0, 30, 0, 0, 5, 0, 2, 20, 0, 0, 0, 0, 
## 0, 0, 11, 0, 0, 30, 0, 10, 0, 0, 5, 0, 0, 0, 0, 15, 0, 10, 0, 
## 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 28, 15, 0, 0, 1, 10, 10, 0, 0, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 10, 
## 0, 10, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 10, 0, 
## 15, 4, 0, 7, 0, 0, 0, 25, 15, 15, 0, 0, 0, 5, 0, 3, 10, 0, 0, 
## 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 7, 0, 0, 0, 7, 5, 0, 5, 30, 
## 0, 0, 0, 30, 30, 0, 0, 0, 0, 8, 10, 0, 0, 3, 0, 0, 2, 5, 0, 0, 
## 5, 30, 15, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 0, 
## 0, 0, 0, 18, 0, 30, 0, 0, 0, 30, 0, 29, 0, 0, 30, 0, 0, 0, 0, 
## 15, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 
## 2, 0, 0, 5, 0, 2, 0, 3, 4, 5, 27, 1, 0, 30, 20, 15, 1, 0, 0, 
## 0, 0, 4, 30, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, 5, 15, 
## 0, 2, 0, 20, 0, 0, 5, 20, 0, 0, 0, 5, 10), c(0, 0, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 
## 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
## 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
## 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
## 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 
## 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
## 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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## 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
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## 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
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##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
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##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
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##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
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##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 
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##     1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
##     1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 
##     1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 
##     1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
##     1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 
##     1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
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##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 
##     1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1), c(1, 1, 1, 0, 1, 
##     0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 
##     1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 
##     0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 
##     1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 
##     1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 
##     0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 
##     1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 
##     0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 
##     1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
##     1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 
##     0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 
##     1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 
##     1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 
##     0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 
##     1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 
##     0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 
##     1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
##     1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 
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##     1.65, 1.83, 1.68, 1.83, 1.75, 1.57, 1.65, 1.7, 1.83, 1.83, 
##     1.78, 1.88, 1.73, 1.68, 1.78, 1.78, 1.83, 1.63, 1.75, 1.65, 
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##     1.68, 1.73, 1.75, 1.52, 1.91, 1.63, 1.73, 1.88, 1.63, 1.78, 
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##     1.83, 1.6, 1.65, 1.6, 1.5, 1.57, 1.83, 1.6, 1.78, 1.6, 2.01, 
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##     1.65, 1.96, 1.78, 1.8, 1.52, 1.68, 1.78, 1.63, 1.83, 1.65, 
##     1.5, 1.68, 1.8, 1.78, 1.7, 1.55, 1.65, 1.68, 1.63, 1.83, 
##     1.65, 1.7, 1.55, 1.63, 1.7, 2.01, 1.63, 1.68, 1.83, 1.73, 
##     1.73, 1.93, 1.75, 1.73, 1.8, 1.83, 1.65, 1.8, 1.83, 1.65, 
##     1.68, 1.68, 1.55, 1.75, 1.57, 1.63, 1.8, 1.68, 1.78, 1.8, 
##     1.6, 1.65, 1.68, 1.75, 1.57, 1.7, 1.63, 1.73, 1.47, 1.88, 
##     1.7, 1.7, 1.75, 1.7, 1.83, 1.68, 1.83, 1.65, 1.6, 1.75, 1.65, 
##     1.6, 1.8, 1.63, 1.68, 1.6, 1.7, 1.75, 1.85, 1.8, 1.57, 1.8, 
##     1.78, 1.83, 1.7, 1.73, 1.57, 1.75, 1.7, 1.55, 1.65, 1.75, 
##     1.65, 1.57, 1.45, 1.83, 1.63, 1.8, 1.73, 1.65, 1.63, 1.78, 
##     1.55, 1.85, 1.63, 1.66, 1.63, 1.78, 1.78, 1.65, 1.78, 1.93, 
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##     1.78, 1.68, 1.7, 1.57, 1.78, 1.6, 1.78, 1.57, 1.63, 1.73, 
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##     1.7, 1.63, 1.7, 1.68, 1.83, 1.7, 1.55, 1.8, 1.68, 1.73, 1.7, 
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##     1.73, 1.68, 1.85, 1.57, 1.55, 1.52, 1.75, 1.88, 1.75, 1.83, 
##     1.65, 1.68, 1.6, 1.68, 1.68, 1.68, 1.93, 1.63, 1.63, 1.5, 
##     1.98, 1.83, 1.8, 1.6, 1.75, 1.52, 1.85, 1.85, 1.63, 1.6, 
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##     1.75, 1.73, 1.75, 1.91, 1.63, 1.68, 1.73, 1.55, 1.68, 1.68, 
##     1.73, 1.68, 1.78, 1.83, 1.7, 1.7, 1.96, 1.8, 1.63, 1.93, 
##     1.8, 1.68, 1.68, 1.75, 1.78, 1.55, 1.78, 1.75, 1.63, 1.8, 
##     1.6, 1.7, 1.83, 1.98, 1.75, 1.75, 1.57, 1.8, 1.83, 1.5, 1.78, 
##     1.68, 1.83, 1.63, 1.63, 1.85, 1.83, 1.83, 1.65, 1.78, 1.57, 
##     1.78, 1.57, 1.68, 1.65, 1.52, 1.47, 1.7, 1.75, 1.7, 1.52, 
##     1.85, 1.55, 1.78, 1.6, 1.65, 1.55, 1.73, 1.83, 1.6, 1.75, 
##     1.45, 1.7, 1.5, 1.73, 1.55, 1.68, 1.93, 1.83, 1.52, 1.52, 
##     1.7, 1.6, 1.75, 1.78, 1.96, 1.57, 1.52, 1.73, 1.57, 1.55, 
##     1.73, 1.78, 1.78, 1.57, 1.68, 1.96, 1.73, 1.85, 1.6, 1.75, 
##     1.75, 1.75, 1.55, 1.47, 1.78, 1.8, 1.65, 1.83, 1.75, 1.65, 
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##     1.68, 1.63, 1.88, 1.73, 1.78, 1.7, 1.73, 1.88, 1.83, 1.78, 
##     1.55, 1.78, 1.78, 1.78, 1.68, 1.8, 1.6, 1.7, 1.88, 1.65, 
##     1.65, 1.7, 1.6, 1.85, 1.65, 1.52, 1.91, 1.83, 1.88, 1.6, 
##     1.83, 1.83, 1.78, 1.65, 1.52, 1.63, 1.85, 1.8, 1.78, 1.75, 
##     1.91, 1.6, 1.68, 1.68, 1.55, 1.78, 1.57, 1.93, 1.63, 1.57, 
##     1.57, 1.83, 1.7, 1.83, 1.65, 1.6, 1.57, 1.75, 1.68, 1.63, 
##     1.68, 1.65, 1.85, 1.55, 1.75, 1.88, 1.88, 1.68, 1.52, 1.73, 
##     1.7, 1.7, 1.63, 1.55, 1.78, 1.6, 1.83, 1.83, 1.68, 1.73, 
##     1.83, 1.68, 1.55, 1.73, 1.88, 1.52, 1.68, 1.5, 1.57, 1.65, 
##     1.52, 1.22, 1.8, 1.65, 1.52, 1.65, 1.6, 1.8, 1.68, 1.73, 
##     1.55, 1.5, 1.6, 1.57, 1.68, 1.8, 1.52, 1.68, 1.73, 1.5, 1.73, 
##     1.7, 1.83, 1.85, 1.7, 1.6, 1.7, 1.7, 1.63, 1.65, 1.88, 1.65, 
##     1.78, 1.6, 1.68, 1.65, 1.75, 1.8, 1.73, 1.73, 1.57, 1.73, 
##     1.6, 1.83, 1.6, 1.65, 1.68, 1.63, 1.6, 1.78, 1.8, 1.52, 1.83, 
##     1.88, 1.8, 1.85, 1.65, 1.83, 1.67, 1.55, 1.88, 1.8, 1.83, 
##     1.88, 1.78, 1.93, 1.73, 1.6, 1.63, 1.55, 1.57, 1.73, 1.73, 
##     1.63, 1.57, 1.7, 1.63, 1.65, 1.83, 1.7, 1.57, 1.63, 1.73, 
##     1.73, 1.6, 1.6, 1.57, 1.65, 1.85, 1.63, 1.65, 1.65, 1.63, 
##     1.52, 1.65, 1.75, 1.68, 1.52, 1.6, 1.78, 1.7, 1.75, 1.8, 
##     1.63, 1.6, 1.85, 1.75, 1.65, 1.83, 1.73, 1.55, 1.7, 1.88, 
##     1.52, 1.65, 1.75, 1.68, 1.68, 1.52, 1.68, 1.57, 1.83, 1.85, 
##     1.65, 1.57, 1.55, 1.68, 1.6, 1.65, 1.68, 1.47, 1.52, 1.55, 
##     1.73, 1.73, 1.63, 1.6, 1.65, 1.83, 1.88, 1.63, 1.63, 1.7, 
##     1.73, 1.8, 1.65, 1.68, 1.6, 1.7, 1.8, 1.75, 1.57, 1.85, 1.73, 
##     1.6, 1.88, 1.75, 1.78, 1.73, 1.57, 1.8, 1.98, 1.73, 1.75, 
##     1.8, 1.75, 1.78, 1.83, 1.68, 1.83, 1.7, 1.57, 1.8, 1.65, 
##     1.63, 1.65, 1.65, 1.85, 1.83, 1.7, 1.57, 1.75, 1.85, 1.78, 
##     1.63, 1.68, 1.8, 1.73, 1.63, 1.65, 1.78, 1.65, 1.63, 1.83, 
##     1.7, 1.57, 1.85, 1.6, 1.52, 1.52, 1.85, 1.57, 1.65, 1.8, 
##     1.68, 1.73, 1.78, 1.65, 1.7, 1.78, 1.6, 1.75, 1.75, 1.8, 
##     1.6, 1.73, 1.73, 1.8, 1.8, 1.57, 1.68, 1.85, 1.8, 1.57, 1.65, 
##     1.7, 1.57, 1.88, 1.6, 1.65, 1.52, 1.52, 1.73, 1.7, 1.75, 
##     1.6, 1.78, 1.68, 1.57, 1.65, 1.88, 1.8, 1.7, 1.8, 1.75, 1.83, 
##     1.68, 1.83, 1.55, 1.73, 1.85, 1.8, 1.8, 1.85, 1.65, 1.5, 
##     1.55, 1.68, 1.98, 1.75, 1.65, 1.57, 1.63, 1.7, 1.8, 1.52, 
##     1.7, 1.63, 1.75, 1.68, 1.7, 1.68, 1.73, 1.78, 1.52, 1.57, 
##     1.78, 1.7, 1.8, 1.68, 1.83, 1.52, 1.88, 1.83, 1.75, 1.85, 
##     1.85, 1.5, 1.8, 1.7, 1.63, 1.78, 1.7, 1.63, 1.85, 1.8, 1.83, 
##     1.63, 1.68, 1.8, 1.57, 1.96, 1.83, 1.7, 1.78, 1.75, 1.57, 
##     1.7, 1.83, 1.6, 1.65, 1.7, 1.57, 1.57, 1.63, 1.73, 1.75, 
##     1.65, 1.7, 1.55, 1.52, 1.75, 1.65, 1.65, 1.91, 1.78, 1.78, 
##     1.73, 1.78, 1.73, 1.91, 1.73, 1.52, 1.6, 1.55, 1.68, 1.63, 
##     1.78, 1.7, 1.85, 1.5, 1.78, 1.78, 1.75, 1.63, 1.98, 1.63, 
##     1.8, 1.7, 1.73, 1.6, 1.8, 1.68, 1.78, 1.63, 1.57, 1.68, 1.73, 
##     1.7, 1.75, 1.63, 1.57, 1.88, 1.68, 1.63, 1.68, 1.65, 1.7, 
##     1.57, 1.88, 1.8, 1.83, 1.73, 1.78, 1.78, 1.8, 1.98, 1.7, 
##     1.57, 1.65, 1.57, 1.57, 1.78, 1.65, 1.75, 1.75, 1.75, 1.55, 
##     1.75, 1.83, 1.78, 1.75, 1.57, 1.7, 1.91, 1.75, 1.63, 1.8, 
##     1.63, 1.6, 1.73, 1.85, 1.57, 1.68, 1.55, 1.83, 2.03, 1.85, 
##     1.8, 1.73, 1.83, 1.78, 1.65, 1.73, 1.63, 1.8, 1.7, 1.68, 
##     1.47, 1.7, 1.7, 1.55, 1.7, 1.8, 1.7, 1.78, 1.68, 1.57, 1.52, 
##     1.65, 1.93, 1.65, 1.52, 1.5, 1.83, 1.52, 1.68, 1.68, 1.91, 
##     1.75, 1.75, 1.7, 1.8, 1.63, 1.68, 1.73, 1.68, 1.85, 1.83, 
##     1.52, 1.57, 1.5, 1.63, 1.63, 1.78, 1.7, 1.55, 1.73, 1.6, 
##     1.65, 1.85, 1.57, 1.47, 1.78, 1.78, 1.7, 1.57, 1.73, 1.55, 
##     1.6, 1.91, 1.8, 1.75, 1.73, 1.83, 1.78, 1.8, 1.91, 1.57, 
##     1.83, 1.65, 1.7, 1.85, 1.63, 1.73, 1.52, 1.78, 1.91, 1.78, 
##     1.68, 1.78, 1.6, 1.63, 1.85, 1.75, 1.78, 1.63, 1.68, 1.55, 
##     1.88, 1.6, 1.88, 1.63, 1.78, 1.65, 1.6, 1.68, 1.75, 1.68, 
##     1.6, 1.57, 1.75, 1.91, 1.7, 1.73, 1.5, 1.73, 1.88, 1.63, 
##     1.57, 1.8, 1.63, 1.83, 1.7, 1.57, 1.73, 1.7, 1.68, 1.85, 
##     1.75, 1.78, 1.6, 1.8, 1.93, 1.8, 1.57, 1.63, 1.8, 1.75, 1.65, 
##     1.8, 1.6, 1.7, 1.8, 1.5, 1.6, 1.6, 1.65, 1.63, 1.68, 1.57, 
##     1.68, 1.85, 1.83, 1.88, 1.7, 1.65, 1.73, 1.68, 1.63, 1.78, 
##     1.68, 1.57, 1.88, 1.85, 1.73, 1.83, 1.63, 1.8, 1.68, 1.88, 
##     1.35, 1.7, 1.6, 1.75, 1.85, 1.78, 1.7, 1.68, 1.63, 1.83, 
##     1.8, 1.68, 1.52, 1.68, 1.75, 1.65, 1.78, 1.91, 1.83, 1.8, 
##     1.68, 1.78, 1.85, 1.68, 1.91, 1.75, 1.57, 1.75, 1.96, 1.83, 
##     1.65, 1.8, 1.7, 1.73, 1.65, 1.75, 1.73, 1.63, 1.57, 1.83, 
##     1.93, 1.8, 1.85, 1.7, 1.75, 1.55, 1.68, 1.47, 1.73, 1.52, 
##     1.63, 1.57, 1.63, 1.55, 1.78, 1.63, 1.83, 1.6, 1.83, 1.63, 
##     1.63, 1.63, 1.7, 1.78, 1.63, 1.52, 1.73, 1.63, 1.85, 1.7, 
##     1.7, 1.68, 1.68, 1.68, 1.75, 1.7, 1.83, 1.68, 1.83, 1.88, 
##     1.57, 1.63, 1.83, 1.85, 1.8, 1.57, 1.75, 1.75, 1.7, 1.68, 
##     1.75, 1.52, 1.8, 1.52, 1.68, 1.63, 1.85, 1.88, 1.8, 1.7, 
##     1.65, 1.8, 1.8, 1.65, 1.8, 1.68, 1.7, 1.6, 1.52, 1.6, 1.65, 
##     1.7, 1.68, 1.65, 1.73, 1.57, 1.85, 1.8, 1.57, 1.68, 1.73, 
##     1.75, 1.75, 1.63, 1.57, 1.63, 1.83, 1.8, 1.78, 1.98, 1.7, 
##     1.63, 1.73, 1.7, 1.78, 1.8, 1.78, 1.65, 1.57, 1.73, 1.65, 
##     1.7, 1.91, 1.78, 1.7, 1.57, 1.73, 1.8, 1.7, 1.65, 1.63, 1.6, 
##     1.55, 1.78, 1.83, 1.68, 1.57, 1.8, 1.75, 1.75, 1.8, 1.75, 
##     1.91, 1.7, 1.78, 1.57, 1.78, 1.52, 1.83, 1.57, 1.85, 1.52, 
##     1.57, 1.73, 1.8, 1.63, 1.8, 1.52, 1.57, 1.65, 1.83, 1.63, 
##     1.83, 1.78, 1.68, 1.7, 1.75, 1.55, 1.57, 1.68, 1.65, 1.8, 
##     1.75, 1.75, 1.5, 1.5, 1.83, 1.73, 1.57, 1.85, 1.7, 1.78, 
##     1.73, 1.78, 1.73, 1.55, 1.7, 1.63, 1.75, 1.78, 1.57, 1.6, 
##     1.55, 1.73, 1.68, 1.55, 1.57, 1.57, 1.75, 1.65, 1.6, 1.65, 
##     1.88, 1.8, 1.83, 1.7, 1.68, 1.75, 1.65, 1.57, 1.83, 1.75, 
##     1.8, 1.73, 1.75, 1.63, 1.96, 1.8, 1.73, 1.85, 1.65, 1.75, 
##     1.7, 1.6, 1.63, 1.73, 1.73, 1.6, 1.78, 1.5, 1.6, 1.68, 1.73, 
##     1.73, 1.68, 1.57, 1.65, 1.55, 1.65, 1.63, 1.68, 1.7, 1.63, 
##     1.57, 1.78, 1.93, 1.68, 1.52, 1.78, 1.83, 1.7, 1.68, 1.6, 
##     1.75, 1.8, 1.85, 1.73, 1.75, 1.6, 1.65, 1.85, 1.6, 1.83, 
##     1.83, 1.65, 1.55, 1.73, 1.75, 1.73, 1.83, 1.83, 1.75, 1.57, 
##     1.57, 1.63, 1.63, 1.73, 1.57, 1.63, 1.88, 1.7, 1.65, 1.52, 
##     1.5, 1.6, 1.78, 1.75, 1.65, 1.7, 1.35, 1.73, 1.88, 1.63, 
##     1.57, 1.73, 1.83, 1.85, 1.83, 1.65, 1.68, 1.73, 1.73, 1.78, 
##     1.78, 1.68, 1.63, 1.52, 1.6, 1.68, 1.55, 1.75, 1.85, 1.75, 
##     1.57, 1.63, 1.57, 1.7, 1.78, 1.8, 1.52, 1.6, 1.73, 1.65, 
##     1.78, 1.65, 1.6, 1.7, 1.75, 1.7, 1.57, 1.8, 1.52, 1.63, 1.68, 
##     1.73, 1.88, 1.52, 1.8, 1.78, 1.6, 1.7, 1.7, 1.65, 1.63, 1.7, 
##     1.78, 1.65, 1.78, 1.83, 1.83, 1.7, 1.75, 1.68, 1.73, 1.75, 
##     1.7, 1.83, 1.7, 1.63, 1.63, 1.73, 1.55, 1.6, 1.6, 1.73, 1.63, 
##     1.8, 1.7, 1.73, 1.57, 1.6, 1.83, 1.8, 1.63, 1.45, 1.8, 1.63, 
##     1.65, 1.8, 1.68, 1.55, 1.55, 1.6, 1.65, 1.63, 1.68, 1.68, 
##     1.75, 1.65, 1.63, 1.65, 1.73, 1.57, 1.68, 1.52, 1.68, 1.78, 
##     1.73, 1.5, 1.78, 1.75, 1.78, 1.75, 1.68, 1.63, 1.6, 1.57, 
##     1.68, 1.57, 1.73, 1.68, 1.68, 1.57, 1.68, 1.83, 1.68, 1.88, 
##     1.83, 1.7, 1.68, 1.57, 1.68, 1.85, 1.6, 1.7, 1.7, 1.57, 1.78, 
##     1.7, 1.57, 1.83, 1.57, 1.63, 1.68, 1.68, 1.65, 1.88, 1.6, 
##     1.63, 1.8, 1.57, 1.75, 1.6, 1.73, 1.7, 1.73, 1.68, 1.63, 
##     1.68, 1.63, 1.52, 1.65, 1.73, 1.7, 1.6, 1.78, 1.78, 1.78, 
##     1.57, 1.63, 1.7, 1.88, 1.75, 1.6, 1.83, 1.73, 1.68, 1.78, 
##     1.88, 1.6, 1.78, 1.65, 1.63, 1.78, 1.85, 1.7, 1.8, 1.57, 
##     1.68, 1.7, 1.83, 1.68, 1.68, 1.93, 1.52, 1.8, 1.78, 1.63, 
##     1.7, 1.65, 1.73, 1.65, 1.75, 1.63, 1.93, 1.57, 1.7, 1.88, 
##     1.68, 1.8, 1.78, 1.83, 1.6, 1.57, 1.73, 1.73, 1.63, 1.83, 
##     1.68, 1.85, 1.8, 1.63, 1.55, 1.7, 1.68, 1.63, 1.75, 1.55, 
##     1.7, 1.52, 1.8, 1.78, 1.55, 1.68, 1.83, 1.83, 1.57, 1.6, 
##     1.91, 1.85, 1.8, 1.75, 1.7, 1.78, 1.88, 1.75, 1.88, 1.63, 
##     1.73, 1.63, 1.88, 1.65, 1.73, 1.91, 1.7, 1.73, 1.7, 1.78, 
##     1.83, 1.73, 1.57, 1.83, 1.83, 1.78, 1.5, 1.7, 1.78, 1.68, 
##     1.57, 1.96, 1.78, 1.7, 1.63, 1.57, 1.65, 1.75, 1.68, 1.7, 
##     1.8, 1.63, 1.63, 1.78, 1.63, 1.88, 1.78, 1.73, 1.63, 1.88, 
##     1.73, 1.87, 1.83, 1.63, 1.52, 1.68, 1.85, 1.57, 1.7, 1.63, 
##     1.7, 1.88, 1.98, 1.63, 1.52, 1.55, 1.7, 1.73, 1.73, 1.57, 
##     1.63, 1.7, 1.85, 1.6, 1.75, 1.75, 1.98, 1.83, 1.52, 1.67, 
##     1.65, 1.78, 1.65, 1.93, 1.7, 1.85, 1.52, 1.8, 1.68, 1.6, 
##     1.68, 1.7, 1.73, 1.75, 1.68, 1.7, 1.63, 1.83, 1.7, 1.6, 1.57, 
##     1.73, 1.8, 1.83, 1.45, 1.68, 1.68, 1.83, 1.85, 1.6, 1.47, 
##     1.75, 1.55, 1.62, 1.57, 1.7, 1.75, 1.8, 1.91, 1.6, 1.6, 1.65, 
##     1.78, 1.7, 1.75, 1.57, 1.85, 1.82, 1.8, 1.78, 1.73, 1.8, 
##     1.78, 1.8, 1.91, 1.7, 1.8, 1.78, 1.83, 1.68, 1.7, 1.88, 1.6, 
##     1.83, 1.65, 1.63, 1.93, 1.6, 1.83, 1.65, 1.83, 1.73, 1.65, 
##     1.65, 1.68, 1.7, 1.68, 1.88, 1.85, 1.7, 1.73, 1.57, 1.85, 
##     1.6, 1.63, 1.75, 1.7, 1.7, 1.65, 1.91, 1.85, 1.7, 1.55, 1.8, 
##     1.78, 1.7, 1.85, 1.75, 1.63, 1.57, 1.78, 1.52, 1.63, 1.5, 
##     1.68, 1.91, 1.57, 1.73, 1.55, 1.68, 1.7, 1.78, 1.5, 1.73, 
##     1.65, 1.68, 1.7, 1.6, 1.63, 1.78, 1.19, 1.8, 1.8, 1.78, 1.68, 
##     1.63, 1.63, 1.73, 1.57, 1.6, 1.93, 1.83, 1.75, 1.63, 1.68, 
##     1.7, 1.63, 1.78, 1.83, 1.88, 1.7, 1.8, 1.68, 1.75, 1.57, 
##     1.63, 1.73, 1.8, 1.68, 1.6, 1.65, 1.83, 1.8, 1.78, 1.63, 
##     1.85, 1.55, 1.6, 1.65, 1.65, 1.91, 1.78, 1.57, 1.75, 1.73, 
##     1.63, 1.73, 1.73, 1.57, 1.78, 1.78, 1.65, 1.85, 1.63, 1.8, 
##     1.75, 1.85, 1.78, 1.8, 1.52, 1.83, 1.63, 1.85, 1.63, 1.85, 
##     1.65, 1.78, 1.73, 1.83, 1.75, 1.73, 1.73, 1.65, 1.68, 1.65, 
##     1.73, 1.7, 1.88, 1.5, 1.78, 1.68, 1.8, 1.65, 1.73, 1.57, 
##     1.68, 1.65, 1.63, 1.75, 1.57, 1.68, 1.68, 1.6, 1.83, 1.68, 
##     1.65, 1.65, 1.83, 1.68, 1.75, 1.63, 1.55, 1.57, 1.65, 1.85, 
##     1.55, 1.8, 1.83, 1.7, 1.65, 1.7, 1.85, 1.78, 1.83, 1.55, 
##     1.73, 1.85, 1.73, 1.55, 1.93, 1.88, 1.7, 1.68, 1.78, 1.63, 
##     1.63, 1.65, 1.6, 1.78, 1.7, 1.7, 1.7, 1.83, 1.88, 1.73, 1.78, 
##     1.6, 1.65, 1.68, 1.88, 1.52, 1.68, 1.83, 1.7, 1.63, 1.88, 
##     1.63, 1.78, 1.75, 1.75, 1.78, 1.68, 1.68, 1.7, 1.65, 1.68, 
##     1.68, 1.65, 1.75, 1.78, 1.6, 1.88, 1.7, 1.7, 1.8, 1.78, 1.83, 
##     1.78, 1.8, 1.78, 1.73, 1.73, 1.68, 1.63, 1.73, 1.65, 1.63, 
##     1.7, 1.63, 1.73, 1.83, 1.65, 1.52, 1.8, 1.88, 1.63, 1.88, 
##     1.7, 1.68, 1.65, 1.6, 1.8, 1.75, 1.91, 1.65, 1.68, 1.57, 
##     1.78, 1.93, 1.65, 1.75, 1.57, 1.73, 1.75, 1.85, 1.73, 1.65, 
##     1.8, 1.63, 1.78, 1.52, 1.75, 1.65, 1.83, 1.78, 1.63, 1.83, 
##     1.73, 1.7, 1.85, 1.85, 1.68, 1.63, 1.6, 1.75, 1.8, 1.6, 1.65, 
##     1.65, 1.7, 1.73, 1.63, 1.8, 1.7, 1.7, 1.47, 1.68, 1.78, 1.75, 
##     1.68, 1.75, 1.6, 1.78, 1.8, 1.68, 1.88, 1.57, 1.55, 1.73, 
##     1.65, 1.73, 1.68, 1.78, 1.96, 1.73, 1.73, 1.63, 1.83, 1.8, 
##     1.6, 1.68, 1.73, 1.75, 1.73, 1.78, 1.7, 1.63, 1.65, 1.7, 
##     1.63, 1.57, 1.52, 1.65, 1.52, 1.65, 1.68, 1.83, 1.73, 1.65, 
##     1.75, 1.55, 1.8, 1.73, 1.73, 1.65, 1.68, 1.7, 1.63, 1.78, 
##     1.68, 1.68, 1.6, 1.83, 1.63, 1.65, 1.85, 1.7, 1.63, 1.7, 
##     1.83, 1.83, 1.85, 1.6, 1.68, 1.63, 1.88, 1.78, 1.8, 1.83, 
##     1.55, 1.65, 1.98, 1.78, 1.6, 1.7, 1.75, 1.63, 1.73, 1.83, 
##     1.57, 1.63, 1.68, 1.55, 1.75, 1.68, 1.8, 1.55, 1.68, 1.83, 
##     1.7, 1.57, 1.73, 1.57, 1.8, 1.65, 1.57, 1.6, 1.85, 1.57, 
##     1.8, 1.85, 1.65, 1.57, 1.8, 1.57, 1.83, 1.88, 1.47, 1.63, 
##     1.8, 1.78, 1.7, 1.78, 1.88, 1.78, 1.63, 1.8, 1.55, 1.65, 
##     1.75, 1.6, 1.8, 1.52, 1.6, 1.75, 1.55, 1.73, 1.6, 1.88, 1.8, 
##     1.75, 1.65, 1.78, 1.8, 1.65, 1.73, 1.5, 1.7, 1.68, 1.91, 
##     1.78, 1.75, 1.6, 1.75, 1.52, 1.8, 1.57, 1.63, 1.73, 1.83, 
##     1.65, 1.78, 1.7, 1.52, 1.75, 1.68, 1.65, 1.6, 1.83, 1.83, 
##     1.78, 1.65, 1.65, 1.8, 1.63, 1.7, 1.8, 1.65, 1.45, 1.6, 1.88, 
##     1.68, 1.57, 1.57, 1.7, 1.78, 1.91, 1.8, 1.78, 1.65, 1.8, 
##     1.68, 1.7, 1.68, 1.68, 1.78, 1.65, 1.73, 1.6, 1.63, 1.65, 
##     1.6, 1.8, 1.65, 1.68, 1.68, 1.5, 1.78, 1.88, 1.73, 1.6, 1.6, 
##     1.68, 1.8, 1.75, 1.63, 1.8, 1.83, 1.65, 1.65, 1.73, 1.7, 
##     1.63, 1.63, 1.73, 1.78, 1.78, 1.88, 1.63, 1.7, 1.7, 1.57, 
##     1.83, 1.68, 1.63, 1.57, 1.65, 1.83, 1.6, 1.78, 1.65, 1.6, 
##     1.68, 1.83, 1.5, 1.52, 1.63, 1.63, 1.8, 1.8, 1.85, 1.65, 
##     1.8, 1.6, 1.75, 1.6, 1.83, 1.75, 1.83, 1.65, 1.55, 1.78, 
##     1.75, 1.78, 1.68, 1.65, 1.6, 1.73, 1.73, 1.8, 1.65, 1.88, 
##     1.63, 1.91, 1.78, 1.65, 1.65, 1.55, 1.63, 1.73, 1.63, 1.65, 
##     1.68, 1.65, 1.73, 1.7, 1.65, 1.73, 1.63, 1.83, 1.63, 1.75, 
##     1.78, 1.85, 1.57, 1.65, 1.68, 1.78, 1.57, 1.6, 1.75, 1.73, 
##     1.83, 1.73, 1.73, 1.78, 1.7, 1.65, 1.68, 1.91, 1.63, 1.57, 
##     1.8, 1.63, 1.63, 1.6, 1.7, 1.68, 1.93, 1.83, 1.91, 1.8, 1.65, 
##     1.78, 1.93, 1.63, 1.78, 1.73, 1.68, 1.65, 1.78, 1.8, 1.68, 
##     1.8, 1.75, 1.63, 1.88, 1.65, 1.73, 1.73, 1.78, 1.78, 1.75, 
##     1.8, 1.7, 1.83, 1.8, 1.78, 1.78, 1.88, 1.63, 1.83, 1.68, 
##     1.63, 1.52, 1.85, 1.52, 1.63, 1.78, 1.83, 1.56, 1.93, 1.75, 
##     1.73, 1.75, 1.8, 1.8, 1.85, 1.6, 1.7, 1.88, 1.8, 1.73, 1.7, 
##     1.65, 1.65, 1.93, 1.75, 1.68, 1.75, 1.57, 1.75, 1.83, 1.68, 
##     1.7, 1.83, 1.57, 1.6, 1.68, 1.68, 1.57, 1.68, 1.85, 1.65, 
##     1.73, 1.57, 1.57, 1.52, 1.73, 1.55, 1.78, 1.73, 2.01, 1.52, 
##     1.83, 1.55, 1.8, 1.75, 1.55, 1.6, 1.63, 1.75, 1.75, 1.52, 
##     1.85, 1.65, 1.7, 1.85, 1.57, 1.8, 1.75, 1.6, 1.63, 1.63, 
##     1.85, 1.75, 1.6, 1.93, 1.65, 1.8, 1.75, 1.68, 1.52, 1.63, 
##     1.75, 1.88, 1.52, 1.7, 1.78, 1.8, 1.88, 1.73, 1.78, 1.75, 
##     1.75, 1.63, 1.78, 1.75, 1.78, 1.73, 1.65, 1.57, 1.63, 1.73, 
##     1.65, 1.78, 1.73, 1.83, 1.7, 1.6, 1.57, 1.68, 1.83, 1.83, 
##     1.7, 1.6, 1.73, 1.68, 1.73, 1.63, 1.57, 1.52, 1.68, 1.63, 
##     1.73, 1.75, 1.73, 1.7, 1.7, 1.73, 1.75, 1.75, 1.73, 1.7, 
##     1.68, 1.73, 1.8, 1.68, 1.78, 1.78, 1.65, 1.8, 1.5, 1.6, 1.88, 
##     1.6, 1.52, 1.65, 1.6, 1.73, 1.7, 1.73, 1.68, 1.83, 1.65, 
##     1.83, 1.57, 1.78, 1.75, 1.65, 1.6, 1.75, 1.65, 1.8, 1.78, 
##     1.63, 1.7, 1.8, 1.6, 1.6, 1.63, 1.68, 1.68, 1.63, 1.78, 1.8, 
##     1.65, 1.55, 1.78, 1.73, 1.8, 1.8, 1.68, 1.75, 1.68, 1.52, 
##     1.78, 1.68, 1.78, 1.52, 1.7, 1.8, 1.65, 1.83, 1.68, 1.7, 
##     1.73, 1.6, 1.78, 1.96, 1.8, 1.88, 1.75, 1.63, 1.7, 1.83, 
##     1.63, 1.96, 1.68, 1.57, 1.63, 1.75, 1.83, 1.6, 1.68, 1.63, 
##     1.63, 1.55, 1.63, 1.6, 1.63, 1.73, 1.63, 1.8, 1.7, 1.55, 
##     1.6, 1.52, 1.63, 1.7, 1.63, 1.63, 1.96, 1.63, 1.83, 1.96, 
##     1.6, 1.75, 1.65, 1.96, 1.63, 1.78, 1.65, 1.57, 1.7, 1.57, 
##     1.47, 1.75, 1.73, 1.8, 1.88, 1.68, 1.8, 1.78, 1.7, 1.8, 1.8, 
##     1.98, 1.7, 1.77, 1.63, 1.73, 1.73, 1.68, 1.52, 1.63, 1.75, 
##     1.55, 1.47, 1.63, 1.73, 1.57, 1.91, 1.73, 1.63, 1.63, 1.78, 
##     1.83, 1.7, 1.65, 1.65, 1.7, 1.8, 1.88, 1.65, 1.83, 1.65, 
##     1.63, 1.55, 1.65, 1.57, 1.88, 1.8, 1.57, 1.6, 1.63, 1.85, 
##     1.73, 1.83, 1.78, 1.73, 1.83, 1.63, 1.6, 1.68, 1.75, 1.83, 
##     1.57, 1.75, 2.01, 1.7, 1.63, 1.52, 1.8, 1.65, 1.6, 1.68, 
##     1.8, 1.73, 1.83, 1.85, 1.57, 1.63, 1.6, 1.6, 1.57, 1.52, 
##     1.83, 1.68, 1.63, 1.52, 1.78, 1.57, 1.78, 1.7, 1.57, 1.8, 
##     1.52, 1.78, 1.78, 1.5, 1.85, 1.85, 1.63, 1.83, 1.7, 1.8, 
##     1.83, 1.63, 1.8, 1.7, 1.7, 1.8, 1.73, 1.68, 1.47, 1.63, 1.7, 
##     1.6, 1.68, 1.57, 1.63, 1.7, 1.85, 1.6, 1.63, 1.8, 1.57, 1.7, 
##     1.52, 1.65, 1.8, 1.57, 1.8, 1.73, 1.75, 1.68, 1.68, 1.83, 
##     1.73, 1.63, 1.68, 1.63, 1.73, 1.78, 1.75, 1.7, 1.55, 1.55, 
##     1.6, 1.65, 1.75, 1.88, 1.75, 1.78, 1.91, 1.7, 1.57, 1.78, 
##     1.52, 1.83, 1.83, 1.73, 1.57, 1.63, 1.63, 1.68, 1.68, 1.65, 
##     1.7, 1.6, 1.68, 1.63, 1.85, 1.55, 1.6, 1.7, 1.68, 1.78, 1.65, 
##     1.83, 1.88, 1.6, 1.91, 1.78, 1.6, 1.83, 1.63, 1.63, 1.75, 
##     1.88, 1.63, 1.63, 1.68, 1.57, 1.55, 1.63, 1.7, 1.6, 1.83, 
##     1.6, 1.68, 1.98, 1.65, 1.83, 1.73, 1.63, 1.78, 1.75, 1.73, 
##     1.65, 1.63, 1.73, 1.77, 1.7, 1.78, 1.57, 1.57, 1.75, 1.57, 
##     1.6, 1.83, 1.55, 1.78, 1.75, 1.63, 1.6, 1.52, 1.83, 1.75, 
##     1.63, 1.78, 1.68, 1.78, 1.73, 1.8, 1.68, 1.52, 2.01, 1.6, 
##     1.55, 1.73, 1.78, 1.73, 1.85, 1.7, 1.7, 1.73, 1.55, 1.85, 
##     1.8, 1.78, 1.52, 1.63, 1.65, 1.73, 1.75, 1.68, 1.65, 1.52, 
##     1.8, 1.65, 1.68, 1.68, 1.75, 1.8, 1.57, 1.75, 1.83, 1.78, 
##     1.78, 1.73, 1.7, 1.68, 1.83, 1.57, 1.83, 1.78, 1.6, 1.68, 
##     1.63, 1.7, 1.7, 1.63, 1.6, 1.6, 1.73, 1.63, 1.63, 1.65, 1.6, 
##     1.78, 1.6, 1.6, 1.65, 1.93, 1.65, 1.83, 1.73, 1.65, 1.83, 
##     1.88, 1.47, 1.68, 1.91, 1.7, 1.47, 1.8, 1.68, 1.42, 1.65, 
##     1.83, 1.68, 1.68, 1.75, 1.6, 1.75, 1.78, 1.65, 1.85, 1.85, 
##     1.88, 1.65, 1.91, 1.85, 1.68, 1.7, 1.52, 1.65, 1.65, 1.68, 
##     1.78, 1.54, 1.73, 1.65, 1.57, 1.68, 1.8, 1.83, 1.65, 1.65, 
##     1.83, 1.85, 1.6, 1.5, 1.8, 1.57, 1.57, 1.52, 2.01, 1.83, 
##     1.65, 1.65, 1.7, 1.75, 1.75, 1.83, 1.6, 1.8, 1.68, 1.63, 
##     1.57, 1.73, 1.68, 1.65, 1.83, 1.91, 1.7, 1.6, 1.88, 1.63, 
##     1.57, 1.55, 1.57, 1.57, 1.83, 1.88, 1.75, 1.57, 1.7, 1.57, 
##     1.63, 1.75, 1.68, 1.83, 1.57, 1.7, 1.63, 1.55, 1.6, 1.83, 
##     1.75, 1.83, 1.63, 1.65, 1.63, 1.57, 1.63, 1.55, 1.47, 1.65, 
##     1.93, 1.52, 1.6, 1.8, 1.65, 1.7, 1.57, 1.57, 1.8, 1.5, 1.6, 
##     1.68, 1.75, 1.91, 1.7, 1.47, 1.83, 1.7, 1.65, 1.63, 1.63, 
##     1.75, 1.83, 1.93, 1.68, 1.68, 1.7, 1.8, 1.55, 1.93, 1.83, 
##     1.7, 1.65, 1.7, 1.7, 1.8, 1.73, 1.8, 1.65, 1.73, 1.55, 1.7, 
##     1.7, 1.65, 1.63, 1.68, 1.78, 1.57, 1.78, 1.57, 1.55, 1.88, 
##     1.57, 1.73, 1.83, 1.78, 1.57, 1.75, 1.83, 1.55, 1.88, 1.7, 
##     1.68, 1.63, 1.83, 1.6, 1.75, 1.93, 1.6, 1.6, 1.63, 1.63, 
##     1.65, 1.78, 1.5, 1.8, 1.63, 1.83, 1.65, 1.73, 1.78, 1.57, 
##     1.68, 1.6, 1.78, 1.6, 1.63, 1.65, 1.6, 1.68, 1.83, 1.47, 
##     1.68, 1.6, 1.63, 1.88, 1.57, 1.7, 1.68, 1.52, 1.68, 1.85, 
##     1.55, 2.36, 1.7, 1.78, 1.8, 1.68, 1.57, 1.8, 1.55, 1.83, 
##     1.63, 1.75, 1.73, 1.78, 1.6, 1.73, 1.55, 1.57, 1.6, 1.75, 
##     1.63, 1.6, 1.63, 1.75, 1.65, 1.83, 1.83, 1.78, 1.65, 1.78, 
##     1.52, 1.83, 1.8, 1.91, 1.6, 1.65, 1.78, 1.8, 1.68, 1.7, 1.68, 
##     1.63, 1.65, 1.68, 1.88, 1.8, 1.7, 1.96, 1.75, 1.63, 1.78, 
##     1.8, 1.91, 1.63, 1.55, 1.83, 1.75, 1.75, 1.78, 1.68, 1.78, 
##     1.6, 1.73, 1.68, 1.65, 1.5, 1.55, 1.73, 1.73, 1.83, 1.75, 
##     1.8, 1.8, 1.8, 1.73, 1.88, 1.65, 1.7, 1.85, 1.5, 1.85, 1.7, 
##     1.63, 1.65, 2.01, 1.83, 1.65, 1.78, 1.65, 1.7, 1.83, 1.73, 
##     1.75, 1.7, 1.83, 1.73, 1.55, 1.7, 1.75, 1.8, 1.88, 1.83, 
##     1.83, 1.52, 1.6, 1.6, 1.52, 1.83, 1.63, 1.6, 1.63, 1.68, 
##     1.88, 1.63, 1.68, 1.93, 1.63, 1.91, 1.52, 1.65, 1.65, 1.65, 
##     1.7, 1.6, 1.7, 1.63, 1.75, 1.6, 1.73, 1.73, 1.91, 1.7, 1.6, 
##     1.63, 1.6, 1.65, 1.7, 1.7, 1.73, 1.78, 1.78, 1.83, 1.65, 
##     1.78, 1.73, 1.75, 1.57, 1.83, 1.83, 1.57, 1.6, 1.57, 1.7, 
##     1.55, 1.83, 1.65, 1.8, 1.73, 1.65, 1.83, 1.65, 1.75, 1.75, 
##     1.6, 1.65, 1.83, 1.52, 1.88, 1.7, 1.85, 1.7, 1.63, 1.68, 
##     1.83, 1.83, 1.8, 1.83, 1.73, 1.63, 1.73, 1.7, 1.8, 1.6, 1.57, 
##     1.52, 1.78, 1.78, 2.01, 1.68, 1.78, 1.75, 1.85, 1.75, 1.47, 
##     1.57, 1.68, 1.75, 1.85, 1.63, 1.63, 1.83, 1.78, 1.88, 1.73, 
##     1.91, 1.6, 1.6, 1.56, 1.68, 1.65, 1.57, 1.68, 1.7, 1.83, 
##     1.55, 1.7, 1.63, 1.7, 1.65, 1.7, 1.6, 1.6, 1.65, 1.57, 1.6, 
##     1.57, 1.63, 1.93, 1.68, 1.55, 1.57, 1.63, 1.7, 1.75, 1.5, 
##     1.73, 1.78, 1.75, 1.65, 1.75, 1.73, 1.6, 1.73, 1.78, 1.8, 
##     1.73, 1.6, 1.75, 1.68, 1.7, 1.73, 1.52, 1.8, 1.83, 1.65, 
##     1.68, 1.55, 1.7, 1.75, 1.78, 1.63, 1.57, 1.88, 1.57, 1.63, 
##     1.75, 1.63, 1.8, 1.65, 1.73, 1.93, 1.57, 1.8, 1.75, 1.6, 
##     1.57, 1.83, 1.83, 1.6, 1.57, 1.73, 1.6, 1.55, 1.68, 1.75, 
##     1.8, 1.78, 1.68, 1.78, 1.65, 1.8, 1.85, 1.6, 1.75, 1.6, 1.63, 
##     1.8, 1.65, 1.78, 1.83, 1.63, 1.63, 1.7, 1.83, 1.78, 1.63, 
##     1.85, 1.68, 1.63, 1.6, 1.57, 1.73, 1.73, 1.73, 1.57, 1.57, 
##     1.73, 1.7, 1.78, 1.65, 1.68, 1.63, 1.6, 1.7, 1.57, 1.52, 
##     1.55, 1.83, 1.63, 1.6, 1.83, 1.63, 1.83, 1.83, 1.65, 1.7, 
##     1.83, 1.73, 1.85, 1.85, 1.57, 1.78, 1.55, 1.75, 1.78, 1.65, 
##     1.75, 1.78, 1.7, 1.85, 1.65, 1.98, 1.91, 1.52, 1.8, 1.83, 
##     1.63, 1.63, 1.75, 1.57, 1.7, 1.73, 1.83, 1.63, 1.85, 1.65, 
##     1.57, 1.6, 1.73, 1.85, 1.57, 1.57, 1.5, 1.65, 1.85, 1.68, 
##     1.52, 1.75, 1.83, 1.78, 1.78, 1.8, 1.68, 1.63, 1.83, 1.83, 
##     2.03, 1.75, 1.75, 1.83, 1.7, 1.75, 1.6, 1.52, 1.7, 1.91, 
##     1.75, 1.6, 1.7, 1.73, 1.6, 1.91, 1.63, 1.73, 1.73, 1.65, 
##     1.63, 1.73, 1.7, 1.78, 1.6, 1.8, 1.85, 1.73, 1.8, 1.85, 1.52, 
##     1.93, 1.75, 1.8, 1.63, 1.63, 1.57, 1.6, 1.68, 1.85, 1.8, 
##     1.7, 1.73, 1.75, 1.68, 1.7, 1.88, 1.73, 1.63, 1.73, 1.75, 
##     1.63, 1.57, 1.42, 1.78, 1.78, 1.7, 1.7, 1.68, 1.91, 1.57, 
##     1.8, 1.68, 1.57, 1.6, 1.57, 1.85, 1.78, 1.68, 1.83, 1.91, 
##     1.65, 1.75, 1.83, 1.6, 1.7, 1.75, 1.45, 1.6, 1.85, 1.85, 
##     1.73, 1.57, 1.83, 1.52, 1.52, 1.91, 1.6, 1.78, 1.7, 1.63, 
##     1.55, 1.73, 1.7, 1.73, 1.73, 1.63, 1.63, 1.88, 1.88, 1.55, 
##     1.85, 1.75, 1.78, 1.8, 1.7, 1.88, 1.75, 1.68, 1.73, 1.83, 
##     1.63, 1.8, 1.75, 1.6, 1.65, 1.73, 1.7, 1.83, 1.8, 1.57, 1.55, 
##     1.6, 1.65, 1.57, 1.68, 1.7, 1.78, 1.83, 1.65, 1.75, 1.6, 
##     1.68, 1.75, 1.73, 1.75, 1.83, 1.91, 1.83, 1.78, 1.63, 1.88, 
##     1.7, 1.65, 1.83, 1.73, 1.83, 1.73, 1.6, 1.68, 1.73, 1.65, 
##     1.68, 1.73, 1.7, 1.73, 1.78, 1.75, 1.73, 1.78, 1.6, 1.55, 
##     1.75, 1.75, 1.7, 1.83, 1.78, 1.75, 1.75, 1.83, 1.57, 1.65, 
##     1.52, 1.57, 1.65, 1.8, 1.65, 1.78, 1.75, 1.75, 1.63, 1.83, 
##     1.68, 1.52, 1.52, 1.65, 1.7, 1.65, 1.88, 1.6, 1.68, 1.75, 
##     1.65, 1.57, 1.63, 1.93, 1.73, 1.7, 1.57, 1.68, 1.78, 1.65, 
##     1.68, 1.88, 1.68, 1.75, 1.6, 1.73, 1.73, 1.8, 1.85, 1.63, 
##     1.83, 1.91, 1.78, 1.55, 1.5, 1.6, 1.7, 1.8, 1.52, 1.63, 1.83, 
##     1.63, 1.68, 1.88, 1.68, 1.6, 1.73, 1.75, 1.75, 1.57, 1.57, 
##     1.7, 1.55, 1.78, 1.68, 1.7, 1.63, 1.57, 1.85, 1.68, 1.78, 
##     1.57, 1.57, 1.83, 1.68, 1.78, 1.57, 1.8, 1.83, 1.73, 1.65, 
##     1.88, 1.7, 1.83, 1.5, 1.65, 1.65, 1.83, 1.6, 1.78, 1.78, 
##     1.88, 1.75, 1.8, 1.78, 1.68, 1.52, 1.7, 1.65, 1.57, 1.83, 
##     1.55, 1.8, 1.63, 1.83, 1.6, 1.57, 1.83, 1.6, 1.6, 1.78, 1.73, 
##     1.63, 1.68, 1.8, 1.57, 1.68, 1.65, 1.63, 1.91, 1.75, 1.7, 
##     1.8, 1.63, 1.6, 1.63, 1.65, 1.68, 1.83, 1.7, 1.78, 1.8, 1.7, 
##     1.57, 1.75, 1.6, 1.83, 1.6, 1.65, 1.83, 1.7, 1.8, 1.88, 1.73, 
##     1.83, 1.65, 1.6, 1.52, 1.63, 1.8, 1.65, 1.63, 1.65, 1.8, 
##     1.75, 1.55, 1.68, 1.68, 1.88, 1.68, 1.7, 1.85, 1.57, 1.6, 
##     1.75, 1.68, 1.78, 1.65, 1.73, 1.65, 1.75, 1.5, 1.68, 1.55, 
##     1.78, 1.85, 1.63, 1.7, 1.73, 1.8, 1.6, 1.73, 1.5, 1.73, 1.68, 
##     1.52, 1.8, 1.73, 1.52, 1.8, 1.78, 1.83, 1.68, 1.6, 1.85, 
##     1.65, 1.78, 1.73, 1.8, 1.75, 1.83, 1.88, 1.73, 1.75, 1.65, 
##     1.65, 1.83, 1.63, 1.75, 1.65, 1.57, 1.68, 1.73, 1.65, 1.83, 
##     1.6, 1.88, 1.55, 1.65, 1.5, 1.57, 1.85, 1.88, 1.52, 1.68, 
##     1.88, 1.78, 1.7, 1.6, 1.83, 1.68, 1.7, 1.75, 1.63, 1.93, 
##     1.6, 1.57, 1.68, 1.8, 1.75, 1.8, 1.6, 1.88, 1.98, 1.68, 1.78, 
##     1.65, 1.8, 1.68, 1.51, 1.88, 1.78, 1.7, 1.88, 1.73, 1.63, 
##     1.6, 1.68, 1.78, 1.85, 1.57, 1.63, 1.78, 1.6, 1.68, 1.6, 
##     1.68, 1.59, 1.83, 1.68, 1.7, 1.73, 1.75, 1.57, 1.55, 1.75, 
##     1.93, 1.52, 1.8, 1.83, 1.75, 1.91, 1.68, 1.65, 1.93, 1.57, 
##     1.6, 1.65, 1.7, 1.68, 1.78, 1.8, 1.75, 1.65, 1.52, 1.63, 
##     1.7, 1.6, 1.75, 1.63, 1.7, 1.83, 1.63, 1.83, 1.7, 1.52, 1.8, 
##     1.42, 1.78, 1.55, 1.83, 1.91, 1.8, 1.98, 1.73, 1.57, 1.52, 
##     1.8, 1.6, 1.85, 1.85, 1.63, 1.83, 1.73, 1.65, 1.68, 1.7, 
##     1.88, 1.6, 1.6, 1.68, 1.83, 1.75, 1.68, 1.65, 1.57, 1.55, 
##     1.7, 1.8, 1.63, 1.88, 1.68, 1.63, 1.75, 1.73, 1.91, 1.75, 
##     1.68, 1.68, 1.85, 1.83, 1.57, 1.65, 1.7, 1.6, 1.6, 1.78, 
##     1.63, 1.73, 1.73, 1.68, 1.55, 1.93, 1.7, 1.68, 1.78, 1.65, 
##     1.8, 1.88, 1.78, 1.83, 1.7, 1.68, 1.83, 1.75, 1.52, 1.93, 
##     1.8, 1.68, 1.93, 1.73, 1.73, 1.7, 1.63, 1.55, 1.55, 1.55, 
##     1.7, 1.63, 1.6, 1.78, 1.6, 1.7, 1.8, 1.68, 1.55, 1.68, 1.6, 
##     1.83, 1.63, 1.78, 1.78, 1.63, 1.83, 1.65, 1.68, 1.7, 1.78, 
##     1.85, 1.8, 1.63, 1.73, 1.65, 1.88, 1.73, 1.7, 1.75, 1.63, 
##     1.65, 1.96, 1.83, 1.6, 1.83, 1.8, 1.68, 1.57, 1.57, 1.52, 
##     1.8, 1.83, 1.8, 1.75, 1.8, 1.8, 1.55, 1.73, 1.85, 1.63, 1.88, 
##     1.75, 1.68, 1.6, 1.73, 1.75, 1.52, 1.65, 1.7, 1.8, 1.65, 
##     1.8, 1.6, 1.78, 1.68, 1.78, 2.18, 1.8, 1.88, 1.75, 1.57, 
##     1.73, 1.91, 1.68, 1.68, 1.8, 1.7, 1.63, 1.65, 2.01, 1.75, 
##     1.63, 1.8, 1.78, 1.85, 1.85, 1.78, 1.75, 1.68, 1.52, 1.73, 
##     1.65, 1.83, 1.83, 1.68, 1.7, 1.85, 1.6, 1.78, 1.68, 1.63, 
##     1.88, 1.65, 1.63, 1.91, 1.52, 1.63, 1.7, 1.6, 1.7, 1.83, 
##     1.57, 1.88, 1.68, 1.63, 1.75, 1.88, 1.57, 1.7, 1.78, 1.75, 
##     1.68, 1.88, 1.65, 1.68, 1.75, 1.73, 1.78, 1.63, 1.65, 1.85, 
##     1.85, 1.55, 1.73, 1.55, 1.63, 1.57, 1.68, 1.65, 1.83, 1.55, 
##     1.7, 1.73, 1.63, 1.65, 1.6, 1.63, 1.78, 1.96, 1.57, 1.85, 
##     1.78, 1.78, 1.88, 1.8, 1.57, 1.83, 1.91, 1.85, 1.75, 1.7, 
##     1.75, 1.63, 1.57, 1.57, 1.68, 1.68, 1.52, 1.73, 1.57, 1.78, 
##     1.88, 1.65, 1.68, 1.52, 1.85, 1.7, 1.52, 1.55, 1.55, 1.83, 
##     1.85, 1.57, 1.78, 1.83, 1.8, 1.52, 1.73, 1.7, 1.7, 1.78, 
##     1.73, 1.85, 1.63, 1.96, 1.73, 1.83, 1.8, 1.73, 1.75, 1.7, 
##     1.73, 1.85, 1.75, 1.83, 1.91, 1.65, 1.73, 1.88, 1.6, 1.85, 
##     1.6, 1.75, 1.68, 1.63, 1.83, 1.63, 1.6, 1.63, 1.8, 1.65, 
##     1.68, 1.7, 1.75, 1.73, 1.7, 1.83, 1.55, 1.62, 1.55, 1.6, 
##     1.7, 1.63, 1.6, 1.8, 1.63, 1.78, 1.91, 1.78, 1.47, 1.73, 
##     1.83, 1.7, 1.68, 1.57, 1.68, 1.63, 1.73, 1.78, 1.6, 1.7, 
##     1.7, 1.63, 1.93, 1.65, 1.73, 1.52, 1.73, 1.55, 1.83, 1.73, 
##     1.65, 1.7, 1.88, 1.52, 1.73, 1.55, 1.63, 1.8, 1.55, 1.63, 
##     1.75, 1.88, 1.68, 1.73, 1.85, 1.75, 1.91, 1.63, 1.93, 1.6, 
##     1.63, 1.63, 1.8, 1.91, 1.6, 1.75, 1.6, 1.63, 1.68, 1.83, 
##     1.68, 1.57, 1.5, 1.57, 1.8, 1.55, 1.65, 1.75, 1.96, 1.57, 
##     1.83, 1.83, 1.52, 1.68, 1.88, 1.73, 1.8, 1.63, 1.68, 1.7, 
##     1.55, 1.68, 1.63, 1.57, 1.65, 1.78, 1.7, 1.68, 1.57, 1.55, 
##     1.73, 1.8, 1.83, 1.75, 1.6, 1.85, 1.63, 1.57, 1.75, 1.8, 
##     1.65, 1.52, 1.68, 1.57, 1.73, 1.83, 1.88, 1.68, 1.78, 1.83, 
##     1.57, 1.91, 1.6, 1.6, 1.78, 1.6, 1.73, 1.88, 1.6, 1.78, 1.83, 
##     1.83, 1.75, 1.65, 1.75, 1.88, 1.68, 1.83, 1.75, 1.55, 1.7, 
##     1.78, 1.83, 1.63, 1.57, 1.73, 1.88, 1.6, 1.57, 1.8, 1.75, 
##     1.8, 1.68, 1.57, 1.83, 1.68, 1.78, 1.5, 1.57, 1.63, 1.73, 
##     1.57, 1.6, 1.57, 1.73, 1.51, 1.75, 1.83, 1.7, 1.52, 1.83, 
##     1.52, 1.8, 1.73, 1.6, 1.73, 1.8, 1.8, 1.85, 1.83, 1.78, 1.6, 
##     1.73, 1.7, 1.7, 1.83, 1.7, 1.63, 1.68, 1.78, 1.73, 1.65, 
##     1.57, 1.73, 1.65, 1.83, 1.78, 1.6, 1.68, 1.75, 1.85, 1.52, 
##     1.78, 1.63, 1.78, 1.75, 1.68, 1.93, 1.63, 1.8, 1.63, 1.63, 
##     1.7, 1.57, 1.6, 1.63, 1.85, 1.83, 1.91, 1.83, 1.83, 1.63, 
##     1.7, 1.63, 1.98, 1.83, 1.83, 1.91, 1.8, 1.75, 1.78, 1.93, 
##     1.78, 1.83, 1.93, 1.8, 1.65, 1.75, 1.5, 1.68, 1.63, 1.78, 
##     1.6, 1.6, 1.75, 1.68, 1.78, 1.73, 1.78, 1.98, 1.63, 1.68, 
##     1.7, 1.78, 1.83, 1.93, 1.73, 1.6, 1.68, 1.83, 1.7, 1.55, 
##     1.88, 1.73, 1.52, 1.68, 1.52, 1.91, 1.83, 1.6, 1.65, 1.93, 
##     1.8, 1.63, 1.57, 1.93, 1.8, 1.63, 1.7, 1.55, 1.78, 1.68, 
##     1.78, 1.73, 1.6, 1.6, 1.68, 1.52, 1.68, 1.7, 1.57, 1.73, 
##     1.68, 1.68, 1.78, 1.57, 1.52, 1.68, 1.63, 1.75, 1.78, 1.73, 
##     1.22, 1.63, 1.63, 1.63, 1.63, 1.75, 1.8, 1.65, 1.75, 1.68, 
##     1.6, 1.7, 1.63, 1.57, 1.6, 1.52, 1.78, 1.75, 1.63, 1.7, 1.68, 
##     1.65, 1.4, 1.63, 1.55, 1.68, 1.7, 1.63, 1.93, 1.68, 1.55, 
##     1.6, 1.65, 1.78, 1.68, 1.75, 1.83, 1.63, 1.73, 1.65, 1.57, 
##     1.78, 1.73, 1.78, 1.75, 1.85, 1.68, 1.73, 1.63, 1.85, 1.73, 
##     1.65, 1.78, 1.65, 1.68, 1.7, 1.6, 1.68, 1.83, 1.8, 1.63, 
##     1.73, 1.68, 1.47, 1.75, 1.7, 1.55, 1.8, 1.65, 1.7, 1.63, 
##     1.78, 1.73, 1.55, 1.68, 1.83, 1.75, 1.68, 1.63, 1.7, 1.68, 
##     1.83, 1.6, 1.63, 1.75, 1.65, 1.83, 1.73, 1.68, 1.63, 1.78, 
##     1.73, 1.7, 1.78, 1.78, 1.57, 1.93, 1.68, 1.85, 1.8, 1.55, 
##     1.63, 1.78, 1.68, 1.65, 2.03, 1.83, 1.63, 1.7, 1.75, 1.65, 
##     1.52, 1.65, 1.78, 1.83, 1.65, 1.73, 1.83, 1.57, 1.65, 1.78, 
##     1.65, 1.57, 1.55, 1.63, 1.73, 1.78, 1.65, 1.91, 1.63, 1.83, 
##     1.63, 1.65, 1.63, 1.57, 1.6, 1.75, 1.73, 1.57, 1.7, 1.8, 
##     1.6, 1.73, 1.8, 1.91, 1.55, 1.83, 1.78, 1.68, 1.75, 1.63, 
##     1.63, 1.63, 1.68, 1.8, 1.55, 1.65, 1.57, 1.78, 1.57, 1.47, 
##     1.7, 1.55, 1.6, 1.73, 1.75, 1.78, 1.78, 1.65, 1.65, 1.63, 
##     1.98, 1.68, 1.83, 1.6, 1.68, 1.65, 1.52, 1.78, 1.6, 1.64, 
##     1.83, 1.85, 1.7, 1.7, 1.73, 1.63, 1.52, 1.57, 1.78, 1.63, 
##     1.68, 1.78, 1.75, 1.65, 1.63, 1.73, 1.75, 1.78, 1.75, 1.55, 
##     1.63, 1.57, 1.85, 1.68, 1.68, 1.6, 1.6, 1.73, 1.6, 1.5, 1.88, 
##     1.55, 1.88, 1.85, 1.6, 1.63, 1.78, 1.7, 1.75, 1.75, 1.55, 
##     1.8, 1.78, 1.65, 1.83, 1.6, 1.52, 1.78, 1.68, 1.65, 1.6, 
##     1.63, 1.55, 1.83, 1.73, 1.73, 1.68, 1.6, 1.6, 1.63, 1.63, 
##     1.75, 1.83, 1.91, 1.7, 1.7, 1.55, 1.7, 1.6, 1.75, 1.7, 1.73, 
##     1.57, 1.85, 1.8, 1.55, 1.8, 1.78, 1.78, 1.83, 1.78, 1.7, 
##     1.8, 1.83, 1.8, 1.8, 1.57, 1.73, 1.8, 1.68, 1.75, 1.6, 1.55, 
##     1.83, 1.5, 1.57, 1.83, 1.63, 1.8, 1.6, 1.88, 1.8, 1.75, 1.88, 
##     1.91, 1.8, 1.7, 1.83, 1.55, 1.8, 1.63, 1.7, 1.65, 1.78, 1.68, 
##     1.6, 1.63, 1.6, 1.83, 1.8, 1.8, 1.63, 1.78, 1.68, 1.7, 1.73, 
##     1.68, 1.65, 1.52, 1.73, 1.75, 1.57, 1.78, 1.83, 1.6, 1.73, 
##     1.5, 1.73, 1.8, 1.65, 1.73, 1.8, 1.68, 1.85, 1.83, 1.63, 
##     1.5, 1.6, 1.55, 1.65, 1.47, 1.91, 1.73, 1.75, 1.63, 1.78, 
##     1.6, 1.85, 1.6, 1.65, 1.7, 1.78, 1.88, 1.78, 1.68, 1.65, 
##     1.68, 1.7, 1.83, 1.63, 1.65, 1.63, 1.57, 1.68, 1.63, 1.73, 
##     1.73, 1.85, 1.57, 1.83, 1.65, 1.75, 1.75, 1.8, 1.55, 1.75, 
##     1.75, 1.73, 1.72, 1.8, 1.57, 1.78, 1.83, 1.78, 1.55, 1.7, 
##     1.75, 1.68, 1.6, 1.73, 1.73, 1.78, 1.75, 1.78, 1.7, 1.85, 
##     1.65, 1.7, 1.7, 1.57, 1.68, 1.65, 1.75, 1.57, 1.78, 1.7, 
##     1.7, 1.57, 1.8, 1.78, 1.63, 1.78, 1.85, 1.52, 1.7, 1.55, 
##     1.73, 1.65, 1.8, 1.65, 1.75, 1.78, 1.73, 1.75, 1.63, 1.63, 
##     1.88, 1.52, 1.78, 1.75, 1.55, 1.73, 1.57, 1.85, 1.7, 1.85, 
##     1.8, 1.63, 1.68, 1.65, 1.75, 1.57, 1.68, 1.83, 1.6, 1.55, 
##     1.73, 1.6, 1.68, 1.73, 1.88, 1.55, 1.68, 1.83, 1.6, 1.7, 
##     1.7, 1.65, 1.78, 1.68, 1.65, 1.6, 1.88, 1.63, 1.63, 1.5, 
##     1.68, 1.6, 1.68, 1.88, 1.7, 1.6, 1.8, 1.73, 1.78, 1.7, 1.8, 
##     1.91, 1.7, 1.57, 1.63, 1.73, 1.91, 1.83, 1.83, 1.57, 1.91, 
##     1.83, 1.7, 1.68, 1.83, 1.78, 1.6, 1.78, 1.78, 1.68, 1.93, 
##     1.83, 1.8, 1.65, 1.88, 1.63, 1.6, 1.83, 1.68, 1.65, 1.8, 
##     1.65, 1.75, 1.63, 1.55, 1.63, 1.52, 1.78, 1.63, 1.68, 1.68, 
##     1.73, 1.73, 1.65, 1.83, 1.7, 1.83, 1.78, 1.83, 1.63, 1.52, 
##     1.83, 1.63, 1.68, 1.57, 1.7, 1.75, 1.68, 1.75, 1.57, 1.63, 
##     1.73, 1.85, 1.63, 1.57, 1.6, 1.57, 1.57, 1.73, 1.7, 1.91, 
##     1.57, 1.93, 1.7, 1.68, 1.63, 1.7, 1.5, 1.63, 1.57, 1.55, 
##     1.63, 1.73, 1.75, 1.73, 1.75, 1.65, 1.85, 1.78, 1.63, 1.65, 
##     1.6, 1.6, 1.55, 1.83, 1.68, 1.78, 1.73, 1.83, 1.63, 1.7, 
##     1.75, 1.55, 1.55, 1.73, 1.65, 1.65, 1.78, 1.59, 1.68, 1.65, 
##     1.57, 1.78, 1.68, 1.83, 1.68, 1.68, 1.75, 1.73, 1.68, 1.6, 
##     1.63, 1.83, 1.83, 1.6, 1.6, 1.63, 1.52, 1.73, 1.65, 1.78, 
##     1.85, 1.85, 1.5, 1.55, 1.75, 1.68, 1.83, 1.63, 1.8, 1.78, 
##     1.85, 1.65, 1.57, 1.75, 1.83, 1.63, 2.03, 1.75, 1.78, 1.83, 
##     1.68, 1.78, 1.63, 1.63, 1.83, 1.78, 1.85, 1.83, 1.78, 1.6, 
##     1.83, 1.6, 1.68, 1.78, 1.57, 1.65, 1.6, 1.75, 1.75, 1.52, 
##     1.75, 1.55, 1.73, 1.85, 1.78, 1.6, 1.52, 1.68, 1.63, 1.85, 
##     1.65, 1.57, 1.68, 1.65, 1.6, 1.8, 1.78, 1.45, 1.8, 1.68, 
##     1.68, 1.68, 1.8, 1.7, 1.68, 1.7, 1.63, 1.75, 1.83, 1.83, 
##     1.7, 1.65, 2.03, 1.6, 1.83, 1.57, 1.65, 1.52, 1.68, 1.63, 
##     1.7, 1.6, 1.73, 1.68, 1.65, 1.83, 1.65, 1.83, 1.83, 1.78, 
##     1.73, 1.78, 1.55, 1.8, 1.8, 1.63, 1.63, 1.68, 1.6, 1.57, 
##     1.7, 1.8, 1.75, 1.8, 1.75, 1.93, 1.73, 1.73, 1.68, 1.55, 
##     1.7, 1.8, 1.68, 1.63, 1.7, 1.47, 1.8, 1.85, 1.52, 1.73, 1.83, 
##     1.75, 1.65, 1.63, 1.57, 1.6, 1.88, 1.7, 1.68, 1.65, 1.7, 
##     1.65, 1.65, 1.6, 1.68, 1.88, 1.75, 1.78, 1.8, 1.78, 1.83, 
##     1.96, 1.88, 1.75, 1.63, 1.73, 1.68, 1.73, 1.6, 1.65, 1.57, 
##     1.63, 1.57, 1.75, 1.88, 1.68, 1.63, 1.83, 1.7, 1.78, 1.68, 
##     1.73, 1.83, 1.85, 1.65, 1.63, 1.63, 1.6, 1.73, 1.6, 1.75, 
##     1.68, 1.68, 1.73, 1.65, 1.83, 1.63, 1.57, 1.65, 1.6, 1.83, 
##     1.65, 1.7, 1.88, 1.88, 1.7, 1.75, 1.63, 1.55, 1.73, 1.65, 
##     1.5, 1.6, 1.88, 1.65, 1.63, 1.55, 1.68, 1.68, 1.8, 1.73, 
##     1.65, 1.7, 1.83, 1.96, 1.8, 1.63, 1.88, 1.73, 1.7, 1.52, 
##     1.68, 1.65, 1.57, 1.85, 1.88, 1.83, 1.63, 1.57, 1.93, 1.78, 
##     1.78, 1.55, 1.57, 1.75, 1.8, 1.78, 1.68, 1.63, 1.55, 1.88, 
##     1.52, 1.55, 1.63, 1.75, 1.75, 1.8, 1.57, 1.65, 1.68, 1.65, 
##     1.83, 1.73, 1.78, 1.8, 1.52, 1.7, 1.83, 1.73, 1.68, 1.78, 
##     1.65, 1.7, 1.73, 1.7, 1.73, 1.78, 1.55, 1.75, 1.73, 1.85, 
##     1.52, 1.73, 1.04, 1.6, 1.75, 1.6, 1.63, 1.75, 1.88, 1.85, 
##     1.65, 1.96, 1.78, 1.85, 1.7, 1.52, 1.57, 1.8, 1.63, 1.63, 
##     1.7, 1.88, 1.83, 1.83, 1.78, 1.7, 1.55, 1.73, 1.75, 1.68, 
##     1.75, 1.52, 1.6, 1.75, 1.68, 1.65, 1.63, 1.78, 1.6, 1.88, 
##     1.83, 1.88, 1.6, 1.47, 1.8, 1.63, 1.78, 1.57, 1.8, 1.65, 
##     1.75, 1.91, 1.8, 1.63, 1.55, 1.8, 1.88, 1.57, 1.63, 1.68, 
##     1.91, 1.65, 1.73, 1.68, 1.75, 1.91, 1.83, 1.7, 1.75, 1.68, 
##     1.78, 1.65, 1.63, 1.57, 1.6, 1.52, 1.75, 1.63, 1.78, 1.57, 
##     1.55, 1.68, 1.63, 1.6, 1.68, 1.75, 1.78, 1.85, 1.65, 1.68, 
##     1.57, 1.63, 1.83, 1.75, 1.73, 1.7, 1.52, 1.57, 1.68, 1.7, 
##     1.52, 1.68, 1.73, 1.63, 1.75, 1.83, 1.73, 1.78, 1.83, 1.75, 
##     1.7, 1.68, 1.7, 1.63, 1.73, 1.57, 1.65, 1.73, 1.73, 1.83, 
##     1.73, 1.6, 1.5, 1.57, 1.73, 1.73, 1.78, 1.63, 1.7, 1.85, 
##     1.83, 1.8, 1.91, 1.68, 1.52, 1.55, 1.85, 1.7, 1.75, 1.8, 
##     1.52, 1.6, 1.47, 1.7, 1.6, 1.65, 1.75, 1.63, 1.7, 1.91, 1.65, 
##     1.91, 1.52, 1.83, 1.88, 1.65, 1.8, 1.78, 1.73, 1.83, 1.8, 
##     1.78, 1.68, 1.63, 1.83, 1.83, 1.73, 1.7, 1.55, 1.91, 1.63, 
##     1.78, 1.63, 1.65, 1.75, 1.83, 1.86, 1.68, 1.83, 1.63, 1.68, 
##     1.7, 1.6, 1.63, 1.91, 1.65, 1.65, 1.63, 1.63, 1.68, 1.65, 
##     1.88, 1.68, 1.57, 1.88, 1.63, 1.63, 1.6, 1.52, 1.7, 1.75, 
##     1.83, 1.52, 1.78, 1.8, 1.75, 1.65, 1.52, 1.63, 1.73, 1.8, 
##     1.55, 1.75, 1.8, 1.85, 1.7, 1.75, 1.57, 1.68, 1.68, 1.85, 
##     1.65, 1.7, 1.88, 1.52, 1.75, 1.68, 1.65, 1.63, 1.7, 1.75, 
##     1.52, 1.52, 1.78, 1.78, 1.52, 1.83, 1.6, 1.91, 1.6, 1.78, 
##     1.52, 1.68, 1.73, 1.93, 1.68, 1.75, 1.88, 1.85, 1.78, 1.6, 
##     1.68, 1.6, 1.68, 1.83, 1.42, 1.8, 1.7, 1.52, 1.55, 1.73, 
##     1.83, 1.85, 1.91, 1.63, 1.55, 1.57, 1.78, 1.65, 1.68, 1.78, 
##     1.85, 1.6, 1.7, 1.63, 1.73, 1.8, 1.78, 1.7, 1.7, 1.55, 1.85, 
##     1.88, 1.65, 1.7, 1.58, 1.78, 1.6, 1.68, 1.68, 1.68, 1.52, 
##     1.57, 1.5, 1.52, 1.73, 1.55, 1.45, 1.68, 1.7, 1.96, 1.8, 
##     1.7, 1.55, 1.57, 1.75, 1.7, 1.8, 1.75, 1.78, 1.73, 1.83, 
##     1.6, 1.68, 1.83, 1.47, 1.77, 1.83, 1.68, 1.52, 1.73, 1.83, 
##     1.68, 1.83, 1.96, 1.78, 1.98, 1.75, 1.7, 1.63, 1.52, 1.83, 
##     1.7, 1.78, 1.91, 1.75, 1.55, 1.6, 1.57, 1.83, 1.52, 1.5, 
##     1.68, 1.73, 1.88, 1.75, 1.8, 1.88, 1.68, 1.75, 1.75, 1.73, 
##     1.63, 1.73, 1.73, 1.83, 1.57, 1.75, 1.88, 1.7, 1.57, 1.78, 
##     1.7, 1.83, 1.83, 1.68, 1.57, 1.83, 1.52, 1.63, 1.7, 1.55, 
##     1.78, 1.6, 1.57, 1.8, 1.65, 1.52, 1.78, 1.83, 1.6, 1.75, 
##     1.75, 1.5, 1.78, 1.55, 1.73, 1.63, 1.68, 1.68, 1.57, 1.7, 
##     1.55, 1.57, 1.78, 1.83, 1.85, 1.83, 1.7, 1.6, 1.57, 1.57, 
##     1.63, 1.78, 1.68, 1.65, 1.63, 1.7, 1.78, 1.75, 1.6, 1.6, 
##     1.65, 1.68, 1.83, 1.63, 1.83, 1.96, 1.7, 1.65, 1.75, 1.78, 
##     1.68, 1.6, 1.57, 1.88, 1.55, 1.6, 1.7, 1.83, 1.8, 1.85, 1.8, 
##     1.55, 1.83, 1.68, 1.85, 1.6, 1.7, 1.73, 1.68, 1.55, 1.5, 
##     1.5, 1.6, 1.83, 1.75, 1.65, 1.7, 1.8, 1.63, 1.7, 1.57, 1.5, 
##     1.68, 1.91, 1.65, 1.57, 1.78, 1.68, 1.7, 1.6, 1.6, 1.63, 
##     1.75, 1.65, 1.68, 1.57, 1.91, 1.65, 1.68, 1.85, 1.85, 1.57, 
##     1.7, 1.5, 1.73, 1.55, 1.6, 1.68, 1.83, 1.91, 1.73, 1.68, 
##     1.75, 1.96, 1.73, 1.93, 1.78, 1.78, 1.7, 1.75, 1.83, 1.57, 
##     1.85, 1.63, 1.78, 1.63, 1.85, 1.88, 1.78, 1.68, 1.63, 1.68, 
##     1.83, 1.63, 1.68, 1.88, 1.52, 1.8, 1.63, 1.73, 1.65, 1.63, 
##     1.57, 1.7, 1.7, 1.52, 1.78, 1.65, 1.8, 1.83, 1.78, 1.75, 
##     1.63, 1.88, 1.78, 1.57, 1.88, 1.75, 1.73, 1.68, 1.6, 1.65, 
##     1.7, 1.68, 1.85, 1.78, 1.73, 1.65, 1.75, 1.7, 1.78, 1.78, 
##     1.57, 1.88, 1.6, 1.75, 1.63, 1.83, 1.52, 1.85, 1.6, 1.57, 
##     1.83, 1.73, 1.55, 1.65, 1.68, 1.93, 1.7, 1.65, 1.63, 1.68, 
##     1.73, 1.68, 1.65, 1.83, 1.78, 1.83, 1.75, 1.68, 1.83, 1.68, 
##     1.8, 1.63, 1.63, 1.6, 1.63, 1.75, 1.6, 1.7, 1.7, 1.7, 1.68, 
##     1.6, 1.78, 1.7, 1.88, 1.57, 1.57, 1.63, 1.7, 1.55, 1.65, 
##     1.6, 1.73, 1.55, 1.57, 1.6, 1.88, 1.68, 1.8, 1.73, 1.7, 1.55, 
##     1.8, 1.55, 1.73, 1.7, 1.75, 1.65, 1.57, 1.6, 1.75, 1.68, 
##     1.75, 1.6, 1.55, 1.75, 1.6, 1.6, 1.57, 1.55, 1.75, 1.7, 1.55, 
##     1.57, 1.7, 1.7, 1.88, 1.85, 1.6, 1.75, 1.6, 1.7, 1.63, 1.78, 
##     1.63, 1.65, 1.83, 1.65, 1.6, 1.7, 1.63, 1.85, 1.78, 1.78, 
##     1.78, 1.73, 1.78, 1.57, 1.85, 1.55, 1.57, 1.8, 1.83, 1.83, 
##     1.6, 1.8, 1.65, 1.6, 1.8, 1.5, 1.6, 1.7, 1.8, 1.75, 1.83, 
##     1.7, 1.8, 1.68, 1.73, 1.6, 1.65, 1.65, 1.7, 1.7, 1.6, 1.63, 
##     1.57, 1.63, 1.68, 1.6, 1.57, 1.68, 1.57, 1.55, 1.88, 1.91, 
##     1.8, 1.96, 1.78, 1.68, 1.83, 1.6, 1.6, 1.88, 1.57, 1.65, 
##     1.6, 1.8, 1.93, 1.78, 1.73, 1.85, 1.68, 1.73, 1.75, 1.7, 
##     1.78, 1.6, 1.68, 1.7, 1.57, 1.75, 1.75, 1.55, 1.75, 1.83, 
##     1.78, 1.52, 1.73, 1.73, 1.6, 1.63, 1.65, 1.7, 1.7, 1.7, 1.65, 
##     1.63, 1.6, 1.78, 1.8, 1.68, 1.7, 1.8, 1.78, 1.78, 1.83, 1.55, 
##     1.63, 1.65, 1.65, 1.6, 1.83, 1.6, 1.78, 1.47, 1.78, 1.57, 
##     1.83, 1.68, 1.88, 1.65, 1.7, 1.6, 1.73, 1.57, 1.57, 1.63, 
##     1.96, 1.75, 1.65, 1.7, 1.6, 1.96, 1.68, 1.85, 1.68, 1.63, 
##     1.83, 1.7, 1.75, 1.5, 1.63, 1.65, 1.65, 1.91, 1.73, 1.73, 
##     1.78, 1.75, 1.83, 1.85, 1.7, 1.63, 1.6, 1.78, 1.75, 1.57, 
##     1.7, 1.68, 1.73, 1.57, 1.91, 1.78, 1.8, 1.7, 1.6, 1.63, 1.57, 
##     1.68, 1.63, 2.03, 1.73, 1.75, 1.85, 1.73, 1.75, 1.55, 1.57, 
##     1.8, 1.65, 1.65, 1.88, 1.65, 1.7, 1.7, 1.73, 1.73, 1.68, 
##     1.73, 1.83, 1.68, 1.65, 1.6, 1.78, 1.6, 1.78, 2.03, 1.65, 
##     1.6, 1.55, 1.91, 1.83, 1.65, 1.73, 1.6, 1.63, 1.83, 1.57, 
##     1.52, 1.83, 1.55, 1.68, 1.83, 1.57, 1.65, 1.88, 1.75, 1.85, 
##     1.68, 1.78, 1.78, 1.7, 1.83, 1.68, 1.55, 1.7, 1.68, 1.7, 
##     1.63, 1.83, 1.7, 1.91, 1.63, 1.65, 1.57, 1.63, 1.63, 1.7, 
##     1.68, 1.75, 1.75, 1.7, 1.78, 1.73, 1.6, 1.63, 1.8, 1.78, 
##     1.7, 1.63, 1.65, 1.73, 1.73, 1.8, 1.68, 1.83, 1.6, 1.78, 
##     1.68, 1.65, 1.78, 1.83, 1.75, 1.63, 1.85, 1.7, 1.8, 1.63, 
##     1.65, 1.6, 1.68, 1.5, 1.55, 1.8, 1.63, 1.68, 1.8, 1.65, 1.57, 
##     1.8, 1.68, 1.68, 1.78, 1.73, 1.6, 1.68, 1.7, 1.78, 1.75, 
##     1.57, 1.77, 1.78, 1.88, 1.73, 1.73, 1.75, 1.75, 1.85, 1.88, 
##     1.73, 1.73, 1.68, 1.68, 1.88, 1.52, 1.78, 1.8, 1.55, 1.73, 
##     1.75, 1.91, 1.78, 1.65, 1.7, 1.85, 1.68, 1.55, 1.78, 1.6, 
##     1.47, 1.52, 1.78, 1.63, 1.73, 1.73, 1.7, 1.73, 1.83, 1.63, 
##     1.65, 1.8, 1.78, 1.73, 1.73, 1.7, 1.57, 1.6, 1.63, 1.8, 1.7, 
##     1.68, 1.78, 1.52, 1.68, 1.83, 1.6, 1.83, 1.6, 1.7, 1.78, 
##     1.75, 1.75, 1.75, 1.7, 1.54, 1.68, 1.91, 1.6, 1.8, 1.65, 
##     1.78, 1.7, 1.7, 1.75, 1.52, 1.75, 1.57, 1.83, 1.91, 1.65, 
##     1.75, 1.63, 1.68, 1.8, 1.68, 1.78, 1.65, 1.91, 1.57, 1.6, 
##     1.68, 1.88, 1.75, 1.83, 1.73, 1.75, 1.78, 1.57, 1.78, 1.65, 
##     1.73, 1.57, 1.7, 1.7, 1.83, 1.63, 1.8, 1.78, 1.52, 1.7, 1.65, 
##     1.55, 1.47, 1.55, 1.65, 1.55, 1.65, 1.78, 1.7, 1.63, 1.85, 
##     1.63, 1.75, 1.65, 1.55, 1.57, 1.6, 1.68, 1.83, 1.68, 1.68, 
##     1.7, 1.68, 1.57, 1.7, 1.7, 1.68, 1.8, 1.65, 1.68, 1.75, 1.7, 
##     1.73, 1.78, 1.65, 1.78, 1.78, 1.65, 1.73, 1.83, 1.88, 1.55, 
##     1.68, 1.8, 1.8, 1.83, 1.88, 1.75, 1.85, 1.68, 1.63, 1.83, 
##     1.83, 1.7, 1.75, 1.55, 1.91, 1.75, 1.8, 1.73, 1.6, 1.63, 
##     1.7, 1.6, 1.63, 1.75, 1.6, 1.75, 1.57, 1.65, 1.57, 1.83, 
##     1.63, 1.73, 1.57, 1.68, 1.63, 1.73, 1.8, 1.75, 1.7, 1.77, 
##     1.85, 1.65, 1.57, 1.6, 1.68, 1.68, 1.78, 1.73, 1.93, 1.63, 
##     1.85, 1.7, 1.83, 1.96, 1.52, 1.65, 1.7, 1.42, 1.65, 1.63, 
##     1.78, 1.68, 1.68, 1.6, 1.63, 1.63, 1.6, 1.65, 1.68, 1.78, 
##     1.73, 1.68, 1.85, 1.75, 1.73, 1.6, 1.63, 1.96, 1.8, 1.83, 
##     1.83, 1.63, 1.65, 1.73, 1.78, 1.75, 1.68, 1.7, 1.85, 1.75, 
##     1.83, 1.8, 1.57, 1.73, 1.7, 1.73, 1.8, 1.83, 1.85, 1.8, 1.8, 
##     1.8, 1.75, 1.6, 1.73, 1.55, 1.96, 1.8, 1.75, 1.78, 1.68, 
##     1.73, 1.78, 1.73, 1.63, 1.75, 1.8, 1.7, 1.68, 1.57, 1.68, 
##     1.68, 1.75, 1.7, 1.63, 1.73, 1.52, 1.57, 1.57, 1.83, 1.63, 
##     1.52, 1.52, 1.75, 1.68, 1.52, 1.52, 1.78, 1.7, 1.8, 1.75, 
##     1.65, 1.57, 1.65, 1.5, 1.78, 1.7, 1.62, 1.8, 1.68, 1.68, 
##     1.83, 1.7, 1.47, 1.65, 1.65, 1.63, 1.73, 1.78, 1.75, 1.65, 
##     1.7, 1.63, 1.78, 1.57, 1.83, 1.91, 1.91, 1.68, 1.63, 1.57, 
##     1.8, 1.57, 1.83, 1.8, 1.6, 1.68, 1.22, 1.83, 1.68, 1.7, 1.75, 
##     1.65, 1.78, 1.93, 1.68, 1.6, 1.6, 1.6, 1.63, 1.7, 1.68, 1.78, 
##     1.7, 1.91, 1.65, 1.8, 1.63, 1.8, 1.8, 1.5, 1.8, 1.57, 1.52, 
##     1.75, 1.6, 1.85, 1.88, 1.65, 1.7, 1.65, 1.7, 1.63, 1.83, 
##     1.83, 1.78, 1.55, 1.7, 1.52, 1.68, 1.6, 1.6, 1.6, 1.6, 1.63, 
##     1.65, 1.7, 1.75, 1.83, 1.91, 1.88, 1.83, 1.6, 1.96, 1.8, 
##     1.63, 1.88, 1.65, 1.7, 1.55, 1.57, 1.75, 1.6, 1.52, 1.57, 
##     1.75, 1.83, 1.85, 1.65, 1.73, 1.57, 1.52, 1.57, 1.73, 1.63, 
##     1.65, 1.73, 1.78, 1.75, 1.85, 1.78, 1.63, 1.85, 1.85, 1.73, 
##     1.83, 1.57, 1.65, 1.63, 1.6, 1.73, 1.57, 1.93, 1.6, 1.68, 
##     1.78, 1.75, 1.88, 1.85, 1.73, 1.8, 1.68, 1.65, 1.75, 1.63, 
##     1.75, 1.85, 1.83, 1.85, 1.68, 1.52, 1.7, 1.55, 1.78, 1.57, 
##     1.91, 1.8, 1.75, 1.57, 1.7, 1.57, 1.52, 1.83, 1.65, 1.65, 
##     1.73, 1.6, 1.68, 1.83, 1.57, 1.63, 1.88, 1.73, 1.8, 1.63, 
##     1.55, 1.73, 1.8, 1.6, 1.52, 1.7, 1.73, 1.5, 1.68, 1.65, 1.75, 
##     1.8, 1.63, 1.63, 1.75, 1.8, 1.75, 1.65, 1.75, 1.65, 1.57, 
##     1.91, 1.75, 1.65, 1.57, 1.6, 1.57, 1.63, 1.52, 1.68, 1.7, 
##     1.57, 1.68, 1.63, 1.73, 1.78, 1.73, 1.75, 1.73, 1.7, 1.83, 
##     1.6, 1.6, 1.65, 1.6, 1.83, 1.6, 1.57, 1.6, 1.78, 1.73, 1.75, 
##     1.7, 1.55, 1.63, 1.85, 1.73, 1.52, 1.63, 1.68, 1.55, 1.83, 
##     1.73, 1.8, 1.63, 1.65, 1.68, 2.01, 1.73, 1.57, 1.63, 1.63, 
##     1.78, 1.75, 1.75, 1.75, 1.68, 1.52, 1.75, 1.88, 1.75, 1.8, 
##     1.8, 1.96, 1.52, 1.57, 1.65, 1.88, 1.7, 1.78, 1.8, 1.7, 1.65, 
##     1.7, 1.63, 1.98, 1.75, 1.7, 1.85, 1.73, 1.7, 1.63, 1.57, 
##     1.6, 1.75, 1.7, 1.63, 1.65, 1.68, 1.6, 1.75, 1.57, 1.5, 1.83, 
##     1.8, 1.78, 1.65, 1.65, 1.91, 1.57, 1.73, 1.63, 1.88, 1.83, 
##     1.75, 1.85, 1.78, 1.73, 1.78, 1.78, 1.78, 1.73, 1.83, 1.83, 
##     1.68, 1.52, 1.5, 1.65, 1.57, 1.63, 1.78, 1.65, 1.8, 1.64, 
##     1.83, 1.73, 1.93, 1.85, 1.75, 1.63, 1.68, 1.7, 1.85, 1.83, 
##     1.68, 1.63, 1.85, 1.75, 1.65, 1.63, 1.68, 1.73, 1.68, 1.75, 
##     1.87, 1.73, 1.52, 1.63, 1.65, 1.63, 1.78, 1.75, 1.78, 1.83, 
##     1.75, 1.65, 1.78, 1.85, 1.68, 1.83, 1.65, 1.8, 1.65, 1.78, 
##     1.88, 1.5, 1.73, 1.5, 1.93, 1.88, 1.5, 1.73, 1.73, 1.7, 1.73, 
##     1.75, 1.55, 1.63, 1.85, 1.68, 1.63, 1.78, 1.83, 1.88, 1.63, 
##     1.78, 1.7, 1.78, 1.78, 1.83, 1.7, 1.73, 1.83, 1.6, 1.83, 
##     1.57, 1.57, 1.63, 1.93, 1.83, 1.6, 1.73, 1.65, 1.65, 1.68, 
##     1.57, 1.8, 1.78, 1.7, 1.6, 1.63, 1.63, 1.7, 1.65, 1.8, 1.7, 
##     1.75, 1.88, 1.68, 2.01, 1.7, 1.68, 1.63, 1.68, 1.68, 1.73, 
##     1.83, 1.68, 1.83, 1.6, 1.91, 1.73, 1.7, 1.85, 1.85, 1.65, 
##     1.7, 1.55, 1.57, 1.55, 1.55, 1.75, 1.75, 1.55, 1.68, 1.78, 
##     1.8, 1.75, 1.63, 1.7, 1.85, 1.7, 1.7, 1.8, 1.63, 1.7, 1.83, 
##     1.63, 1.63, 1.78, 1.8, 1.93, 1.78, 1.7, 1.65, 1.63, 1.75, 
##     1.57, 1.73, 1.73, 1.52, 1.68, 1.73, 1.75, 1.63, 1.73, 1.65, 
##     1.85, 1.63, 1.68, 1.63, 1.75, 1.73, 1.88, 1.68, 1.68, 1.85, 
##     1.73, 1.8, 1.65, 1.75, 1.63, 1.63, 1.78, 1.6, 1.6, 1.8, 1.7, 
##     1.75, 1.6, 1.83, 1.78, 1.78, 1.65, 1.7, 1.8, 1.83, 1.63, 
##     1.8, 1.65, 1.7, 1.65, 1.63, 1.65, 1.75, 1.63, 1.68, 1.83, 
##     1.73, 1.65, 1.83, 1.55, 1.83, 1.8, 1.6, 1.75, 1.57, 1.8, 
##     1.65, 1.6, 1.68, 1.55, 1.63, 1.68, 1.63, 1.65, 1.7, 1.73, 
##     1.68, 1.63, 1.6, 1.91, 1.73, 1.7, 1.75, 1.83, 1.78, 1.35, 
##     1.63, 1.65, 1.68, 1.78, 1.63, 1.47, 1.75, 1.75, 1.75, 1.63, 
##     1.85, 1.75, 1.75, 1.78, 1.57, 1.88, 1.75, 1.73, 1.88, 1.63, 
##     1.75, 1.57, 1.83, 1.63, 2.01, 1.88, 1.52, 1.8, 1.7, 1.57, 
##     1.68, 1.75, 1.68, 1.7, 1.55, 1.75, 1.63, 1.75, 1.63, 1.75, 
##     1.7, 1.65, 1.75, 1.85, 1.6, 1.7, 1.63, 1.63, 1.57, 1.68, 
##     1.6, 1.65, 1.57, 1.63, 1.55, 1.52, 1.68, 1.83, 1.6, 1.6, 
##     1.5, 1.75, 1.8, 1.75, 1.78, 1.88, 1.57, 1.6, 1.7, 1.6, 1.83, 
##     1.68, 1.75, 1.68, 1.57, 1.75, 1.68, 1.75, 1.93, 1.6, 1.8, 
##     1.73, 1.88, 1.7, 1.8, 1.83, 1.7, 1.85, 1.8, 1.6, 1.65, 1.68, 
##     1.7, 1.52, 1.73, 1.88, 1.7, 1.65, 1.65, 1.68, 1.6, 1.7, 1.7, 
##     1.83, 1.75, 1.8, 1.7, 1.57, 1.63, 1.7, 1.83, 1.5, 1.6, 1.55, 
##     1.63, 1.68, 1.75, 1.7, 1.55, 1.75, 1.63, 1.75, 1.65, 1.7, 
##     1.63, 1.83, 1.63, 1.55, 1.75, 1.55, 1.57, 1.65, 1.68, 1.85, 
##     1.55, 1.68, 1.73, 1.73, 1.93, 1.85, 1.6, 1.6, 1.75, 1.6, 
##     1.52, 1.52, 1.63, 1.75, 1.63, 1.8, 1.73, 1.55, 1.68, 1.78, 
##     1.6, 1.63, 1.83, 1.65, 1.73, 1.8, 1.73, 1.7, 1.68, 1.7, 1.57, 
##     1.85, 1.75, 1.65, 1.8, 1.68, 1.75, 1.85, 1.52, 1.55, 1.52, 
##     1.6, 1.83, 1.83, 1.55, 1.68, 1.52, 1.75, 1.8, 1.7, 1.6, 1.52, 
##     1.88, 1.68, 1.7, 1.63, 1.5, 1.78, 1.83, 1.78, 1.78, 1.78, 
##     1.63, 1.7, 1.73, 1.63, 1.63, 1.52, 1.73, 1.96, 1.83, 1.52, 
##     1.88, 1.75, 1.6, 1.65, 1.73, 1.78, 1.7, 1.55, 1.75, 1.8, 
##     1.55, 1.52, 1.68, 1.7, 1.83, 1.91, 1.68, 1.6, 1.68, 1.57, 
##     1.68, 1.63, 1.68, 1.91, 1.73, 1.8, 1.6, 1.63, 1.96, 1.6, 
##     1.78, 1.65, 1.7, 1.73, 1.85, 1.85, 1.93, 1.78, 1.57, 1.6, 
##     1.73, 1.75, 1.7, 1.78, 1.78, 1.85, 1.68, 1.88, 1.57, 1.78, 
##     1.68, 1.65, 1.47, 1.7, 1.8, 1.63, 1.7, 1.65, 1.57, 1.7, 1.8, 
##     1.75, 1.4, 1.57, 1.75, 1.88, 1.63, 1.6, 1.73, 1.73, 1.78, 
##     1.68, 1.65, 1.63, 1.78, 1.55, 1.63, 1.63, 1.52, 1.73, 1.55, 
##     1.57, 1.55, 1.75, 1.68, 1.7, 1.63, 1.63, 1.78, 1.7, 1.8, 
##     1.6, 1.52, 1.75, 1.7, 1.8, 1.6, 1.75, 1.7, 1.78, 1.65, 1.65, 
##     1.65, 1.68, 1.65, 1.73, 1.55, 1.7, 1.52, 1.55, 1.65, 1.73, 
##     1.68, 1.57, 1.73, 1.6, 1.75, 1.78, 1.68, 1.73, 1.6, 1.6, 
##     1.65, 1.73, 1.57, 1.5, 1.88, 1.68, 1.63, 1.78, 1.52, 1.7, 
##     1.7, 1.78, 1.83, 1.83, 1.63, 1.78, 1.75, 1.83, 1.78, 1.55, 
##     1.63, 1.68, 1.63, 1.8, 1.68, 1.7, 1.55, 1.73, 1.63, 1.63, 
##     1.55, 1.52, 1.63, 1.57, 1.6, 1.75, 1.73, 1.78, 1.6, 1.6, 
##     1.55, 1.65, 1.6, 1.68, 1.73, 1.8, 1.73, 1.57, 1.96, 1.65, 
##     1.6, 1.68, 1.52, 1.91, 1.7, 1.55, 1.8, 1.8, 1.85, 1.65, 1.57, 
##     1.6, 1.68, 1.78, 1.75, 1.68, 1.7, 1.57, 1.68, 1.65, 1.7, 
##     1.75, 1.65, 1.75, 1.73, 1.7, 1.75, 1.83, 1.55, 1.85, 1.8, 
##     1.7, 1.55, 1.65, 1.73, 1.85, 1.57, 1.68, 1.7, 1.57, 1.68, 
##     1.93, 1.8, 1.78, 1.68, 1.88, 1.68, 1.78, 1.8, 1.73, 1.57, 
##     1.73, 1.68, 1.6, 1.78, 1.57, 1.57, 1.78, 1.91, 1.8, 1.83, 
##     1.63, 1.85, 1.88, 1.8, 1.6, 1.93, 1.65, 1.85, 1.7, 1.57, 
##     1.83, 1.8, 1.78, 1.57, 1.63, 1.73, 1.78, 1.65, 1.65, 1.88, 
##     1.57, 1.78, 1.63, 1.78, 1.8, 1.52, 1.78, 1.65, 1.93, 1.96, 
##     1.75, 1.63, 1.8, 1.63, 1.78, 1.8, 1.63, 1.78, 1.52, 1.73, 
##     1.73, 1.6, 1.6, 1.7, 1.78, 2.03, 1.55, 1.83, 1.88, 1.7, 1.6, 
##     1.57, 1.7, 1.68, 1.78, 1.73, 1.7, 1.45, 1.83, 1.68, 1.68, 
##     1.6, 1.78, 1.57, 1.6, 1.57, 1.75, 1.8, 1.57, 1.63, 1.7, 1.73, 
##     1.75, 1.7, 1.6, 1.63, 1.83, 1.63, 1.57, 1.7, 1.65, 1.7, 1.57, 
##     1.6, 1.75, 1.68, 1.88, 1.73, 1.52, 1.75, 1.57, 1.68, 1.7, 
##     1.45, 1.57, 1.7, 1.7, 1.57, 1.63, 1.52, 1.78, 1.6, 1.7, 1.57, 
##     1.55, 1.83, 1.73, 1.75, 1.65, 1.63, 1.88, 1.65, 1.63, 1.65, 
##     1.75, 1.75, 1.7, 1.83, 1.63, 1.93, 1.75, 1.68, 1.65, 1.57, 
##     1.6, 1.57, 1.52, 1.83, 1.5, 1.75, 1.8, 1.63, 1.68, 1.68, 
##     1.83, 1.7, 1.65, 1.8, 1.65, 1.57, 1.73, 1.93, 1.83, 1.7, 
##     1.78, 1.88, 1.6, 1.52, 1.78, 1.68, 1.57, 1.65, 1.65, 1.68, 
##     1.73, 1.52, 1.88, 1.68, 1.85, 1.73, 1.75, 1.78, 1.83, 1.73, 
##     1.65, 1.73, 1.75, 1.75, 1.8, 1.73, 1.63, 1.68, 1.6, 1.78, 
##     1.57, 1.88, 1.63, 1.68, 1.57, 1.73, 1.68, 1.57, 1.73, 1.85, 
##     1.7, 1.83, 1.85, 1.83, 1.57, 1.6, 1.73, 1.85, 1.6, 1.65, 
##     1.8, 1.8, 1.52, 1.63, 1.63, 1.55, 1.68, 1.47, 1.55, 1.68, 
##     1.73, 1.75, 1.68, 1.75, 1.78, 1.96, 1.57, 1.7, 1.83, 1.78, 
##     1.78, 1.6, 1.75, 1.65, 1.91, 1.57, 1.63, 1.73, 1.83, 1.78, 
##     1.83, 1.8, 1.68, 1.65, 1.68, 1.73, 1.78, 1.63, 1.75, 1.85, 
##     1.68, 1.83, 1.91, 1.6, 1.8, 1.57, 1.68, 1.78, 1.83, 1.7, 
##     1.57, 1.65, 1.57, 1.65, 1.6, 1.63, 1.78, 1.78, 1.57, 1.73, 
##     1.73, 1.8, 1.63, 1.57, 1.83, 1.52, 1.63, 1.6, 1.78, 1.75, 
##     1.78, 1.78, 1.83, 1.52, 1.65, 1.7, 1.73, 1.73, 1.68, 1.6, 
##     1.57, 1.78, 1.75, 1.6, 1.75, 1.63, 1.55, 1.57, 1.91, 1.68, 
##     1.57, 1.6, 1.85, 1.57, 1.8, 1.73, 1.65, 1.78, 1.63, 1.65, 
##     1.47, 1.78, 1.88, 1.75, 1.8, 1.75, 1.75, 1.78, 1.85, 1.65, 
##     1.68, 1.6, 1.68, 1.68, 1.63, 1.52, 1.65, 1.55, 1.68, 1.78, 
##     1.7, 1.8, 1.75, 1.63, 1.93, 1.83, 1.65, 1.85, 1.57, 1.91, 
##     1.85, 1.7, 1.6, 1.57, 1.63, 1.6, 1.78, 1.8, 1.6, 1.63, 1.91, 
##     1.75, 1.55, 1.63, 1.6, 1.73, 1.7, 1.68, 1.8, 1.8, 1.57, 1.68, 
##     1.7, 1.78, 1.83, 1.57, 1.65, 1.8, 1.78, 1.85, 1.68, 1.6, 
##     1.68, 1.65, 1.63, 1.83, 1.78, 1.75, 1.78, 1.93, 1.85, 1.73, 
##     1.73, 1.73, 1.57, 2.08, 1.96, 1.7, 1.65, 1.88, 1.98, 1.83, 
##     1.8, 1.65, 1.73, 1.88, 1.83, 1.73, 1.75, 1.83, 1.6, 1.57, 
##     1.63, 1.6, 1.65, 1.6, 1.68, 1.68, 1.68, 1.57, 1.65, 1.68, 
##     1.63, 1.63, 1.8, 1.91, 1.83, 1.8, 1.55, 1.57, 1.65, 1.65, 
##     1.83, 1.73, 1.55, 1.73, 1.62, 1.57, 1.68, 1.73, 1.96, 1.78, 
##     1.73, 1.78, 1.63, 1.68, 1.6, 1.6, 1.8, 2.26, 1.8, 1.57, 1.63, 
##     1.63, 1.88, 1.83, 1.68, 1.83, 1.8, 1.8, 1.6, 1.65, 1.63, 
##     1.85, 1.68, 1.65, 1.7, 1.83, 1.63, 1.65, 1.5, 1.93, 1.85, 
##     1.68, 1.68, 1.63, 1.68, 1.65, 1.7, 1.75, 1.78, 1.57, 1.52, 
##     1.7, 1.83, 1.55, 1.65, 1.63, 1.83, 1.68, 1.78, 1.85, 1.75, 
##     1.65, 1.91, 1.68, 1.68, 1.93, 1.83, 1.68, 1.78, 1.78, 1.73, 
##     1.78, 1.7, 1.63, 1.7, 1.6, 1.52, 1.83, 1.7, 1.91, 1.78, 1.73, 
##     1.85, 1.73, 1.75, 1.65, 1.7, 1.6, 1.75, 2.01, 1.55, 1.7, 
##     1.57, 1.57, 1.63, 1.75, 1.68, 1.83, 1.65, 1.6, 1.63, 1.73, 
##     1.83, 1.75, 1.68, 1.63, 1.68, 1.57, 1.73, 1.7, 1.68, 1.8, 
##     2.01, 1.85, 1.83, 1.75, 1.65, 1.7, 1.52, 1.6, 1.73, 1.63, 
##     1.78, 1.68, 1.8, 1.6, 1.75, 1.73, 1.65, 1.6, 1.75, 1.83, 
##     1.73, 1.52, 1.7, 1.78, 1.73, 1.6, 1.6, 1.88, 1.96, 1.57, 
##     1.85, 1.78, 1.7, 1.63, 1.7, 1.65, 1.73, 1.8, 1.68, 1.55, 
##     1.83, 1.65, 1.75, 1.85, 1.68, 1.75, 1.91, 1.68, 1.83, 1.65, 
##     1.75, 1.78, 1.68, 1.52, 1.73, 1.68, 1.73, 1.83, 1.55, 1.8, 
##     1.83, 1.7, 1.65, 1.73, 1.78, 1.73, 1.83, 1.65, 1.63, 1.73, 
##     1.93, 1.6, 1.73, 1.73, 1.7, 1.75, 1.63, 1.83, 1.7, 1.8, 1.55, 
##     1.7, 1.65, 1.65, 1.68, 1.75, 1.6, 1.63, 1.85, 1.8, 1.85, 
##     1.55, 1.83, 1.73, 1.52, 1.83, 1.78, 1.6, 1.85, 1.52, 1.85, 
##     1.65, 1.63, 1.91, 1.83, 1.65, 1.35, 1.57, 1.8, 1.83, 1.55, 
##     1.68, 1.63, 1.68, 1.75, 1.68, 1.7, 1.63, 1.65, 1.85, 1.68, 
##     1.91, 1.91, 1.7, 1.83, 1.65, 1.78, 1.83, 1.63, 1.85, 1.93, 
##     1.52, 1.5, 1.6, 1.68, 1.63, 1.78, 1.78, 1.55, 1.65, 1.8, 
##     1.55, 1.83, 1.6, 1.55, 1.6, 1.55, 1.8, 1.55, 1.75, 1.65, 
##     1.83, 1.7, 1.83, 1.6, 1.68, 1.83, 1.88, 1.68, 1.6, 1.7, 1.68, 
##     1.68, 1.63, 1.75, 1.75, 1.65, 1.8, 1.68, 1.6, 1.5, 1.83, 
##     1.88, 1.57, 1.65, 1.65, 1.65, 1.63, 1.6, 1.65, 1.6, 1.6, 
##     1.63, 1.52, 1.57, 1.75, 1.78, 1.7, 1.7, 1.83, 1.63, 1.73, 
##     1.85, 1.7, 1.73, 1.55, 1.57, 1.83, 1.78, 1.78, 1.68, 1.6, 
##     1.75, 1.8, 1.75, 1.83, 1.85, 1.8, 1.78, 1.7, 1.75, 1.65, 
##     1.52, 1.55, 1.75, 1.57, 1.75, 1.78, 1.73, 1.63, 1.83, 1.6, 
##     1.6, 1.7, 1.7, 1.7, 1.57, 1.63, 1.78, 1.63, 1.83, 1.57, 1.78, 
##     1.85, 1.73, 1.83, 1.91, 1.68, 1.88, 1.88, 1.78, 1.55, 1.55, 
##     1.78, 1.75, 1.6, 1.88, 1.6, 1.8, 1.57, 1.73, 1.63, 1.57, 
##     1.57, 1.7, 1.83, 1.55, 1.55, 1.63, 1.63, 1.6, 1.73, 1.68, 
##     1.65, 1.6, 1.85, 1.6, 1.7, 1.85, 1.68, 1.68, 1.6, 1.68, 1.83, 
##     1.68, 1.55, 1.8, 1.78, 1.83, 1.8, 1.63, 1.63, 1.8, 1.8, 1.68, 
##     1.53, 1.91, 1.7, 1.55, 1.7, 1.68, 1.73, 1.63, 1.78, 1.6, 
##     1.65, 1.75, 1.75, 1.85, 1.55, 1.78, 1.6, 1.7, 1.85, 1.85, 
##     1.66, 1.83, 1.8, 1.47, 1.73, 1.63, 1.85, 1.63, 1.85, 1.6, 
##     1.75, 1.6, 1.75, 1.8, 1.6, 1.63, 1.8, 1.78, 1.63, 1.63, 1.73, 
##     1.52, 1.75, 1.65, 1.6, 1.57, 1.8, 1.78, 1.65, 1.63, 1.5, 
##     1.68, 1.83, 1.65, 1.73, 1.65, 1.91, 1.6, 1.68, 1.65, 1.57, 
##     1.75, 1.52, 1.73, 1.88, 1.8, 1.75, 1.57, 1.83, 1.63, 1.65, 
##     1.68, 1.75, 1.8, 1.6, 1.83, 1.65, 1.73, 1.8, 1.52, 1.63, 
##     1.63, 1.7, 1.68, 1.91, 1.78, 1.73, 1.45, 1.8, 1.78, 1.63, 
##     1.73, 1.83, 1.5, 1.85, 1.75, 1.57, 1.85, 1.7, 1.68, 1.83, 
##     1.68, 1.52, 1.8, 1.65, 1.78, 1.8, 1.63, 1.6, 1.57, 1.75, 
##     1.55, 1.8, 1.7, 1.73, 1.8, 1.55, 1.63, 1.68, 1.6, 1.75, 1.78, 
##     1.65, 1.7, 1.57, 1.57, 1.8, 1.75, 1.83, 1.52, 1.78, 1.8, 
##     1.63, 1.8, 1.65, 1.8, 1.91, 1.63, 1.6, 1.63, 1.73, 1.6, 1.83, 
##     1.6, 1.8, 1.91, 1.63, 1.83, 1.68, 1.78, 1.63, 1.83, 1.83, 
##     1.65, 1.7, 1.73, 1.6, 1.7, 1.85, 1.63, 1.63, 1.93, 1.52, 
##     1.52, 1.6, 1.78, 1.78, 1.73, 1.73, 1.73, 1.8, 1.85, 1.7, 
##     1.58, 1.68, 1.63, 1.63, 1.55, 1.73, 1.52, 1.68, 1.93, 1.7, 
##     1.83, 1.52, 1.78, 1.65, 1.65, 1.78, 1.6, 1.73, 1.52, 1.8, 
##     1.7, 1.88, 1.57, 1.7, 1.57, 1.6, 1.7, 1.75, 1.63, 1.57, 1.68, 
##     1.8, 1.63, 1.83, 1.91, 1.68, 1.68, 1.68, 1.83, 1.63, 1.8, 
##     1.65, 1.78, 1.6, 1.63, 1.8, 1.83, 1.6, 1.7, 1.88, 1.65, 1.6, 
##     1.63, 1.83, 1.55, 1.93, 1.55, 1.8, 1.85, 1.57, 1.75, 1.73, 
##     1.6, 1.6, 1.47, 1.68, 1.57, 1.68, 1.85, 1.73, 1.88, 1.83, 
##     1.6, 1.6, 1.93, 1.57, 1.68, 1.65, 1.83, 1.52, 1.57, 1.73, 
##     1.7, 1.73, 1.57, 1.7, 1.7, 1.83, 1.6, 1.7, 1.85, 1.68, 1.73, 
##     1.78, 1.6, 1.63, 1.75, 1.8, 1.63, 1.83, 1.6, 1.83, 1.63, 
##     1.78, 1.73, 1.65, 1.7, 1.63, 1.52, 1.73, 1.7, 1.75, 1.57, 
##     1.93, 1.78, 1.98, 1.7, 1.7, 1.75, 1.7, 1.65, 1.22, 1.8, 1.7, 
##     1.6, 1.85, 1.5, 1.55, 1.75, 1.68, 1.8, 1.63, 1.73, 1.85, 
##     1.7, 1.7, 1.78, 1.6, 1.65, 1.88, 1.8, 1.83, 1.73, 1.55, 1.55, 
##     1.57, 1.73, 1.8, 1.63, 1, 1.7, 1.73, 1.83, 1.57, 1.63, 1.65, 
##     1.75, 1.57, 1.83, 1.68, 1.91, 1.7, 1.68, 1.83, 1.7, 1.75, 
##     1.75, 1.6, 1.57, 1.65, 1.78, 1.63, 1.65, 1.96, 1.6, 1.75, 
##     1.8, 1.73, 1.88, 1.78, 1.63, 1.83, 1.65, 1.63, 1.78, 1.6, 
##     1.73, 1.65, 1.85, 1.68, 1.65, 1.65, 1.8, 1.65, 1.91, 1.7, 
##     1.8, 1.65, 1.91, 1.8, 1.73, 1.63, 1.63, 1.73, 1.68, 1.65, 
##     1.78, 1.57, 1.78, 1.55, 1.78, 1.52, 1.63, 1.73, 1.65, 1.78, 
##     1.83, 1.52, 1.65, 1.63, 1.7, 1.78, 1.75, 1.83, 1.68, 1.73, 
##     1.83, 1.78, 1.66, 1.7, 1.65, 1.78, 1.6, 1.75, 1.57, 1.88, 
##     1.6, 1.68, 1.96, 1.65, 1.63, 1.55, 1.75, 1.78, 1.47, 1.8, 
##     1.63, 1.75, 1.6, 1.55, 1.93, 1.88, 1.65, 1.75, 1.65, 1.7, 
##     1.73, 1.65, 1.68, 1.68, 1.73, 1.85, 1.6, 1.63, 1.57, 1.73, 
##     1.8, 1.63, 1.8, 1.88, 1.91, 1.73, 1.7, 1.68, 1.65, 1.55, 
##     1.73, 1.75, 1.68, 1.5, 1.63, 1.8, 1.8, 1.83, 1.78, 1.8, 1.63, 
##     1.68, 1.75, 1.83, 1.8, 1.7, 1.7, 1.65, 1.7, 1.73, 1.83, 1.7, 
##     1.73, 1.68, 1.73, 1.52, 1.68, 1.7, 1.63, 1.52, 1.75, 1.93, 
##     1.73, 1.7, 1.83, 1.93, 1.7, 1.57, 1.63, 1.73, 1.6, 1.63, 
##     1.75, 1.75, 1.52, 1.57, 1.85, 1.63, 1.63, 1.6, 1.85, 1.7, 
##     1.78, 1.7, 1.57, 1.88, 1.8, 1.55, 1.78, 1.83, 1.75, 1.57, 
##     1.65, 1.73, 1.7, 1.7, 1.65, 1.91, 1.7, 1.55, 1.65, 1.65, 
##     1.8, 1.68, 1.78, 1.75, 1.78, 1.7, 1.93, 1.7, 1.78, 1.8, 1.65, 
##     1.63, 1.93, 1.78, 1.6, 1.8, 1.75, 1.7, 1.83, 1.68, 1.83, 
##     1.65, 1.68, 1.7, 1.63, 1.55, 1.85, 1.65, 1.63, 1.57, 1.57, 
##     1.75, 1.78, 1.73, 1.88, 1.65, 1.83, 1.68, 1.52, 1.75, 1.88, 
##     1.83, 1.75, 1.78, 1.65, 1.68, 1.6, 1.55, 1.7, 1.52, 1.6, 
##     1.65, 1.57, 1.68, 1.75, 1.6, 1.7, 1.63, 1.75, 1.75, 1.7, 
##     1.63, 1.88, 1.78, 1.78, 1.85, 1.91, 1.65, 1.75, 1.6, 1.65, 
##     1.7, 1.78, 1.63, 1.57, 1.52, 1.6, 1.65, 1.73, 1.7, 1.8, 1.73, 
##     1.7, 1.85, 1.83, 1.5, 1.52, 1.75, 1.83, 1.78, 1.78, 1.75, 
##     1.7, 1.7, 1.68, 1.73, 1.63, 1.7, 1.68, 1.73, 1.93, 1.88, 
##     1.85, 1.85, 1.68, 1.68, 1.73, 1.57, 1.63, 1.83, 1.57, 1.73, 
##     1.8, 1.68, 1.63, 1.78, 1.63, 1.37, 1.75, 1.55, 1.73, 1.7, 
##     1.68, 1.6, 1.63, 1.6, 1.65, 1.73, 1.7, 1.93, 1.52, 1.8, 1.57, 
##     1.65, 1.63, 1.75, 1.52, 1.75, 1.52, 1.7, 1.65, 1.8, 1.63, 
##     1.52, 1.55, 1.68, 1.7, 1.75, 1.78, 1.78, 1.78, 1.57, 1.91, 
##     1.68, 1.65, 1.7, 1.68, 1.63, 1.68, 1.63, 1.65, 1.68, 1.83, 
##     1.75, 1.8, 1.73, 1.78, 1.65, 1.88, 1.75, 1.88, 1.68, 1.83, 
##     1.83, 1.65, 1.65, 1.65, 1.83, 1.8, 1.65, 1.91, 1.7, 1.63, 
##     1.75, 1.65, 1.52, 1.78, 1.88, 1.6, 1.7, 1.78, 1.93, 1.83, 
##     1.8, 1.75, 1.83, 1.75, 1.6, 1.83, 1.5, 1.63, 1.55, 1.78, 
##     1.8, 1.63, 1.7, 1.6, 1.68, 1.8, 1.73, 1.68, 1.68, 1.73, 1.65, 
##     1.75, 1.78, 1.7, 1.75, 1.52, 1.75, 1.7, 1.65, 1.63, 1.75, 
##     1.73, 1.88, 1.78, 1.68, 1.63, 1.78, 1.65, 1.7, 1.63, 1.73, 
##     1.57, 1.57, 1.93, 1.78, 1.57, 1.63, 1.63, 1.85, 1.85, 1.52, 
##     1.85, 1.68, 1.65, 1.68, 1.68, 1.73, 1.78, 1.52, 1.91, 1.75, 
##     1.6, 1.47, 1.73, 1.65, 1.75, 1.8, 1.68, 1.8, 1.7, 1.75, 1.8, 
##     1.7, 1.52, 1.78, 1.75, 1.75, 1.7, 1.78, 1.7, 1.57, 1.8, 1.7, 
##     1.6, 1.65, 1.7, 1.65, 1.52, 1.73, 1.63, 1.55, 1.63, 1.73, 
##     1.55, 1.73, 1.53, 1.6, 1.83, 1.8, 1.83, 1.68, 1.57, 1.52, 
##     1.75, 1.8, 1.7, 1.63, 1.63, 1.88, 1.57, 2.06, 1.65, 1.68, 
##     1.75, 1.6, 1.7, 1.68, 1.75, 1.68, 1.73, 1.91, 1.63, 1.63, 
##     1.93, 1.57, 1.57, 1.57, 1.75, 1.63, 1.65, 1.65, 1.65, 1.78, 
##     1.57, 1.7, 1.83, 1.63, 1.6, 1.85, 1.6, 1.8, 1.88, 1.8, 1.75, 
##     1.75, 1.88, 1.7, 1.68, 1.56, 1.68, 1.8, 1.88, 1.73, 1.68, 
##     1.75, 1.75, 1.57, 1.73, 1.65, 1.6, 1.57, 1.68, 1.83, 1.6, 
##     1.63, 1.75, 1.65, 1.78, 1.63, 1.78, 1.8, 1.91, 1.68, 1.85, 
##     1.63, 1.78, 1.63, 1.6, 1.88, 1.73, 1.73, 1.55, 1.68, 1.8, 
##     1.63, 1.68, 1.85, 1.52, 1.68, 1.8, 1.75, 1.73, 1.57, 1.96, 
##     1.77, 1.52, 1.83, 1.65, 1.68, 1.7, 1.68, 1.78, 1.73, 1.75, 
##     1.68, 1.55, 1.75, 1.65, 1.55, 1.68, 1.65, 1.73, 1.65, 1.78, 
##     1.83, 1.6, 1.52, 1.68, 1.88, 1.7, 1.68, 1.85, 1.65, 1.7, 
##     1.57, 1.7, 1.75, 1.75, 1.83, 1.7, 1.73, 1.65, 1.7, 1.55, 
##     1.6, 1.83, 1.85, 1.73, 1.68, 1.78, 1.8, 1.7, 1.68, 1.63, 
##     1.63, 1.65, 1.7, 1.8, 1.73, 1.57, 1.52, 1.63, 1.83, 1.5, 
##     1.52, 1.65, 1.63, 1.73, 1.73, 1.6, 1.68, 1.78, 1.57, 1.83, 
##     1.68, 1.73, 1.68, 1.42, 1.63, 1.73, 1.63, 1.63, 1.93, 1.6, 
##     1.85, 1.65, 1.68, 1.6, 1.73, 1.57, 1.8, 1.68, 1.83, 1.83, 
##     1.78, 1.5, 1.52, 1.85, 1.7, 1.68, 1.55, 1.57, 1.83, 1.63, 
##     1.57, 1.83, 1.75, 1.65, 1.88, 1.93, 1.75, 1.55, 1.57, 1.88, 
##     1.73, 1.8, 1.78, 1.63, 1.7, 1.8, 1.83, 1.68, 1.68, 1.65, 
##     1.52, 1.52, 1.78, 1.65, 1.68, 1.6, 1.91, 1.8, 1.68, 1.55, 
##     1.78, 1.65, 1.68, 1.55, 1.75, 1.68, 1.57, 1.68, 1.65, 1.57, 
##     1.75, 1.85, 1.78, 1.75, 1.65, 1.57, 1.83, 1.6, 1.73, 1.68, 
##     1.75, 1.68, 1.73, 1.83, 1.63, 1.6, 1.68, 1.55, 1.68, 1.65, 
##     1.68, 1.57, 1.57, 1.63, 1.63, 1.91, 1.63, 1.65, 1.78, 1.63, 
##     1.63, 1.88, 1.93, 1.63, 1.83, 1.68, 1.83, 1.68, 1.73, 1.7, 
##     1.7, 1.57, 1.52, 1.63, 1.68, 1.8, 1.7, 1.6, 1.83, 1.88, 1.55, 
##     1.78, 1.78, 1.75, 1.78, 1.83, 1.68, 1.73, 1.68, 1.78, 1.65, 
##     1.78, 1.5, 1.57, 1.7, 1.7, 1.63, 1.83, 1.88, 1.83, 1.68, 
##     1.6, 1.78, 1.68, 1.65, 1.68, 1.73, 1.73, 1.83, 1.68, 1.5, 
##     1.83, 1.68, 1.68, 1.57, 1.78, 1.73, 1.6, 1.98, 1.7, 1.55, 
##     1.68, 1.6, 1.63, 1.8, 1.83, 1.7, 1.83, 1.63, 1.83, 1.55, 
##     1.65, 1.83, 1.68, 1.83, 1.57, 1.63, 1.75, 1.6, 1.78, 1.75, 
##     1.75, 1.63, 1.75, 1.63, 1.68, 1.65, 1.68, 1.68, 1.83, 1.65, 
##     1.78, 1.52, 1.88, 1.6, 1.91, 1.55, 1.7, 1.57, 1.68, 1.75, 
##     1.65, 1.85, 1.78, 1.52, 1.57, 1.68, 1.85, 1.63, 1.73, 1.73, 
##     1.75, 1.78, 1.65, 1.63, 1.73, 1.52, 1.85, 1.57, 1.57, 1.65, 
##     1.73, 1.75, 1.73, 1.63, 1.6, 1.78, 1.83, 1.83, 1.91, 1.78, 
##     1.52, 1.78, 1.83, 1.78, 1.63, 1.63, 1.73, 1.7, 1.85, 1.63, 
##     1.65, 1.55, 1.6, 1.63, 1.78, 1.88, 1.73, 1.7, 1.7, 1.85, 
##     1.85, 1.83, 1.7, 1.73, 1.65, 1.8, 1.63, 1.75, 1.57, 1.78, 
##     1.7, 1.73, 1.6, 1.6, 1.88, 1.57, 1.85, 1.78, 1.75, 1.8, 1.7, 
##     1.63, 1.57, 1.65, 1.75, 1.6, 1.65, 1.8, 1.78, 1.83, 1.93, 
##     1.68, 1.75, 1.57, 1.78, 1.7, 1.75, 1.78, 1.78, 1.73, 1.78, 
##     1.8, 1.78, 1.57, 1.52, 1.52, 1.65, 1.55, 1.75, 1.63, 1.57, 
##     1.65, 1.78, 1.52, 1.78, 1.68, 1.8, 1.7, 1.68, 1.75, 1.85, 
##     1.8, 1.55, 1.8, 1.83, 1.88, 1.63, 1.63, 1.83, 1.57, 1.88, 
##     1.73, 1.6, 1.83, 1.57, 1.83, 1.6, 1.75, 1.7, 1.85, 1.68, 
##     1.55, 1.83, 1.75, 1.57, 1.63, 1.88, 1.8, 1.83, 1.78, 1.68, 
##     1.85, 1.68, 1.73, 1.63, 1.65, 1.7, 1.78, 1.78, 1.45, 1.55, 
##     1.7, 1.65, 1.65, 1.65, 1.5, 1.52, 1.65, 1.65, 1.68, 1.63, 
##     1.7, 1.78, 1.91, 1.55, 1.75, 1.8, 1.5, 1.73, 1.65, 1.7, 1.75, 
##     1.6, 1.8, 1.8, 1.85, 1.7, 1.78, 1.55, 1.68, 1.91, 1.68, 1.83, 
##     1.78, 1.73, 1.73, 1.85, 1.52, 1.88, 1.65, 1.68, 1.8, 1.63, 
##     1.65, 1.8, 1.8, 1.78, 1.83, 1.85, 1.68, 1.57, 1.8, 1.78, 
##     1.57, 1.57, 1.73, 1.73, 1.57, 1.6, 1.65, 1.63, 1.78, 1.7, 
##     1.68, 1.78, 1.65, 1.57, 1.78, 1.83, 1.75, 1.73, 1.52, 1.6, 
##     1.63, 1.68, 1.78, 1.78, 1.78, 1.73, 1.75, 1.7, 1.63, 1.55, 
##     1.7, 1.65, 1.68, 1.65, 1.83, 1.78, 1.65, 1.78, 1.7, 1.65, 
##     1.75, 1.63, 1.78, 1.52, 1.93, 1.68, 1.65, 1.83, 1.57, 1.65, 
##     1.68, 1.63, 1.7, 1.73, 1.83, 1.57, 1.65, 1.65, 1.6, 1.63, 
##     1.75, 1.5, 1.83, 1.85, 1.75, 1.63, 1.6, 1.73, 1.88, 1.57, 
##     1.63, 1.7, 1.75, 1.73, 1.55, 1.55, 1.68, 1.88, 1.68, 1.75, 
##     1.52, 1.6, 1.78, 1.85, 1.55, 1.63, 1.6, 1.68, 1.73, 1.8, 
##     1.8, 1.52, 1.68, 1.7, 1.78, 1.68, 1.63, 1.68, 1.55, 1.52, 
##     1.6, 1.7, 1.75, 1.55, 1.78, 1.75, 1.7, 1.6, 1.8, 1.55, 1.55, 
##     1.7, 1.5, 1.7, 1.63, 1.73, 1.65, 1.73, 1.73, 1.93, 1.73, 
##     1.57, 1.57, 1.83, 1.65, 1.55, 1.68, 1.6, 1.85, 1.73, 1.6, 
##     1.65, 1.73, 1.78, 1.73, 1.75, 1.7, 1.57, 1.88, 1.83, 1.6, 
##     1.88, 1.75, 1.79, 1.46, 1.63, 1.7, 1.78, 1.88, 1.83, 1.73, 
##     1.7, 1.63, 1.73, 1.75, 1.91, 1.78, 1.78, 1.8, 1.73, 1.68, 
##     1.63, 1.7, 1.83, 1.75, 1.88, 1.83, 1.73, 1.65, 1.7, 1.63, 
##     1.8, 1.78, 1.68, 1.7, 1.63, 1.93, 1.91, 1.6, 1.91, 1.6, 1.7, 
##     1.6, 1.65, 1.65, 1.78, 1.83, 1.63, 1.75, 1.78, 1.75, 1.7, 
##     1.68, 1.52, 1.8, 1.83, 1.52, 1.7, 1.8, 1.65, 1.63, 1.68, 
##     1.68, 1.7, 1.83, 1.52, 1.52, 1.83, 1.63, 1.65, 1.68, 1.68, 
##     1.57, 1.6, 1.55, 1.75, 1.68, 1.57, 1.83, 1.57, 1.55, 1.75, 
##     1.78, 1.7, 1.75, 1.88, 1.83, 1.88, 1.63, 1.78, 1.78, 1.63, 
##     1.65, 1.57, 1.78, 1.78, 1.83, 1.73, 1.68, 1.68, 1.8, 1.68, 
##     1.7, 1.73, 1.63, 1.65, 1.75, 1.65, 1.63, 1.78, 1.78, 1.63, 
##     1.75, 1.57, 1.7, 1.7, 1.73, 1.75, 1.68, 1.78, 1.75, 1.83, 
##     1.78, 1.73, 1.57, 1.88, 1.83, 1.68, 1.8, 1.83, 0.91, 1.83, 
##     1.78, 1.8, 1.93, 1.75, 1.7, 1.83, 1.78, 1.52, 1.52, 1.78, 
##     1.7, 1.68, 1.6, 1.78, 1.8, 1.65, 1.68, 1.52, 1.6, 1.55, 1.91, 
##     1.75, 1.83, 1.7, 1.7, 1.8, 1.68, 1.78, 1.75, 1.75, 1.52, 
##     1.52, 1.73, 1.73, 1.6, 1.57, 1.85, 1.6, 1.52, 1.57, 1.57, 
##     1.68, 1.7, 1.65, 1.73, 1.83, 1.68, 1.73, 1.7, 1.73, 1.75, 
##     1.75, 1.57, 1.83, 1.78, 1.73, 1.6, 1.5, 1.6, 1.8, 1.75, 1.6, 
##     1.52, 1.83, 1.8, 1.78, 1.6, 1.75, 1.75, 1.85, 1.73, 1.75, 
##     1.65, 1.78, 1.73, 1.57, 1.57, 1.75, 1.68, 1.8, 1.65, 1.73, 
##     1.83, 1.7, 1.8, 1.5, 1.83, 1.78, 1.57, 1.65, 1.75, 1.6, 1.75, 
##     1.65, 1.73, 1.68, 1.55, 1.83, 1.57, 1.7, 1.57, 1.85, 1.6, 
##     1.6, 1.8, 1.55, 1.7, 1.8, 1.57, 1.73, 1.83, 1.78, 1.57, 1.91, 
##     1.57, 1.85, 1.52, 1.7, 1.83, 1.8, 1.6, 1.78, 1.91, 1.88, 
##     1.8, 1.83, 1.57, 1.57, 1.68, 1.88, 1.7, 1.7, 1.57, 1.55, 
##     1.6, 1.75, 1.63, 1.75, 1.52, 1.63, 1.83, 1.85, 1.8, 1.88, 
##     2.03, 1.83, 1.73, 1.73, 1.8, 1.75, 1.75, 1.65, 1.78, 1.65, 
##     1.68, 1.63, 1.57, 1.52, 1.8, 1.73, 1.8, 1.63, 1.91, 1.73, 
##     1.7, 1.68, 1.6, 1.85, 1.63, 1.78, 1.63, 1.68, 1.83, 1.68, 
##     1.52, 1.68, 1.91, 1.6, 1.96, 1.83, 1.57, 1.65, 1.73, 1.7, 
##     1.78, 1.63, 1.83, 1.7, 1.5, 1.65, 1.78, 1.78, 1.6, 1.73, 
##     1.73, 1.75, 1.73, 1.93, 1.7, 1.57, 1.78, 1.68, 1.57, 1.7, 
##     1.8, 1.93, 1.65, 1.68, 1.93, 1.78, 1.83, 1.73, 1.75, 1.63, 
##     1.75, 1.68, 1.88, 1.63, 1.91, 1.6, 1.6, 1.83, 1.88, 1.83, 
##     1.73, 1.73, 1.93, 1.75, 1.65, 1.68, 1.68, 1.91, 1.55, 1.85, 
##     1.47, 1.96, 1.57, 1.6, 1.83, 1.63, 1.63, 1.52, 1.7, 1.8, 
##     1.8, 1.85, 1.7, 1.52, 1.85, 1.73, 1.83, 1.68, 1.55, 1.55, 
##     1.75, 1.73, 1.68, 1.73, 1.78, 1.68, 1.75, 1.88, 1.73, 1.73, 
##     1.65, 1.63, 1.57, 1.83, 1.83, 1.7, 1.85, 1.63, 1.75, 1.57, 
##     1.7, 1.7, 1.68, 1.68, 1.83, 1.8, 1.75, 1.91, 1.83, 1.68, 
##     1.65, 1.68, 1.73, 1.55, 1.78, 1.7, 1.55, 1.75, 1.8, 1.57, 
##     1.8, 1.75, 1.93, 1.7, 1.78, 1.57, 1.73, 1.57, 1.7, 1.78, 
##     1.7, 1.78, 1.85, 1.75, 1.63, 1.75, 1.8, 1.75, 1.57, 1.8, 
##     1.63, 1.83, 1.8, 1.83, 1.8, 1.52, 1.63, 1.78, 1.7, 1.45, 
##     1.57, 1.57, 1.85, 1.73, 1.55, 1.57, 1.85, 1.65, 1.68, 1.78, 
##     1.78, 1.57, 1.65, 1.8, 1.93, 1.78, 1.78, 1.73, 1.7, 1.8, 
##     1.63, 1.73, 1.8, 1.85, 1.6, 1.75, 1.78, 1.85, 1.8, 1.63, 
##     1.6, 1.65, 1.78, 1.8, 1.85, 1.63, 1.88, 1.55, 1.88, 1.6, 
##     1.78, 1.83, 1.83, 1.7, 1.75, 1.65, 1.57, 1.52, 1.57, 1.55, 
##     1.8, 1.91, 1.8, 1.8, 1.83, 1.73, 1.8, 1.7, 1.78, 1.57, 1.6, 
##     1.73, 1.7, 1.73, 1.52, 1.73, 1.63, 1.83, 1.68, 1.8, 1.65, 
##     1.63, 1.8, 1.8, 1.88, 1.57, 1.63, 1.7, 1.5, 1.73, 1.85, 1.73, 
##     1.68, 1.63, 1.85, 1.68, 1.73, 1.5, 1.91, 1.75, 1.78, 1.65, 
##     1.6, 1.8, 1.7, 1.52, 1.6, 1.91, 1.8, 1.7, 1.6, 1.6, 1.57, 
##     1.73, 1.93, 1.57, 1.8, 1.75, 1.73, 1.65, 1.57, 1.91, 1.78, 
##     1.6, 1.91, 1.7, 1.63, 1.57, 1.83, 1.68, 1.63, 1.63, 1.78, 
##     1.91, 1.83, 1.57, 1.8, 1.68, 1.88, 1.68, 1.47, 1.75, 1.73, 
##     1.85, 1.57, 1.75, 1.8, 1.78, 1.6, 1.63, 1.85, 1.63, 1.75, 
##     1.91, 1.65, 1.68, 1.83, 1.7, 1.7, 1.98, 1.83, 1.88, 1.78, 
##     1.78, 1.7, 1.88, 1.83, 1.65, 1.65, 1.78, 1.65, 1.63, 1.68, 
##     1.78, 1.65, 1.55, 1.75, 1.88, 1.68, 1.8, 1.7, 1.78, 1.8, 
##     1.57, 1.91, 1.52, 1.7, 1.88, 1.83, 1.73, 1.63, 1.68, 1.7, 
##     1.75, 1.47, 1.78, 1.65, 1.65, 1.83, 1.75, 1.7, 1.93, 1.65, 
##     1.78, 1.73, 1.65, 1.78, 1.57, 1.88, 1.63, 1.68, 1.7, 1.75, 
##     1.73, 1.63, 1.65, 1.88, 1.8, 1.83, 1.68, 1.83, 1.63, 1.6, 
##     1.78, 1.8, 1.65, 1.5, 1.8, 1.93, 1.65, 1.7, 1.68, 1.6, 1.73, 
##     1.83, 1.68, 1.73, 1.78, 1.83, 1.78, 1.68, 1.6, 1.68, 1.8, 
##     1.6, 1.73, 1.91, 1.73, 1.57, 1.7, 1.47, 1.75, 1.73, 1.68, 
##     1.57, 1.78, 1.75, 1.7, 1.65, 1.65, 1.57, 1.65, 1.78, 1.7, 
##     1.75, 1.73, 1.68, 1.6, 1.57, 1.75, 1.57, 1.63, 1.83, 1.75, 
##     1.65, 1.5, 1.78, 1.65, 1.88, 1.8, 1.75, 1.83, 1.7, 1.83, 
##     1.78, 1.85, 1.6, 1.57, 1.83, 1.55, 1.83, 1.83, 1.65, 1.91, 
##     1.73, 1.6, 1.75, 1.63, 1.47, 1.7, 1.88, 1.8, 1.75, 1.73, 
##     1.7, 1.88, 1.75, 1.65, 1.93, 1.63, 1.78, 1.73, 1.75, 1.88, 
##     2.01, 1.7, 1.68, 1.78, 1.88, 1.75, 1.85, 1.55, 1.65, 1.85, 
##     1.73, 1.7, 1.78, 1.6, 1.75, 1.63, 1.85, 1.85, 1.65, 1.63, 
##     1.78, 1.78, 1.7, 1.83, 1.83, 1.8, 1.83, 1.88, 1.78, 1.88, 
##     1.55, 1.73, 1.78, 1.83, 1.63, 1.75, 1.75, 1.57, 1.45, 1.65, 
##     1.68, 1.65, 1.73, 1.75, 1.6, 1.68, 1.91, 1.78, 1.8, 1.78, 
##     1.57, 1.75, 1.83, 1.78, 1.8, 1.7, 1.8, 1.8, 1.55, 1.63, 1.85, 
##     1.75, 1.57, 1.78, 1.91, 1.73, 1.8, 1.83, 1.73, 1.7, 1.78, 
##     1.68, 1.83, 1.63, 1.68, 1.78, 1.7, 1.78, 1.73, 1.52, 1.78, 
##     1.8, 1.91, 1.75, 1.8, 1.68, 1.6, 1.75, 1.7, 1.78, 1.68, 1.75, 
##     1.78, 1.78, 1.78, 1.73, 1.6, 1.73, 1.83, 1.68, 1.73, 1.8, 
##     1.5, 1.55, 1.8, 1.88, 1.88, 1.63, 1.85, 1.57, 1.83, 1.85, 
##     1.68, 1.63, 1.88, 1.78, 1.75, 1.75, 1.52, 1.5, 1.77, 1.78, 
##     1.75, 1.85, 1.75, 1.55, 1.68, 1.78, 1.7, 1.55, 1.78, 1.55, 
##     1.75, 1.78, 1.83, 1.75, 1.52, 1.55, 1.75, 1.35, 1.63, 1.85, 
##     1.75, 1.85, 1.88, 1.65, 1.8, 1.57, 1.6, 1.7, 1.96, 1.7, 1.68, 
##     1.7, 1.78, 1.65, 1.63, 1.78, 1.7, 1.75, 1.68, 1.93, 1.83, 
##     1.68, 1.75, 1.6, 1.75, 1.78, 1.57, 1.6, 1.7, 1.7, 1.68, 1.8, 
##     1.63, 1.71, 1.65, 1.75, 1.8, 1.55, 1.73, 1.57, 1.8, 1.6, 
##     1.6, 1.55, 1.68, 1.7, 1.8, 1.73, 1.6, 1.52, 1.7, 1.68, 1.75, 
##     1.65, 1.85, 1.73, 1.83, 1.8, 1.85, 1.8, 1.8, 1.8, 1.78, 1.68, 
##     1.83, 1.73, 1.8, 1.8, 1.73, 1.63, 1.73, 1.88, 1.52, 1.52, 
##     1.6, 1.8, 1.63, 1.57, 1.63, 1.73, 1.6, 1.57, 1.83, 1.85, 
##     1.65, 1.73, 1.68, 1.6, 1.83, 1.93, 1.85, 1.83, 1.73, 1.83, 
##     1.6, 1.78, 1.88, 1.83, 1.8, 1.57, 1.85, 1.63, 1.75, 1.73, 
##     1.57, 1.78, 1.8, 1.78, 1.63, 1.83, 1.78, 1.75, 1.65, 1.8, 
##     1.75, 1.83, 1.57, 1.73, 1.52, 1.57, 1.8, 1.68, 1.65, 1.6, 
##     1.75, 1.68, 1.7, 1.73, 1.68, 1.93, 1.75, 1.8, 1.8, 1.83, 
##     1.85, 1.91, 1.83, 1.78, 1.7, 1.68, 1.88, 1.65, 1.7, 1.8, 
##     1.7, 1.63, 1.65, 1.83, 1.68, 1.78, 1.78, 1.7, 1.63, 1.63, 
##     1.7, 1.63, 1.68, 1.78, 1.83, 1.73, 1.5, 1.52, 1.91, 1.73, 
##     1.8, 1.68, 1.83, 1.6, 1.75, 1.68, 1.73, 1.52, 1.57, 1.5, 
##     1.83, 1.78, 1.57, 1.78, 1.55, 1.8, 1.65, 1.7, 1.7, 1.65, 
##     1.6, 1.57, 1.85, 1.7, 1.8, 1.78, 1.6, 1.65, 1.7, 1.73, 1.63, 
##     1.65, 1.5, 1.85, 1.73, 1.68, 1.6, 1.73, 1.8, 1.83, 1.73, 
##     1.83, 1.83, 1.78, 1.73, 1.7, 1.73, 1.85, 1.63, 1.78, 1.7, 
##     1.65, 1.83, 1.63, 1.57, 1.78, 1.63, 1.68, 1.83, 1.85, 1.6, 
##     1.83, 1.57, 1.63, 1.7, 1.75, 1.73, 1.78, 1.68, 1.7, 1.85, 
##     1.75, 1.7, 1.6, 1.88, 1.68, 1.63, 1.55, 1.78, 1.65, 1.78, 
##     1.68, 1.8, 1.83, 1.55, 1.6, 1.68, 1.91, 1.78, 1.57, 1.65, 
##     1.68, 1.8, 1.75, 1.63, 1.7, 1.78, 1.52, 1.8, 1.65, 1.57, 
##     1.7, 1.78, 1.63, 1.6, 1.78, 1.68, 1.75, 1.68, 1.63, 1.68, 
##     1.63, 1.93, 1.73, 1.63, 1.83, 1.55, 1.75, 1.88, 1.5, 1.57, 
##     1.52, 1.73, 1.6, 1.78, 1.52, 1.6, 1.68, 1.8, 1.63, 1.68, 
##     1.75, 1.57, 1.7, 1.65, 1.78, 1.8, 1.6, 1.73, 1.65, 1.57, 
##     1.75, 1.75, 1.7, 1.6, 1.73, 1.83, 1.7, 1.78, 1.7, 1.78, 1.83, 
##     1.68, 1.45, 1.6, 1.83, 1.57, 1.63, 1.78, 1.8, 1.73, 1.78, 
##     1.52, 1.63, 1.8, 1.62, 1.65, 1.78, 1.6, 1.52, 1.85, 1.73, 
##     1.8, 1.83, 1.68, 1.83, 1.8, 1.88, 1.88, 1.6, 1.63, 1.52, 
##     1.65, 1.8, 1.52, 1.68, 1.57, 1.65, 1.75, 1.73, 1.73, 1.78, 
##     1.83, 1.68, 1.63, 1.78, 1.7, 1.65, 1.55, 1.73, 1.73, 1.52, 
##     1.57, 1.63, 1.78, 1.78, 1.7, 1.75, 1.68, 1.75, 1.68, 1.7, 
##     1.88, 1.6, 1.83, 1.83, 1.73, 1.73, 1.6, 1.83, 1.73, 1.68, 
##     1.68, 1.55, 1.57, 1.57, 1.7, 1.65, 1.6, 1.8, 1.83, 1.75, 
##     1.8, 1.7, 1.65, 1.88, 1.88, 1.8, 1.88, 1.85, 1.68, 1.78, 
##     1.68, 1.42, 1.52, 1.75, 1.75, 1.83, 1.6, 1.83, 1.85, 1.65, 
##     1.47, 1.75, 1.68, 1.57, 1.6, 1.85, 1.75, 1.68, 1.75, 1.7, 
##     1.63, 1.6, 1.78, 1.83, 1.63, 1.7, 1.55, 1.85, 1.85, 1.7, 
##     1.55, 1.63, 1.52, 1.88, 1.93, 1.78, 1.8, 1.57, 1.88, 1.68, 
##     1.68, 1.78, 1.68, 1.85, 1.73, 1.68, 1.65, 1.73, 1.78, 1.78, 
##     1.78, 1.63, 1.73, 1.83, 1.6, 1.91, 1.73, 1.65, 1.5, 1.68, 
##     1.63, 1.55, 1.78, 1.8, 1.73, 1.73, 1.78, 1.75, 1.83, 1.83, 
##     1.83, 1.65, 1.5, 1.63, 1.55, 1.63, 1.7, 1.85, 1.6, 1.68, 
##     1.42, 1.68, 1.65, 1.75, 1.8, 1.73, 1.78, 1.65, 1.83, 1.75, 
##     1.73, 1.75, 1.73, 1.68, 1.63, 1.75, 1.78, 1.7, 1.73, 1.52, 
##     1.57, 1.63, 1.63, 1.73, 1.55, 1.78, 1.83, 1.83, 1.68, 1.8, 
##     1.7, 1.83, 1.7, 1.85, 1.7, 1.6, 1.75, 1.7, 1.78, 1.83, 1.88, 
##     1.65, 1.91, 1.75, 1.75, 1.68, 1.68, 1.78, 1.75, 1.96, 1.7, 
##     1.75, 1.65, 1.6, 1.83, 1.55, 1.75, 1.63, 1.6, 1.63, 1.63, 
##     1.83, 1.75, 1.57, 1.78, 1.65, 1.57, 1.83, 1.78, 1.6, 1.5, 
##     1.7, 1.75, 1.83, 1.63, 1.88, 1.37, 1.8, 1.75, 1.78, 1.68, 
##     1.88, 1.57, 1.75, 1.47, 1.78, 1.83, 1.65, 1.93, 1.88, 1.63, 
##     1.63, 1.78, 1.55, 1.57, 1.78, 1.78, 1.75, 1.75, 1.8, 1.6, 
##     1.73, 1.7, 1.8, 1.83, 1.7, 1.68, 1.8, 1.63, 1.73, 1.6, 1.6, 
##     1.65, 1.83, 1.75, 1.68, 1.73, 1.8, 1.78, 1.55, 1.8, 1.88, 
##     1.78, 1.7, 1.65, 1.78, 1.83, 1.7, 1.75, 1.7, 1.7, 1.85, 1.98, 
##     1.68, 1.63, 1.78, 1.83, 1.68, 1.85, 1.78, 1.88, 1.7, 1.75, 
##     1.55, 1.88, 1.55, 1.65, 1.65, 1.63, 1.68, 1.6, 1.93, 1.83, 
##     1.78, 1.65, 1.88, 1.8, 1.78, 1.68, 1.7, 1.52, 1.68, 1.78, 
##     1.68, 1.83, 1.88, 1.55, 1.78, 1.73, 1.73, 1.68, 1.68, 1.7, 
##     1.78, 1.55, 1.55, 1.75, 1.68, 1.5, 1.83, 1.57, 1.83, 1.65, 
##     1.88, 1.65, 1.57, 1.8, 1.65, 1.7, 1.83, 1.65, 1.8, 1.57, 
##     1.6, 2.01, 1.7, 1.65, 1.78, 1.83, 1.6, 1.88, 1.68, 1.7, 1.63, 
##     1.7, 1.68, 1.88, 1.57, 1.63, 1.73, 1.68, 1.73, 1.57, 1.8, 
##     1.75, 1.6, 1.78, 1.75, 1.65, 1.73, 1.52, 1.73, 1.63, 1.6, 
##     1.75, 1.68, 1.75, 1.57, 1.83, 1.57, 1.83, 1.83, 1.75, 1.78, 
##     1.91, 1.63, 1.75, 1.63, 1.63, 1.63, 1.73, 1.65, 1.96, 1.78, 
##     1.65, 1.75, 1.68, 1.57, 1.75, 1.73, 1.7, 1.78, 1.75, 1.73, 
##     1.7, 1.6, 1.83, 1.7, 1.6, 1.5, 1.83, 1.83, 1.5, 1.73, 1.73, 
##     1.8, 1.85, 1.8, 1.83, 1.65, 1.78, 1.68, 1.5, 1.75, 1.73, 
##     1.85, 1.78, 1.78, 1.8, 1.78, 1.8, 1.55, 1.65, 1.75, 1.65, 
##     1.83, 1.68, 1.68, 1.7, 1.73, 1.5, 1.83, 1.57, 1.85, 1.75, 
##     1.85, 1.68, 1.75, 1.8, 1.7, 1.8, 1.65, 1.78, 1.75, 1.7, 1.93, 
##     1.83, 1.78, 1.7, 1.83, 1.83, 1.55, 1.55, 1.5, 1.68, 1.85, 
##     1.78, 1.83, 1.57, 1.55, 1.75, 1.8, 1.8, 1.88, 1.52, 1.65, 
##     1.68, 1.8, 1.78, 1.83, 1.7, 1.68, 1.57, 1.83, 1.78, 1.73, 
##     1.63, 1.57, 1.83, 1.7, 1.78, 1.63, 1.68, 1.88, 1.8, 1.8, 
##     1.85, 1.8, 1.83, 1.7, 1.75, 1.8, 1.8, 1.68, 1.83, 1.73, 1.6, 
##     1.52, 1.57, 1.68, 1.78, 1.63, 1.65, 1.75, 1.64, 1.85, 1.65, 
##     1.68, 1.68, 1.83, 1.75, 1.88, 1.52, 1.7, 1.63, 1.65, 1.78, 
##     1.68, 1.8, 1.7, 1.68, 1.6, 1.73, 1.7, 1.73, 1.88, 1.6, 1.8, 
##     1.68, 1.75, 1.5, 1.7, 1.73, 1.88, 1.7, 1.6, 1.73, 1.7, 1.8, 
##     1.63, 1.85, 1.8, 1.7, 1.75, 1.83, 1.57, 1.57, 1.8, 1.6, 1.8, 
##     1.83, 1.68, 1.65, 1.73, 1.78, 1.73, 1.6, 1.78, 1.83, 1.83, 
##     1.83, 1.63, 1.63, 1.78, 1.83, 1.65, 1.91, 1.68, 1.6, 1.73, 
##     1.68, 1.91, 1.65, 1.52, 1.68, 1.78, 1.65, 1.55, 1.78, 1.6, 
##     1.63, 1.83, 1.85, 1.68, 1.85, 1.57, 1.73, 1.75, 1.7, 1.57, 
##     1.55, 1.78, 1.75, 1.75, 1.96, 1.78, 1.57, 1.85, 1.6, 1.8, 
##     1.65, 1.75, 1.65, 1.63, 1.83, 1.55, 1.73, 1.91, 1.8, 1.8, 
##     1.6, 1.75, 1.7, 1.55, 1.78, 1.57, 1.93, 1.75, 1.83, 1.78, 
##     1.93, 1.78, 1.78, 1.68, 1.78, 1.7, 1.65, 1.78, 1.63, 1.65, 
##     1.8, 1.8, 1.55, 1.73, 1.75, 1.65, 1.63, 1.45, 1.7, 1.8, 1.85, 
##     1.63, 1.85, 1.78, 1.7, 1.75, 1.8, 1.57, 1.57, 1.57, 1.52, 
##     1.91, 1.63, 1.75, 1.65, 1.78, 1.65, 1.75, 1.85, 1.83, 1.75, 
##     1.83, 1.7, 1.68, 1.7, 1.5, 1.63, 1.83, 1.7, 1.83, 1.75, 1.65, 
##     1.63, 1.68, 1.88, 1.8, 1.88, 1.85, 1.6, 1.73, 1.78, 1.7, 
##     1.88, 1.73, 1.7, 1.7, 1.8, 1.52, 1.57, 1.73, 1.78, 1.68, 
##     1.8, 1.6, 1.78, 1.85, 1.73, 1.8, 1.78, 1.73, 1.8, 1.88, 1.75, 
##     1.73, 1.55, 1.52, 1.78, 1.68, 1.75, 1.5, 1.65, 1.85, 1.55, 
##     1.85, 1.7, 1.7, 1.8, 1.73, 1.88, 1.55, 1.8, 1.52, 1.75, 1.6, 
##     1.8, 1.83, 1.73, 1.8, 1.75, 1.75, 1.68, 1.83, 1.68, 1.68, 
##     1.78, 1.68, 1.7, 1.91, 1.8, 1.85, 1.85, 1.6, 1.85, 1.57, 
##     1.68, 1.68, 1.8, 1.7, 1.52, 1.85, 1.7, 1.83, 1.65, 1.7, 1.83, 
##     1.8, 1.75, 1.63, 1.78, 1.68, 1.8, 1.83, 1.78, 1.75, 1.91, 
##     1.6, 1.75, 1.6, 1.91, 1.63, 1.6, 1.68, 1.78, 1.75, 1.78, 
##     1.88, 1.7, 1.68, 1.73, 1.7, 1.65, 1.88, 1.75, 1.6, 1.78, 
##     1.6, 1.7, 1.63, 1.65, 1.78, 1.52, 1.63, 1.7, 1.8, 1.83, 1.78, 
##     1.7, 1.65, 1.83, 1.73, 1.75, 1.52, 1.6, 1.68, 1.85, 1.68, 
##     1.65, 1.83, 1.68, 1.7, 1.78, 1.68, 1.63, 1.83, 1.52, 1.83, 
##     1.78, 1.75, 1.88, 1.57, 1.57, 1.7, 1.8, 1.83, 1.85, 1.65, 
##     1.83, 1.8, 1.7, 1.88, 1.6, 1.52, 1.5, 1.68, 1.6, 1.83, 1.63, 
##     1.78, 1.73, 1.57, 1.6, 1.88, 1.7, 1.55, 1.8, 1.65, 1.88, 
##     1.73, 1.75, 1.8, 1.65, 1.65, 1.78, 1.55, 1.52, 1.68, 1.7, 
##     1.63, 1.78, 1.78, 1.52, 1.78, 1.88, 1.73, 1.75, 1.52, 1.8, 
##     1.75, 1.75, 1.7, 1.83, 1.83, 1.78, 1.85, 1.55, 1.55, 1.83, 
##     1.68, 1.83, 1.8, 1.63, 1.7, 1.78, 1.83, 1.52, 1.75, 1.85, 
##     1.68, 1.68, 1.68, 1.7, 1.63, 1.83, 1.55, 1.7, 1.7, 1.83, 
##     1.6, 1.78, 1.88, 1.7, 1.52, 1.7, 1.93, 1.73, 1.85, 1.65, 
##     1.88, 1.85, 1.8, 1.57, 1.78, 1.78, 1.65, 1.73, 1.7, 1.83, 
##     1.7, 1.91, 1.78, 1.65, 1.73, 1.88, 1.75, 1.6, 1.57, 1.75, 
##     1.8, 1.52, 1.65, 1.7, 1.93, 1.65, 1.73, 1.65, 1.85, 1.7, 
##     1.63, 1.83, 1.63, 1.7, 1.75, 1.7, 1.57, 1.78, 1.8, 1.65, 
##     1.55, 1.7, 1.73, 1.68, 1.83, 1.63, 1.68, 1.63, 1.73, 1.6, 
##     1.75, 1.8, 1.55, 1.75, 1.73, 1.63, 1.68, 1.5, 1.57, 1.83, 
##     1.85, 1.68, 1.63, 1.83, 1.78, 1.8, 1.52, 1.63, 1.75, 1.68, 
##     1.63, 1.88, 1.57, 1.7, 1.73, 1.6, 1.6, 1.78, 1.55, 1.8, 1.65, 
##     1.73, 1.75, 1.63, 1.88, 1.68, 1.7, 1.5, 1.78, 1.65, 1.8, 
##     1.75, 1.78, 1.63, 1.7, 1.8, 1.68, 1.07, 1.75, 1.75, 1.7, 
##     1.65, 1.6, 1.6, 1.8, 1.57, 1.83, 1.8, 1.8, 1.52, 1.73, 1.57, 
##     1.78, 1.65, 1.75, 1.68, 1.65, 1.75, 1.7, 1.55, 1.65, 1.83, 
##     1.8, 1.55, 1.8, 1.83, 1.68, 1.65, 1.8, 1.78, 1.47, 1.73, 
##     1.88, 1.73, 1.7, 1.7, 1.7, 1.63, 1.68, 1.73, 1.75, 1.7, 1.7, 
##     1.75, 1.55, 1.65, 1.65, 1.85, 1.63, 1.7, 1.65, 1.7, 1.75, 
##     1.7, 1.75, 1.57, 1.57, 1.78, 1.75, 1.63, 1.68, 1.5, 1.73, 
##     1.78, 1.55, 1.8, 1.83, 1.78, 1.75, 1.83, 1.75, 1.68, 1.8, 
##     1.6, 1.78, 1.6, 1.68, 1.7, 1.75, 1.73, 1.73, 1.85, 1.78, 
##     1.78, 1.75, 1.65, 1.83, 1.7, 1.7, 1.83, 1.73, 1.98, 1.73, 
##     1.75, 1.7, 1.68, 1.78, 1.75, 1.57, 1.57, 1.7, 1.85, 1.55, 
##     1.88, 1.65, 1.68, 1.98, 1.63, 1.65, 1.83, 1.5, 1.75, 1.75, 
##     1.6, 1.7, 1.78, 1.65, 1.85, 1.78, 1.73, 1.6, 1.52, 1.65, 
##     1.6, 1.7, 1.68, 1.6, 1.83, 1.55, 1.57, 1.75, 1.65, 1.63, 
##     1.8, 1.7, 1.63, 1.65, 1.68, 1.55, 1.63, 1.78, 1.7, 1.73, 
##     1.8, 1.93, 1.6, 1.63, 1.52, 1.88, 1.73, 1.73, 1.75, 1.7, 
##     1.63, 1.65, 1.83, 1.68, 1.55, 1.32, 1.73, 1.78, 1.68, 1.68, 
##     1.6, 1.75, 1.55, 1.63, 1.83, 1.57, 1.73, 1.73, 1.73, 1.83, 
##     1.7, 1.75, 1.85, 1.91, 1.6, 1.78, 1.73, 1.88, 1.73, 1.52, 
##     1.52, 1.57, 1.8, 1.8, 1.73, 1.78, 1.6, 1.68, 1.73, 1.73, 
##     1.63, 1.68, 1.7, 1.6, 1.83, 1.6, 1.63, 1.91, 1.68, 1.85, 
##     1.63, 1.8, 1.73, 1.73, 1.55, 1.75, 1.5, 1.6, 1.85, 1.78, 
##     1.73, 1.57, 1.73, 1.68, 1.73, 1.93, 1.83, 1.8, 1.6, 1.78, 
##     1.7, 1.75, 1.8, 1.83, 1.57, 1.78, 1.83, 1.5, 1.7, 1.75, 1.78, 
##     1.78, 1.8, 1.83, 1.91, 1.91, 1.73, 1.7, 1.78, 1.83, 1.91, 
##     1.68, 1.68, 1.73, 1.68, 1.52, 1.73, 1.83, 1.8, 1.73, 1.65, 
##     1.88, 1.57, 1.6, 1.63, 1.6, 1.73, 1.65, 1.63, 1.83, 1.8, 
##     1.68, 1.7, 1.78, 1.63, 1.8, 1.75, 1.8, 1.7, 1.57, 1.75, 1.63, 
##     1.7, 1.75, 1.85, 1.85, 1.73, 1.83, 1.78, 1.55, 1.55, 1.78, 
##     1.8, 1.75, 1.75, 1.98, 1.78, 1.73, 1.8, 1.78, 1.8, 2.01, 
##     1.83, 1.65, 1.65, 1.75, 1.57, 1.83, 1.83, 1.91, 1.73, 1.85, 
##     1.75, 1.7, 1.8, 1.85, 1.65, 1.65, 1.7, 1.83, 1.68, 1.83, 
##     1.75, 1.8, 1.75, 1.73, 1.57, 1.78, 1.63, 1.63, 1.75, 1.52, 
##     1.7, 1.8, 1.65, 1.68, 1.73, 1.63, 1.8, 1.78, 1.8, 1.83, 1.57, 
##     1.78, 2.03, 1.73, 1.91, 1.5, 1.73, 1.91, 1.6, 1.78, 1.75, 
##     1.7, 1.8, 1.7, 1.55, 1.88, 1.8, 1.78, 1.57, 1.75, 1.52, 1.55, 
##     1.8, 1.57, 1.7, 1.63, 1.75, 1.85, 1.63, 1.6, 1.78, 2.13, 
##     1.73, 1.75, 1.85, 1.57, 1.73, 1.24, 1.6, 1.75, 1.93, 1.63, 
##     1.85, 1.75, 1.52, 1.75, 1.75, 1.7, 1.75, 1.96, 1.7, 1.68, 
##     1.68, 1.7, 1.85, 1.65, 1.75, 1.68, 1.7, 1.7, 1.78, 1.63, 
##     1.75, 1.6, 1.78, 1.5, 1.91, 1.78, 1.7, 1.73, 1.78, 1.8, 1.83, 
##     1.73, 1.68, 1.91, 1.68, 1.73, 1.63, 1.73, 1.73, 1.65, 1.8, 
##     1.63, 1.65, 1.83, 1.8, 1.75, 1.57, 1.63, 1.88, 1.55, 1.7, 
##     1.63, 1.75, 1.6, 1.7, 1.52, 1.63, 1.78, 1.83, 1.65, 1.75, 
##     1.65, 1.63, 1.7, 1.73, 1.75, 1.65, 1.78, 1.7, 1.57, 1.6, 
##     1.63, 1.78, 1.85, 1.7, 1.65, 1.73, 1.55, 1.91, 1.6, 1.7, 
##     1.75, 1.7, 1.47, 1.63, 1.8, 1.47, 1.65, 1.91, 1.5, 1.63, 
##     1.78, 1.78, 1.57, 1.73, 1.68, 1.68, 1.6, 1.88, 1.78, 1.55, 
##     1.68, 1.73, 1.78, 1.75, 1.78, 1.63, 1.68, 1.91, 1.63, 1.75, 
##     1.6, 1.6, 1.65, 1.75, 1.65, 1.63, 1.68, 1.85, 1.65, 1.93, 
##     1.55, 1.52, 1.6, 1.78, 1.6, 1.55, 1.7, 1.73, 1.68, 1.91, 
##     1.83, 1.57, 1.68, 1.8, 1.55, 1.73, 1.63, 1.88, 1.8, 1.75, 
##     1.78, 1.68, 1.83, 1.68, 1.65, 1.88, 1.6, 1.7, 1.78, 1.78, 
##     1.57, 1.75, 1.85, 1.68, 1.73, 1.96, 1.63, 1.7, 1.65, 1.65, 
##     1.8, 1.63, 1.73, 1.83, 1.7, 1.7, 1.63, 1.68, 1.63, 1.73, 
##     1.6, 1.73, 1.47, 1.68, 1.6, 1.52, 1.52, 1.83, 1.63, 1.83, 
##     1.83, 1.88, 1.65, 1.57, 1.83, 1.57, 1.52, 1.57, 1.42, 1.75, 
##     1.91, 1.57, 1.73, 1.6, 1.65, 1.78, 1.73, 1.63, 1.68, 1.78, 
##     1.63, 1.65, 1.65, 1.85, 1.83, 1.5, 1.83, 1.68, 1.63, 1.6, 
##     1.65, 1.65, 1.8, 1.63, 1.63, 1.6, 1.68, 1.73, 1.68, 1.78, 
##     1.6, 1.75, 1.78, 1.8, 1.88, 1.55, 1.6, 1.52, 1.68, 1.7, 1.65, 
##     1.68, 1.57, 1.88, 1.78, 1.7, 1.6, 1.68, 1.73, 1.65, 1.52, 
##     1.83, 1.6, 1.78, 1.52, 1.85, 1.83, 1.78, 1.8, 1.88, 1.73, 
##     1.8, 1.68, 1.55, 1.52, 1.75, 1.52, 1.63, 2.08, 1.7, 1.88, 
##     1.57, 1.73, 1.6, 1.78, 1.83, 1.68, 1.91, 1.68, 1.73, 1.52, 
##     1.91, 1.65, 1.7, 1.68, 1.52, 1.68, 1.68, 1.75, 1.91, 1.7, 
##     1.83, 1.52, 1.75, 1.55, 1.78, 1.6, 1.68, 1.83, 1.75, 1.68, 
##     1.73, 1.73, 1.6, 1.83, 1.6, 1.65, 1.57, 1.68, 1.85, 1.7, 
##     1.63, 1.65, 1.83, 1.57, 1.6, 1.65, 1.83, 1.65, 1.57, 1.6, 
##     1.88, 1.68, 1.68, 1.63, 1.83, 1.57, 1.78, 1.63, 1.57, 1.68, 
##     1.68, 1.73, 1.7, 1.65, 1.63, 1.75, 1.8, 1.75, 1.6, 1.78, 
##     1.6, 1.85, 1.85, 1.7, 1.5, 1.7, 1.73, 1.63, 1.68, 1.68, 1.68, 
##     1.7, 1.78, 1.63, 1.8, 1.98, 1.73, 1.73, 1.83, 1.7, 1.68, 
##     1.5, 1.6, 1.7, 1.75, 1.88, 1.65, 1.63, 1.73, 1.57, 1.85, 
##     1.78, 1.75, 1.8, 1.63, 1.91, 1.73, 1.63, 1.85, 1.8, 1.8, 
##     1.78, 1.8, 1.78, 1.6, 1.65, 1.75, 1.73, 1.57, 1.52, 1.83, 
##     1.83, 1.78, 1.52, 1.68, 1.83, 1.83, 1.63, 1.7, 1.73, 1.55, 
##     1.88, 1.68, 1.55, 1.65, 1.57, 1.68, 1.75, 1.78, 1.57, 1.65, 
##     1.8, 1.5, 1.78, 1.83, 1.8, 1.88, 1.91, 1.6, 1.65, 1.85, 1.75, 
##     1.57, 1.8, 1.6, 1.63, 1.78, 1.78, 1.65, 1.78, 1.6, 1.65, 
##     1.7, 1.52, 1.65, 1.78, 1.75, 1.65, 1.75, 1.6, 1.55, 1.8, 
##     1.75, 1.52, 1.73, 1.73, 1.68, 1.83, 1.8, 1.63, 1.68, 1.57, 
##     1.8, 1.57, 1.78, 1.88, 1.63, 1.78, 1.78, 1.7, 1.73, 1.83, 
##     1.68, 1.83, 1.75, 1.65, 1.63, 1.85, 1.65, 1.84, 1.8, 1.68, 
##     1.63, 1.68, 1.75, 1.7, 1.65, 1.57, 1.6, 1.78, 1.65, 1.6, 
##     1.4, 1.6, 1.6, 1.75, 1.88, 1.57, 1.8, 1.78, 1.8, 1.85, 1.91, 
##     1.55, 1.73, 1.63, 1.63, 1.68, 1.65, 1.78, 1.88, 1.52, 1.6, 
##     1.78, 1.6, 1.78, 1.7, 1.57, 1.57, 1.7, 1.65, 1.8, 1.63, 1.57, 
##     1.57, 1.83, 1.83, 1.75, 1.52, 1.7, 1.7, 1.65, 1.75, 1.65, 
##     1.91, 1.65, 1.52, 1.55, 1.63, 1.65, 1.63, 1.57, 1.57, 1.55, 
##     1.68, 1.83, 1.73, 1.85, 1.73, 1.78, 1.63, 1.78, 1.63, 1.7, 
##     1.78, 1.5, 1.83, 1.65, 1.5, 1.78, 1.7, 1.68, 1.75, 1.75, 
##     1.68, 1.6, 1.52, 1.75, 1.8, 1.65, 1.91, 1.68, 1.98, 1.65, 
##     1.57, 1.5, 1.75, 1.7, 1.73, 1.7, 1.65, 1.63, 1.83, 1.73, 
##     1.68, 1.83, 1.6, 1.73, 1.75, 1.85, 1.57, 1.78, 1.65, 1.75, 
##     1.83, 1.85, 1.63, 1.68, 1.52, 1.57, 1.88, 1.91, 1.85, 1.57, 
##     1.68, 1.75, 1.7, 1.75, 1.8, 1.57, 1.6, 1.73, 1.85, 1.8, 1.63, 
##     1.83, 1.83, 1.68, 1.57, 1.78, 1.73, 1.78, 1.8, 1.5, 1.73, 
##     1.7, 1.68, 1.75, 1.7, 1.85, 1.7, 1.68, 1.52, 1.7, 1.65, 1.83, 
##     1.65, 1.8, 1.78, 1.83, 1.91, 1.7, 1.8, 1.8, 1.8, 1.63, 1.78, 
##     1.68, 1.7, 1.65, 1.83, 1.57, 1.78, 1.83, 1.7, 1.83, 1.78, 
##     1.65, 1.68, 1.55, 1.7, 1.63, 1.83, 1.73, 1.85, 1.73, 1.78, 
##     1.7, 1.85, 1.83, 1.6, 1.8, 1.63, 1.7, 1.91, 1.6, 1.75, 1.7, 
##     1.8, 1.6, 1.8, 1.8, 1.65, 1.7, 1.6, 1.68, 1.78, 1.68, 1.63, 
##     1.5, 1.57, 1.5, 1.73, 1.73, 1.52, 1.88, 1.83, 1.68, 1.68, 
##     1.85, 1.73, 1.6, 1.68, 1.68, 1.8, 1.7, 1.78, 1.55, 1.6, 1.78, 
##     1.68, 1.57, 1.65, 1.68, 1.63, 1.83, 1.78, 1.7, 1.83, 1.8, 
##     1.78, 1.5, 1.73, 1.73, 1.7, 1.83, 1.68, 1.65, 1.75, 1.78, 
##     1.7, 1.63, 1.78, 1.68, 1.65, 1.68, 1.52, 1.83, 1.7, 1.7, 
##     1.75, 1.75, 1.91, 1.73, 1.68, 1.78, 1.73, 1.73, 1.78, 1.7, 
##     1.83, 1.73, 1.83, 1.63, 1.52, 1.73, 1.68, 1.7, 1.65, 1.52, 
##     1.8, 1.68, 1.78, 1.8, 1.68, 1.68, 1.55, 1.78, 1.63, 1.55, 
##     1.83, 1.88, 1.68, 1.78, 1.8, 1.63, 1.68, 1.83, 1.8, 1.73, 
##     1.68, 1.7, 1.8, 1.83, 1.78, 1.57, 1.78, 1.63, 1.63, 1.57, 
##     1.8, 1.78, 1.78, 1.55, 1.75, 1.65, 1.63, 1.55, 1.83, 1.85, 
##     1.55, 1.78, 1.83, 1.55, 1.57, 1.8, 1.5, 1.57, 1.65, 1.8, 
##     1.65, 1.73, 1.7, 1.7, 1.57, 1.78, 1.7, 1.83, 1.78, 1.78, 
##     1.75, 1.7, 1.6, 1.68, 1.78, 1.63, 1.75, 1.78, 1.65, 1.78, 
##     1.6, 1.57, 1.73, 1.83, 1.85, 1.78, 1.57, 1.7, 1.75, 1.68, 
##     1.63, 1.68, 1.73, 1.83, 1.52, 1.8, 1.65, 1.91, 1.73, 1.7, 
##     1.78, 1.68, 1.6, 1.65, 1.6, 1.78, 1.63, 1.73, 1.73, 1.8, 
##     1.8, 1.8, 1.63, 1.88, 1.73, 1.78, 1.73, 1.7, 1.8, 1.47, 1.83, 
##     1.68, 1.8, 1.73, 1.55, 1.73, 1.7, 1.73, 1.68, 1.55, 1.83, 
##     1.65, 1.45, 1.83, 1.75, 1.68, 1.75, 1.75, 1.8, 1.65, 1.85, 
##     1.85, 1.75, 1.65, 1.7, 1.63, 1.57, 1.8, 1.73, 1.91, 1.55, 
##     1.6, 1.75, 1.73, 1.83, 1.22, 1.52, 1.57, 1.7, 1.78, 1.68, 
##     1.57, 1.83, 1.78, 1.45, 1.68, 1.6, 1.85, 1.63, 1.78, 1.7, 
##     1.73, 1.83, 1.7, 1.73, 1.8, 1.78, 1.6, 1.8, 1.78, 1.63, 1.63, 
##     1.85, 1.78, 1.88, 1.6, 1.65, 1.57, 1.93, 1.85, 1.68, 1.75, 
##     1.75, 1.83, 1.65, 1.75, 1.73, 1.63, 1.63, 1.78, 1.57, 1.83, 
##     1.65, 1.88, 1.57, 1.78, 1.78, 1.57, 1.93, 1.83, 1.73, 1.68, 
##     1.65, 1.68, 1.63, 1.73, 1.5, 1.8, 1.57, 1.75, 1.78, 1.68, 
##     1.73, 1.78, 1.7, 1.7, 1.91, 1.6, 1.52, 1.63, 1.83, 1.32, 
##     1.65, 1.73, 1.7, 1.93, 1.83, 1.6, 1.73, 1.7, 1.47, 1.78, 
##     1.75, 1.6, 1.78, 1.78, 1.7, 1.8, 1.68, 1.6, 1.78, 1.83, 1.57, 
##     1.68, 1.75, 1.91, 1.65, 1.65, 1.8, 1.78, 1.78, 1.83, 1.68, 
##     1.6, 1.8, 1.65, 1.6, 1.85, 1.75, 1.7, 1.63, 1.8, 1.7, 1.73, 
##     1.68, 1.7, 1.78, 1.6, 1.6, 1.8, 1.57, 1.85, 1.7, 1.73, 1.75, 
##     1.83, 1.65, 1.7, 1.78, 1.85, 1.85, 1.83, 1.78, 1.75, 1.8, 
##     1.83, 1.85, 1.68, 1.83, 1.78, 1.65, 1.7, 1.68, 1.8, 1.55, 
##     1.57, 1.83, 1.78, 1.85, 1.6, 1.83, 1.91, 1.73, 1.83, 1.83, 
##     1.75, 1.78, 1.75, 1.78, 1.75, 1.63, 1.63, 1.75, 1.73, 1.83, 
##     1.83, 1.63, 1.7, 1.68, 1.68, 1.83, 1.7, 1.68, 1.55, 1.65, 
##     1.83, 1.7, 1.73, 1.88, 1.7, 1.65, 1.83, 1.55, 1.42, 1.73, 
##     1.65, 1.73, 1.73, 1.65, 1.55, 1.73, 1.7, 1.55, 1.68, 1.63, 
##     1.75, 1.63, 1.85, 1.57, 1.47, 1.8, 1.68, 1.65, 1.68, 1.63, 
##     1.73, 1.73, 1.7, 1.57, 1.93, 1.8, 1.73, 1.63, 1.57, 1.73, 
##     1.6, 1.91, 1.63, 1.55, 1.6, 1.5, 1.57, 1.65, 1.63, 1.8, 1.85, 
##     1.57, 1.52, 1.65, 1.83, 1.55, 1.75, 1.85, 1.63, 1.68, 1.68, 
##     1.6, 1.6, 1.75, 1.68, 1.63, 1.8, 1.8, 1.78, 1.63, 1.83, 1.8, 
##     1.63, 1.6, 1.8, 1.8, 1.68, 1.57, 1.7, 1.8, 1.83, 1.65, 1.68, 
##     1.8, 1.57, 1.85, 1.57, 1.75, 1.68, 1.8, 1.8, 1.75, 1.83, 
##     1.57, 1.75, 1.55, 1.75, 1.91, 1.63, 1.68, 1.78, 1.75, 1.83, 
##     1.63, 1.65, 1.73, 1.7, 1.65, 1.75, 1.7, 1.57, 1.78, 1.6, 
##     1.78, 1.65, 1.68, 1.78, 1.78, 1.7, 1.78, 1.75, 1.8, 1.68, 
##     1.57, 1.55, 1.83, 1.5, 1.73, 1.78, 1.57, 1.57, 1.8, 1.85, 
##     1.83, 1.88, 1.83, 1.78, 1.8, 1.52, 1.78, 1.75, 1.45, 1.78, 
##     1.88, 1.68, 1.8, 1.78, 1.78, 1.78, 1.73, 1.63, 1.8, 1.73, 
##     1.63, 1.75, 1.52, 1.6, 1.63, 1.73, 1.65, 1.83, 1.88, 1.68, 
##     1.68, 1.47, 1.5, 1.8, 1.6, 1.68, 1.73, 1.57, 1.78, 1.85, 
##     1.63, 1.8, 1.78, 1.83, 1.63, 1.73, 1.73, 1.83, 1.63, 1.91, 
##     1.73, 1.73, 2.01, 1.73, 1.75, 1.78, 1.73, 1.68, 1.75, 1.88, 
##     1.8, 1.7, 1.68, 1.65, 1.7, 1.83, 1.63, 1.7, 1.8, 1.75, 1.88, 
##     1.65, 1.73, 1.6, 1.83, 1.91, 1.78, 1.8, 1.91, 1.91, 1.78, 
##     1.52, 1.57, 1.68, 1.7, 1.55, 1.63, 1.6, 1.73, 1.7, 1.68, 
##     1.75, 1.78, 1.7, 1.6, 1.85, 1.57, 1.57, 1.75, 1.78, 1.8, 
##     1.78, 1.63, 1.75, 1.75, 1.52, 1.7, 1.68, 1.78, 1.73, 1.68, 
##     1.78, 1.83, 1.78, 1.73, 1.7, 1.65, 1.73, 1.5, 1.73, 1.78, 
##     1.6, 1.75, 1.7, 1.55, 1.55, 1.78, 1.88, 1.83, 1.8, 1.7, 1.85, 
##     1.88, 1.93, 1.6, 1.5, 1.65, 1.75, 1.7, 1.68, 1.7, 1.6, 1.75, 
##     1.7, 1.8, 1.75, 1.63, 1.83, 1.83, 1.7, 1.5, 1.78, 1.78, 1.68, 
##     1.83, 1.88, 1.73, 1.75, 1.65, 1.63, 1.7, 1.91, 1.68, 1.78, 
##     1.55, 1.68, 1.75, 1.6, 1.65, 1.65, 1.75, 1.65, 1.83, 1.7, 
##     1.8, 1.85, 1.83, 1.63, 1.63, 1.91, 1.8, 1.8, 1.78, 1.73, 
##     1.73, 1.73, 1.65, 1.73, 1.7, 1.75, 1.63, 1.88, 1.91, 1.65, 
##     1.78, 1.7, 1.88, 1.7, 1.57, 1.73, 1.65, 1.88, 1.88, 1.63, 
##     1.68, 1.75, 1.83, 1.75, 1.73, 1.78, 1.78, 1.52, 1.8, 1.65, 
##     1.73, 1.8, 1.45, 1.52, 1.83, 1.88, 1.63, 1.55, 1.7, 1.8, 
##     1.65, 1.73, 1.73, 1.63, 1.63, 1.75, 1.68, 1.68, 1.6, 1.75, 
##     1.8, 1.6, 1.85, 1.52, 1.5, 1.68, 1.8, 1.5, 1.52, 1.78, 1.88, 
##     1.83, 1.6, 1.52, 1.65, 1.75, 1.78, 1.63, 1.85, 1.65, 1.63, 
##     1.91, 1.75, 1.83, 1.73, 1.6, 1.8, 1.7, 1.57, 1.63, 1.7, 1.8, 
##     1.88, 1.8, 1.57, 1.73, 1.88, 1.88, 1.75, 1.57, 1.65, 1.73, 
##     1.55, 1.75, 1.68, 1.63, 1.93, 1.83, 1.75, 1.73, 1.8, 1.78, 
##     1.6, 1.8, 1.63, 1.85, 1.78, 1.55, 1.7, 1.75, 1.42, 1.68, 
##     1.75, 1.68, 1.75, 1.75, 1.75, 1.78, 1.7, 1.68, 1.6, 1.6, 
##     1.73, 1.68, 1.88, 1.73, 1.75, 1.65, 1.57, 1.7, 1.7, 1.65, 
##     1.63, 1.75, 1.52, 1.52, 1.85, 1.78, 1.68, 1.78, 1.52, 1.93, 
##     1.73, 1.83, 1.65, 1.75, 1.5, 1.55, 1.7, 1.73, 1.68, 1.75, 
##     1.85, 1.6, 1.85, 1.57, 1.63, 1.52, 1.63, 1.55, 1.83, 1.88, 
##     1.68, 1.98, 1.63, 1.57, 1.83, 1.83, 1.65, 1.63, 1.65, 1.68, 
##     1.65, 1.7, 1.68, 1.7, 1.68, 1.68, 1.78, 1.65, 1.6, 1.55, 
##     1.75, 1.57, 1.65, 1.7, 1.83, 1.65, 1.68, 1.83, 1.91, 1.75, 
##     1.65, 1.7, 1.6, 1.83, 1.63, 1.68, 1.88, 1.83, 1.65, 1.78, 
##     1.91, 1.75, 1.57, 1.7, 1.68, 1.73, 1.78, 1.7, 1.52, 1.57, 
##     1.93, 1.75, 1.7, 1.68, 1.88, 1.73, 1.83, 1.65, 1.75, 1.68, 
##     1.7, 1.55, 1.68, 1.78, 1.57, 1.8, 1.75, 1.65, 1.5, 1.68, 
##     1.8, 1.83, 1.68, 1.55, 1.7, 1.8, 1.88, 1.8, 1.85, 1.8, 1.6, 
##     1.88, 1.75, 1.8, 1.68, 1.88, 1.8, 1.83, 1.63, 1.63, 1.63, 
##     1.7, 1.65, 1.52, 1.8, 1.8, 1.8, 1.83, 1.78, 1.63, 1.85, 1.78, 
##     1.73, 1.52, 1.83, 1.83, 1.57, 1.8, 1.63, 1.78, 1.78, 1.75, 
##     1.8, 1.63, 1.78, 1.78, 1.83, 1.7, 1.73, 1.75, 1.6, 1.73, 
##     1.85, 1.5, 1.75, 1.7, 1.7, 1.75, 1.68, 1.85, 1.63, 1.78, 
##     1.68, 1.88, 1.91, 1.85, 1.85, 1.83, 1.6, 1.6, 1.8, 1.8, 1.93, 
##     1.5, 1.7, 1.6, 1.8, 1.78, 1.83, 1.96, 1.57, 1.63, 1.73, 1.8, 
##     1.83, 1.63, 1.6, 1.83, 1.7, 1.8, 1.75, 1.68, 1.88, 1.75, 
##     1.83, 1.68, 1.73, 1.83, 1.68, 1.63, 1.75, 1.55, 1.57, 1.6, 
##     1.83, 1.63, 1.68, 1.83, 1.7, 1.85, 1.6, 1.85, 1.93, 1.52, 
##     1.7, 1.68, 1.45, 1.6, 1.73, 1.63, 1.78, 1.83, 1.52, 1.57, 
##     1.75, 1.68, 1.83, 1.63, 1.88, 1.83, 1.47, 1.88, 1.68, 1.7, 
##     1.52, 1.73, 1.7, 1.65, 1.63, 1.65, 1.6, 1.78, 1.8, 1.88, 
##     1.75, 1.63, 1.57, 1.6, 1.83, 1.6, 1.8, 1.68, 1.7, 1.63, 1.78, 
##     1.78, 1.65, 1.8, 1.73, 1.73, 1.93, 1.73, 1.73, 1.52, 1.63, 
##     1.78, 1.68, 1.88, 1.85, 1.75, 1.85, 1.7, 1.8, 1.85, 1.75, 
##     1.63, 1.83, 1.85, 1.98, 1.68, 1.7, 1.83, 1.83, 1.68, 1.63, 
##     1.52, 1.91, 1.55, 1.6, 1.68, 1.78, 1.73, 1.73, 1.85, 1.78, 
##     1.75, 1.83, 1.83, 1.8, 1.57, 1.68, 1.75, 1.7, 1.75, 1.63, 
##     1.88, 1.63, 1.78, 1.57, 1.63, 1.73, 1.73, 1.5, 1.88, 1.73, 
##     1.85, 1.7, 1.68, 1.7, 1.78, 1.83, 1.88, 1.68, 1.7, 1.78, 
##     1.7, 1.8, 1.75, 1.7, 1.57, 1.63, 1.83, 1.88, 1.83, 1.78, 
##     1.78, 1.85, 1.7, 1.78, 1.65, 1.63, 1.7, 1.7, 1.75, 1.8, 1.7, 
##     1.8, 1.7, 1.7, 1.85, 1.73, 1.78, 1.73, 1.7, 1.88, 1.75, 1.57, 
##     1.75, 1.83, 1.65, 1.63, 1.83, 1.7, 1.68, 1.52, 1.75, 1.45, 
##     1.65, 1.6, 1.68, 1.7, 1.63, 1.7, 1.78, 1.6, 1.83, 1.65, 1.83, 
##     1.85, 1.8, 1.68, 1.75, 1.83, 1.93, 1.52, 1.75, 1.75, 1.55, 
##     1.68, 1.8, 1.73, 2.01, 1.68, 1.5, 1.88, 1.73, 1.68, 1.63, 
##     1.8, 1.78, 1.7, 1.6, 1.7, 1.63, 1.8, 1.57, 1.65, 1.75, 1.7, 
##     1.68, 1.63, 1.78, 1.78, 1.73, 1.78, 1.5, 1.88, 1.8, 1.7, 
##     1.7, 1.8, 1.85, 1.78, 1.7, 1.68, 1.7, 1.8, 1.73, 1.75, 1.7, 
##     1.83, 1.68, 1.57, 1.75, 1.55, 1.91, 1.83, 1.57, 1.75, 1.7, 
##     1.7, 1.75, 1.7, 1.75, 1.75, 1.68, 1.78, 1.83, 1.7, 1.65, 
##     1.73, 1.78, 1.65, 1.65, 1.75, 1.88, 1.85, 1.78, 1.78, 1.75, 
##     1.68, 1.57, 1.63, 1.68, 1.83, 1.75, 1.75, 1.73, 1.5, 1.73, 
##     1.83, 1.73, 1.83, 1.78, 1.8, 1.65, 1.57, 1.57, 1.65, 1.8, 
##     1.63, 1.78, 1.57, 1.6, 1.75, 1.73, 1.83, 1.73, 1.6, 1.68, 
##     1.6, 1.52, 1.63, 1.7, 1.6, 1.78, 1.78, 1.6, 1.7, 1.6, 1.68, 
##     1.8, 1.8, 1.7, 1.83, 1.5, 1.6, 1.83, 1.73, 1.55, 1.7, 1.8, 
##     1.68, 1.52, 1.78, 1.52, 1.57, 1.93, 1.68, 1.75, 1.78, 1.73, 
##     1.8, 1.6, 1.73, 1.52, 1.73, 1.7, 1.7, 1.83, 1.75, 1.65, 1.57, 
##     1.7, 1.78, 1.78, 1.83, 1.73, 1.68, 1.78, 1.78, 1.6, 1.55, 
##     1.68, 1.75, 1.57, 1.8, 1.68, 1.88, 1.63, 1.65, 1.7, 1.68, 
##     1.8, 1.8, 1.68, 1.52, 1.78, 1.65, 1.57, 1.73, 1.52, 1.75, 
##     1.57, 1.68, 1.68, 1.63, 1.6, 1.63, 1.65, 1.73, 1.52, 1.78, 
##     1.73, 1.83, 1.78, 1.8, 1.52, 1.65, 1.7, 1.6, 1.75, 1.68, 
##     1.75, 1.75, 1.7, 1.73, 1.73, 1.47, 1.78, 1.73, 1.75, 1.78, 
##     1.52, 1.68, 1.75, 1.73, 1.52, 1.75, 1.78, 1.68, 1.65, 1.75, 
##     1.63, 1.68, 1.85, 1.7, 1.83, 1.83, 1.68, 1.83, 1.52, 1.83, 
##     1.75, 1.83, 1.93, 1.22, 1.85, 1.78, 1.63, 1.83, 1.8, 1.63, 
##     1.63, 1.47, 1.73, 1.68, 1.68, 1.65, 1.78, 1.75, 1.65, 1.63, 
##     1.73, 1.7, 1.65, 1.83, 1.8, 1.78, 1.6, 1.78, 1.8, 1.83, 1.6, 
##     1.78, 1.73, 1.65, 1.75, 1.8, 1.63, 1.85, 1.78, 1.55, 1.85, 
##     1.75, 1.88, 1.63, 1.6, 1.6, 1.75, 1.7, 1.63, 1.68, 1.78, 
##     1.88, 1.7, 1.8, 1.78, 1.85, 1.75, 1.57, 1.78, 1.93, 1.75, 
##     1.63, 1.83, 1.83, 1.6, 1.57, 1.91, 1.55, 1.47, 1.8, 1.78, 
##     1.75, 1.96, 1.42, 1.55, 1.57, 1.57, 1.65, 1.91, 1.63, 1.68, 
##     1.75, 1.85, 1.57, 1.55, 1.73, 1.83, 1.88, 1.75, 1.88, 1.78, 
##     1.65, 1.57, 1.7, 1.6, 1.73, 1.63, 1.63, 1.57, 1.78, 1.75, 
##     1.85, 1.8, 1.93, 1.85, 1.78, 1.83, 1.73, 1.57, 1.78, 1.63, 
##     1.73, 1.68, 1.65, 1.83, 1.7, 1.78, 1.83, 1.52, 1.83, 1.52, 
##     1.65, 1.63, 1.91, 1.8, 1.91, 1.96, 1.73, 1.65, 1.68, 1.65, 
##     1.68, 1.73, 1.45, 1.78, 1.73, 1.85, 1.75, 1.68, 1.52, 1.5, 
##     1.78, 1.55, 1.5, 1.73, 1.7, 1.7, 1.83, 1.83, 1.65, 1.7, 1.65, 
##     1.75, 1.93, 1.52, 1.65, 1.88, 1.8, 1.8, 1.68, 1.63, 1.52, 
##     1.68, 1.73, 1.73, 1.63, 1.78, 1.7, 1.63, 1.55, 1.73, 1.75, 
##     1.68, 1.68, 1.68, 1.68, 1.75, 1.3, 1.73, 1.65, 1.8, 1.78, 
##     1.88, 1.75, 1.83, 1.85, 1.78, 1.83, 1.75, 1.73, 1.65, 1.73, 
##     1.78, 1.83, 1.73, 1.73, 1.68, 1.78, 1.57, 1.63, 1.73, 1.83, 
##     1.7, 1.78, 1.65, 1.8, 1.68, 1.8, 1.88, 1.68, 1.83, 1.88, 
##     1.85, 1.68, 1.8, 1.68, 1.83, 1.55, 1.65, 1.68, 1.83, 1.8, 
##     1.78, 1.83, 1.85, 1.83, 1.83, 1.55, 1.68, 1.8, 1.6, 1.83, 
##     1.96, 1.52, 1.88, 1.83, 1.8, 1.73, 1.68, 1.68, 1.6, 1.88, 
##     1.6, 1.88, 1.7, 1.7, 1.85, 1.68, 1.78, 1.78, 1.75, 1.68, 
##     1.73, 1.7, 1.7, 1.75, 1.65, 1.85, 1.78, 1.83, 1.7, 1.93, 
##     1.63, 1.52, 1.75, 1.85, 1.5, 1.73, 1.8, 1.6, 1.75, 1.83, 
##     1.68, 1.73, 1.63, 1.75, 1.78, 1.68, 1.55, 1.8, 1.8, 1.75, 
##     1.57, 1.78, 1.8, 1.78, 1.68, 1.78, 1.52, 1.68, 1.73, 1.8, 
##     1.63, 1.78, 1.78, 1.55, 1.7, 1.78, 1.8, 1.8, 1.75, 1.78, 
##     1.57, 1.57, 1.73, 1.65, 1.7, 1.88, 1.8, 1.7, 1.83, 1.63, 
##     1.75, 1.73, 1.78, 1.63, 1.91, 1.73, 1.93, 1.63, 1.75, 1.6, 
##     1.57, 1.68, 1.63, 1.65, 1.5, 1.75, 1.75, 1.6, 1.83, 1.73, 
##     1.52, 1.7, 1.68, 1.91, 1.88, 1.78, 1.78, 1.8, 1.8, 1.68, 
##     1.73, 1.78, 1.75, 1.65, 1.7, 1.75, 1.83, 1.8, 1.75, 1.6, 
##     1.91, 1.73, 1.68, 1.5, 1.83, 1.55, 1.57, 1.63, 1.57, 1.7, 
##     1.7, 1.65, 1.85, 1.65, 1.83, 1.6, 1.68, 1.83, 1.75, 1.65, 
##     1.78, 1.68, 1.8, 1.75, 1.68, 1.83, 1.57, 1.45, 1.85, 1.65, 
##     1.7, 1.83, 1.57, 1.7, 1.73, 1.7, 1.65, 1.93, 1.75, 1.6, 1.75, 
##     1.5, 1.83, 1.75, 1.8, 1.78, 1.83, 1.65, 1.78, 1.8, 1.78, 
##     1.6, 1.73, 1.55, 1.57, 1.65, 1.68, 1.63, 1.8, 1.7, 1.75, 
##     1.75, 1.93, 1.7, 1.75, 1.83, 1.6, 1.73, 1.65, 1.68, 1.83, 
##     1.45, 1.68, 1.88, 1.6, 1.8, 1.78, 1.63, 1.75, 1.68, 1.57, 
##     1.96, 1.78, 1.52, 1.65, 1.88, 1.73, 1.75, 1.8, 1.75, 1.75, 
##     1.73, 1.65, 1.6, 1.7, 1.52, 1.63, 1.8, 1.57, 1.78, 1.7, 1.65, 
##     1.68, 1.73, 1.8, 1.83, 1.88, 1.75, 1.55, 1.78, 1.91, 1.75, 
##     1.85, 1.68, 1.85, 1.78, 1.65, 1.8, 1.65, 1.7, 1.63, 1.88, 
##     1.63, 1.85, 1.78, 1.6, 1.68, 1.6, 1.85, 1.73, 1.75, 1.68, 
##     1.91, 1.6, 1.63, 1.73, 1.63, 1.7, 1.65, 1.68, 1.8, 1.73, 
##     1.73, 1.73, 1.7, 1.78, 1.63, 1.83, 1.68, 1.75, 1.63, 1.75, 
##     1.93, 1.78, 1.52, 1.83, 1.88, 1.8, 1.57, 1.7, 1.7, 1.7, 1.78, 
##     1.78, 1.6, 1.63, 1.75, 1.7, 1.68, 1.78, 1.78, 1.57, 1.73, 
##     1.65, 1.83, 1.8, 1.65, 1.8, 1.6, 1.75, 1.88, 1.68, 1.83, 
##     1.8, 1.75, 1.83, 1.78, 1.63, 1.55, 1.65, 1.78, 1.55, 1.75, 
##     1.63, 1.68, 1.8, 1.91, 1.7, 1.57, 1.65, 1.65, 1.57, 1.83, 
##     1.65, 1.73, 1.75, 1.78, 1.83, 1.8, 1.73, 1.6, 1.75, 1.52, 
##     1.78, 1.6, 1.63, 1.83, 1.8, 1.63, 1.65, 1.68, 1.8, 1.47, 
##     1.78, 1.68, 1.7, 1.57, 1.73, 1.83, 1.98, 1.83, 1.78, 1.7, 
##     1.75, 1.75, 1.83, 1.78, 1.7, 1.73, 1.55, 1.73, 1.7, 1.78, 
##     1.73, 1.65, 1.78, 1.78, 1.65, 1.8, 1.75, 1.7, 1.63, 1.65, 
##     1.63, 1.68, 1.68, 1.83, 1.5, 1.55, 1.78, 1.7, 1.57, 1.96, 
##     1.83, 1.65, 1.65, 1.6, 1.78, 1.7, 1.73, 1.91, 1.63, 1.6, 
##     1.8, 1.52, 1.68, 1.65, 1.78, 1.6, 1.75, 1.73, 1.63, 1.8, 
##     1.7, 1.65, 1.8, 1.73, 1.83, 1.78, 1.63, 1.68, 1.78, 1.55, 
##     1.78, 1.83, 1.8, 1.78, 1.8, 1.65, 1.83, 1.78, 1.8, 1.6, 1.7, 
##     1.75, 1.75, 1.57, 1.7, 1.75, 1.6, 1.6, 1.57, 1.73, 1.55, 
##     1.55, 1.83, 1.75, 1.83, 1.8, 1.6, 1.78, 1.68, 1.78, 1.88, 
##     1.78, 1.83, 1.55, 1.73, 1.65, 1.57, 1.6, 1.85, 1.78, 1.63, 
##     1.5, 1.65, 1.57, 1.83, 1.78, 1.65, 1.83, 1.75, 1.65, 1.91, 
##     1.57, 1.6, 1.83, 1.8, 1.73, 1.83, 1.98, 1.68, 1.73, 1.78, 
##     1.63, 1.7, 1.91, 1.85, 1.78, 1.85, 1.6, 1.55, 1.6, 1.78, 
##     1.88, 1.78, 1.75, 1.73, 1.55, 1.8, 1.73, 1.63, 1.68, 1.6, 
##     1.65, 1.88, 1.78, 1.7, 1.8, 1.63, 1.75, 1.7, 1.68, 1.75, 
##     1.63, 1.91, 1.75, 1.75, 1.6, 1.73, 1.83, 1.55, 1.63, 1.57, 
##     1.55, 1.8, 1.75, 1.75, 1.73, 1.78, 1.78, 1.52, 1.75, 1.75, 
##     1.65, 1.6, 1.8, 1.68, 1.63, 1.65, 1.7, 1.83, 1.7, 1.73, 1.63, 
##     1.63, 1.78, 1.57, 1.68, 1.37, 1.75, 1.8, 1.85, 1.57, 1.6, 
##     1.75, 1.83, 1.8, 1.85, 1.73, 1.88, 1.57, 1.7, 1.85, 1.68, 
##     1.73, 1.78, 1.78, 1.68, 1.57, 1.68, 1.6, 1.73, 1.57, 1.68, 
##     1.8, 1.88, 1.83, 1.55, 1.65, 1.63, 1.8, 1.73, 1.78, 1.65, 
##     1.7, 1.91, 1.73, 1.57, 1.7, 1.88, 1.7, 1.52, 1.7, 1.63, 1.78, 
##     1.68, 1.83, 1.78, 1.73, 1.78, 1.88, 1.52, 1.78, 1.52, 1.75, 
##     1.68, 1.73, 1.85, 1.65, 1.83, 1.7, 1.83, 1.52, 1.8, 1.8, 
##     1.55, 1.85, 1.47, 1.91, 1.68, 1.52, 1.68, 1.85, 1.6, 1.7, 
##     1.85, 1.7, 1.78, 1.83, 1.57, 1.78, 1.8, 1.6, 1.8, 1.8, 1.7, 
##     1.6, 1.7, 1.65, 1.68, 1.63, 1.8, 1.73, 1.8, 1.65, 1.85, 1.83, 
##     1.68, 1.47, 1.75, 1.83, 1.68, 1.65, 1.47, 1.65, 1.8, 1.75, 
##     1.75, 1.75, 1.8, 1.96, 1.68, 1.78, 1.68, 1.68, 1.78, 1.65, 
##     1.8, 1.73, 1.68, 1.73, 1.63, 1.68, 1.75, 1.52, 1.57, 1.85, 
##     1.68, 1.7, 1.63, 1.68, 1.7, 1.6, 1.63, 1.75, 1.73, 1.85, 
##     1.78, 1.75, 1.68, 1.7, 1.75, 1.88, 1.8, 1.75, 1.63, 1.85, 
##     1.83, 1.52, 1.65, 1.75, 1.8, 1.78, 1.78, 1.73, 1.88, 1.78, 
##     1.7, 1.52, 1.78, 1.73, 1.65, 1.75, 1.8, 1.78, 1.78, 1.83, 
##     1.78, 1.8, 1.8, 1.7, 1.8, 1.83, 1.68, 1.75, 1.73, 1.65, 1.6, 
##     1.7, 1.83, 1.63, 1.75, 1.8, 1.73, 1.63, 1.83, 1.63, 1.63, 
##     1.8, 1.65, 1.63, 1.75, 1.57, 1.75, 1.63, 1.7, 1.78, 1.75, 
##     1.57, 1.8, 1.75, 1.78, 1.68, 1.52, 1.73, 1.93, 1.73, 1.52, 
##     1.8, 1.63, 1.83, 1.78, 1.8, 1.75, 1.63, 1.73, 1.63, 1.57, 
##     1.7, 1.57, 1.68, 1.68, 1.6, 1.73, 1.7, 1.6, 1.85, 1.8, 1.83, 
##     1.55, 1.83, 1.78, 1.6, 1.75, 1.78, 1.63, 1.63, 1.75, 1.6, 
##     1.75, 1.8, 1.75, 1.8, 1.8, 1.65, 1.52, 1.75, 1.8, 1.68, 1.8, 
##     1.78, 1.85, 1.7, 1.65, 1.8, 1.73, 1.83, 1.8, 1.8, 1.65, 1.8, 
##     1.57, 1.85, 1.65, 1.83, 1.7, 1.75, 1.52, 1.42, 1.52, 1.73, 
##     1.7, 1.78, 1.65, 1.68, 1.8, 1.78, 1.78, 1.75, 1.52, 1.6, 
##     1.6, 1.65, 1.6, 1.63, 1.8, 1.88, 1.83, 1.8, 1.7, 1.78, 1.7, 
##     1.57, 1.88, 1.55, 1.68, 1.6, 1.73, 1.73, 1.6, 1.88, 1.78, 
##     1.68, 1.75, 1.7, 1.78, 1.75, 1.68, 1.88, 1.63, 1.75, 1.88, 
##     1.6, 1.78, 1.52, 1.88, 1.8, 1.8, 1.8, 1.8, 1.83, 1.68, 1.78, 
##     1.88, 1.78, 1.8, 1.8, 1.85, 1.6, 1.75, 1.73, 1.8, 1.63, 1.6, 
##     1.83, 1.55, 1.7, 1.83, 1.6, 1.88, 1.47, 1.8, 1.68, 1.68, 
##     1.57, 1.73, 1.7, 1.68, 1.8, 1.75, 1.75, 1.83, 1.83, 1.73, 
##     1.78, 1.35, 1.8, 1.78, 1.75, 1.7, 1.83, 1.7, 1.57, 1.7, 1.6, 
##     1.63, 1.65, 1.78, 1.57, 1.68, 1.93, 1.63, 1.6, 1.75, 1.88, 
##     1.78, 1.8, 1.52, 1.73, 1.78, 1.88, 1.85, 1.52, 1.7, 1.6, 
##     1.5, 1.63, 1.78, 1.57, 1.55, 1.7, 1.83, 1.52, 1.91, 1.7, 
##     1.88, 1.78, 1.83, 1.75, 1.73, 1.78, 1.83, 1.8, 1.7, 1.68, 
##     1.55, 1.6, 1.6, 1.78, 1.57, 1.83, 1.68, 1.68, 1.85, 1.68, 
##     1.6, 1.68, 1.55, 1.68, 1.75, 1.73, 1.8, 1.7, 1.55, 1.52, 
##     1.68, 1.7, 1.65, 1.55, 1.83, 1.7, 1.6, 1.65, 1.55, 1.88, 
##     1.6, 1.63, 1.85, 1.7, 1.57, 1.91, 1.63, 1.78, 1.75, 1.55, 
##     1.83, 1.65, 1.78, 1.8, 1.8, 1.85, 1.5, 1.63, 1.63, 1.57, 
##     1.52, 1.78, 1.8, 1.75, 1.68, 1.78, 1.57, 1.83, 1.73, 1.55, 
##     1.52, 1.7, 1.6, 1.7, 1.85, 1.73, 1.6, 1.78, 1.73, 1.65, 1.63, 
##     1.75, 1.57, 1.7, 1.7, 1.7, 1.78, 1.83, 1.7, 1.45, 1.85, 1.88, 
##     1.65, 1.7, 1.65, 1.6, 1.6, 1.68, 1.63, 1.88, 1.68, 1.73, 
##     1.78, 1.57, 1.83, 1.7, 1.98, 1.68, 1.73, 1.6, 1.8, 1.8, 1.73, 
##     1.88, 1.78, 1.75, 1.8, 1.52, 1.55, 1.88, 1.65, 1.78, 1.68, 
##     1.55, 1.73, 1.68, 1.7, 1.75, 1.83, 1.65, 1.63, 1.85, 1.68, 
##     1.7, 1.83, 1.57, 1.8, 1.5, 1.78, 1.83, 1.68, 1.73, 1.78, 
##     1.7, 1.63, 1.8, 1.68, 1.68, 1.7, 1.57, 1.6, 1.6, 1.8, 1.65, 
##     1.55, 1.52, 1.6, 1.68, 1.75, 1.73, 1.63, 1.57, 1.73, 1.73, 
##     1.73, 1.78, 1.8, 1.68, 1.63, 1.68, 1.78, 1.52, 1.85, 1.75, 
##     1.83, 1.83, 1.83, 1.6, 1.8, 1.75, 1.73, 1.75, 1.68, 1.75, 
##     1.6, 1.78, 1.73, 1.75, 1.88, 1.65, 1.68, 1.65, 1.8, 1.83, 
##     1.52, 1.78, 1.6, 1.73, 1.75, 1.7, 1.85, 1.91, 1.52, 1.75, 
##     1.73, 1.78, 1.68, 1.55, 1.75, 1.85, 1.6, 1.7, 1.78, 1.83, 
##     1.57, 1.83, 1.8, 1.85, 1.63, 1.78, 1.7, 1.93, 1.57, 1.7, 
##     1.73, 1.7, 1.78, 1.78, 1.73, 1.57, 1.75, 1.78, 1.57, 1.93, 
##     1.68, 1.7, 1.75, 1.8, 1.75, 1.78, 1.63, 1.55, 1.73, 1.8, 
##     1.63, 1.68, 1.83, 1.6, 1.85, 1.57, 1.85, 1.83, 1.65, 1.8, 
##     1.55, 1.75, 1.73, 1.68, 1.75, 1.73, 1.68, 1.57, 1.75, 1.85, 
##     1.6, 1.7, 1.83, 1.85, 1.75, 1.55, 1.68, 1.63, 1.83, 1.73, 
##     1.65, 1.78, 1.91, 1.91, 1.8, 1.73, 1.73, 1.75, 1.7, 1.83, 
##     1.78, 1.57, 1.88, 1.88, 1.6, 1.7, 1.7, 1.68, 1.8, 1.73, 1.68, 
##     1.65, 1.78, 1.6, 1.8, 1.52, 1.73, 1.83, 1.75, 1.78, 1.6, 
##     1.73, 1.68, 1.7, 1.78, 1.57, 1.78, 1.7, 1.85, 1.7, 1.8, 1.63, 
##     1.91, 1.75, 1.63, 1.63, 1.7, 1.7, 1.78, 1.57, 1.55, 1.55, 
##     1.75, 1.83, 1.83, 1.85, 1.57, 1.73, 1.83, 1.57, 1.85, 1.8, 
##     1.63, 1.78, 1.78, 1.6, 1.8, 1.73, 1.65, 1.6, 1.83, 1.8, 1.83, 
##     1.55, 1.78, 1.78, 1.65, 1.63, 1.8, 1.8, 1.68, 1.68, 1.6, 
##     1.75, 1.88, 1.68, 1.5, 1.55, 1.83, 1.47, 1.83, 1.73, 1.57, 
##     1.83, 1.83, 1.8, 1.78, 1.85, 1.83, 1.63, 1.85, 1.68, 1.78, 
##     1.88, 1.65, 1.78, 1.52, 1.57, 1.63, 1.55, 1.8, 1.8, 1.65, 
##     1.7, 1.52, 1.6, 1.85, 1.93, 1.68, 1.83, 1.7, 1.63, 1.73, 
##     1.65, 1.85, 1.63, 1.57, 1.8, 1.85, 1.68, 1.78, 1.55, 1.65, 
##     1.78, 1.55, 1.7, 1.73, 1.7, 1.91, 1.85, 1.73, 1.7, 1.5, 1.7, 
##     1.88, 1.78, 1.6, 1.73, 1.7, 1.73, 1.63, 1.78, 1.63, 1.7, 
##     1.88, 1.91, 1.8, 1.52, 1.78, 1.68, 1.78, 1.68, 1.8, 1.68, 
##     1.8, 1.65, 1.7, 1.73, 1.55, 1.55, 1.63, 1.75, 1.7, 1.83, 
##     1.7, 1.78, 1.6, 1.85, 1.78, 1.5, 1.57, 1.65, 1.55, 1.8, 1.83, 
##     1.45, 1.78, 1.75, 1.68, 1.63, 1.63, 1.85, 1.63, 1.83, 1.8, 
##     1.78, 1.75, 1.55, 1.83, 1.55, 1.78, 1.8, 1.88, 1.68, 1.52, 
##     1.85, 1.57, 1.83, 1.73, 1.78, 1.96, 1.78, 1.6, 1.68, 1.63, 
##     1.8, 1.65, 1.65, 1.65, 1.6, 1.63, 1.75, 1.55, 1.7, 1.88, 
##     1.85, 1.52, 1.75, 1.65, 1.63, 1.91, 1.73, 1.68, 1.75, 1.57, 
##     1.85, 1.75, 1.73, 1.88, 1.83, 1.85, 1.63, 1.83, 1.65, 1.65, 
##     1.65, 1.83, 1.8, 1.83, 1.88, 1.7, 1.78, 1.52, 1.52, 1.7, 
##     1.63, 1.78, 1.75, 1.85, 1.57, 1.75, 1.7, 1.85, 1.63, 1.78, 
##     1.65, 1.75, 1.83, 1.7, 1.8, 1.52, 1.83, 1.73, 1.68, 1.57, 
##     1.96, 1.83, 1.7, 1.83, 1.47, 1.73, 1.55, 1.68, 1.65, 1.73, 
##     1.55, 1.6, 1.75, 1.83, 1.83, 1.78, 1.57, 1.63, 1.65, 1.88, 
##     1.88, 1.83, 1.65, 1.7, 1.73, 1.73, 1.85, 1.73, 1.83, 1.73, 
##     1.78, 1.57, 1.63, 1.75, 1.7, 1.8, 1.88, 1.4, 1.8, 1.73, 1.7, 
##     1.73, 1.55, 1.65, 1.8, 1.73, 1.8, 1.8, 1.65, 1.63, 1.57, 
##     1.6, 1.7, 1.57, 1.78, 1.93, 1.7, 1.52, 1.78, 1.88, 1.7, 1.8, 
##     1.83, 1.63, 1.83, 1.83, 1.57, 1.65, 1.8, 1.57, 1.73, 1.78, 
##     1.75, 1.52, 1.75, 1.8, 1.73, 1.68, 1.63, 1.8, 1.7, 1.8, 1.83, 
##     1.6, 1.73, 1.75, 1.68, 1.73, 1.73, 1.8, 1.65, 1.78, 1.7, 
##     1.65, 1.83, 1.7, 1.7, 1.78, 1.73, 1.52, 1.63, 1.6, 1.78, 
##     1.68, 1.65, 1.73, 1.83, 1.68, 1.88, 1.65, 1.75, 1.75, 1.65, 
##     1.78, 1.68, 1.57, 1.52, 1.83, 1.65, 1.65, 1.68, 1.78, 1.88, 
##     1.7, 1.83, 1.75, 1.75, 1.63, 1.73, 1.83, 1.83, 1.68, 1.8, 
##     1.7, 1.6, 1.78, 1.8, 1.65, 1.73, 1.85, 1.88, 1.75, 1.55, 
##     1.57, 1.6, 1.83, 1.55, 1.75, 1.63, 1.63, 1.75, 1.7, 1.8, 
##     1.65, 1.96, 1.73, 1.7, 1.73, 1.68, 1.8, 1.65, 1.55, 1.78, 
##     1.8, 1.68, 1.63, 1.83, 1.75, 1.83, 1.68, 1.78, 1.93, 1.57, 
##     1.68, 1.65, 1.6, 1.78, 1.83, 1.6, 1.65, 1.52, 1.7, 1.63, 
##     1.65, 1.85, 1.8, 1.73, 1.73, 1.7, 1.8, 1.83, 1.78, 1.73, 
##     1.52, 1.8, 1.88, 1.52, 1.78, 1.68, 1.68, 1.63, 1.85, 1.75, 
##     1.6, 1.6, 1.83, 1.85, 1.75, 1.88, 1.78, 1.83, 1.63, 1.75, 
##     1.78, 1.73, 1.65, 1.8, 1.63, 1.85, 1.68, 1.6, 1.78, 1.88, 
##     1.83, 1.68, 1.98, 1.63, 1.93, 1.85, 1.57, 1.63, 1.78, 1.83, 
##     1.7, 1.7, 1.78, 1.6, 1.78, 1.65, 1.78, 1.8, 1.73, 1.57, 1.57, 
##     1.57, 1.75, 1.63, 1.63, 1.75, 1.73, 1.68, 1.75, 1.37, 1.73, 
##     1.68, 1.73, 1.78, 1.6, 1.85, 1.8, 1.52, 1.8, 1.93, 1.68, 
##     1.78, 1.78, 1.55, 1.73, 1.55, 1.75, 1.78, 1.83, 1.75, 1.63, 
##     1.93, 1.73, 1.52, 1.8, 1.83, 1.8, 1.24, 1.78, 1.7, 1.5, 1.8, 
##     1.78, 1.83, 1.73, 1.88, 1.7, 1.75, 1.52, 1.63, 1.6, 1.55, 
##     1.6, 1.75, 1.75, 1.85, 1.68, 1.78, 1.7, 1.83, 1.7, 1.73, 
##     1.85, 1.73, 1.55, 1.78, 1.88, 1.8, 1.7, 1.65, 1.68, 1.88, 
##     1.83, 1.63, 1.8, 1.75, 1.57, 1.52, 1.6, 1.83, 1.68, 1.6, 
##     1.65, 1.7, 1.35, 1.73, 1.75, 1.78, 1.8, 1.05, 1.75, 1.65, 
##     1.83, 1.83, 1.63, 1.5, 1.88, 1.8, 1.85, 1.57, 1.63, 1.7, 
##     1.73, 1.83, 1.85, 1.8, 1.78, 1.65, 1.63, 1.68, 1.73, 1.57, 
##     1.8, 1.7, 1.85, 1.8, 1.73, 1.73, 1.75, 1.52, 1.91, 1.68, 
##     1.83, 1.5, 1.83, 1.7, 1.83, 1.65, 1.88, 1.85, 1.85, 1.75, 
##     1.8, 1.68, 1.75, 1.45, 1.68, 1.52, 1.68, 1.68, 1.57, 1.75, 
##     1.6, 1.88, 1.6, 1.63, 1.57, 1.6, 1.83, 1.88, 1.5, 1.65, 1.83, 
##     1.93, 1.73, 2.03, 1.55, 1.73, 1.65, 1.98, 1.73, 1.75, 1.47, 
##     1.22, 1.8, 1.6, 1.63, 1.88, 1.73, 1.57, 1.83, 1.52, 1.73, 
##     1.8, 1.83, 1.83, 1.83, 1.6, 1.78, 1.73, 1.63, 1.63, 1.75, 
##     1.83, 1.78, 1.68, 1.63, 1.63, 1.75, 1.73, 1.75, 1.78, 1.7, 
##     1.73, 1.73, 1.83, 1.78, 1.65, 1.78, 1.65, 1.85, 1.83, 1.6, 
##     1.93, 1.8, 1.83, 1.8, 1.83, 1.68, 1.8, 1.7, 1.68, 1.68, 1.8, 
##     1.8, 1.75, 1.78, 1.68, 1.75, 1.6, 1.65, 1.85, 1.8, 1.78, 
##     1.73, 1.52, 1.7, 1.78, 1.8, 1.57, 1.7, 1.63, 1.68, 1.57, 
##     1.73, 1.65, 1.83, 1.65, 1.68, 1.73, 1.55, 1.8, 1.83, 1.65, 
##     1.73, 1.57, 1.63, 1.85, 1.65, 1.78, 1.83, 1.85, 1.6, 1.73, 
##     1.57, 1.52, 1.83, 1.83, 1.57, 1.63, 1.6, 1.88, 1.75, 1.55, 
##     1.75, 1.73, 1.88, 1.68, 1.63, 1.83, 1.7, 1.47, 1.52, 1.78, 
##     1.22, 1.88, 1.78, 1.83, 1.73, 1.68, 1.75, 1.75, 1.88, 1.52, 
##     1.73, 1.78, 1.65, 1.83, 1.78, 1.75, 1.75, 1.57, 1.5, 1.8, 
##     1.83, 1.55, 1.83, 1.78, 1.63, 1.75, 1.52, 1.5, 1.6, 1.6, 
##     1.7, 1.52, 1.83, 1.85, 1.83, 1.63, 1.6, 1.78, 1.8, 1.7, 1.55, 
##     1.73, 1.63, 1.75, 1.5, 1.85, 1.7, 1.75, 1.75, 1.83, 1.75, 
##     1.75, 1.83, 1.5, 1.63, 1.45, 1.52, 1.63, 1.83, 1.75, 1.78, 
##     1.78, 1.8, 1.68, 1.75, 1.73, 1.57, 1.73, 1.52, 1.8, 1.73, 
##     1.68, 1.65, 1.73, 1.8, 1.75, 1.65, 1.75, 1.8, 1.78, 1.83, 
##     1.88, 1.57, 1.63, 1.63, 1.75, 1.75, 1.78, 1.68, 1.85, 1.78, 
##     1.85, 1.83, 1.75, 1.5, 1.88, 1.57, 1.65, 1.63, 1.78, 1.73, 
##     1.55, 1.63, 1.73, 1.65, 1.78, 1.73, 1.91, 1.7, 1.5, 1.75, 
##     1.6, 1.75, 1.7, 1.88, 1.83, 1.52, 1.8, 1.75, 1.7, 1.73, 1.6, 
##     1.73, 1.52, 1.6, 1.78, 1.57, 1.55, 1.91, 1.7, 1.98, 1.65, 
##     1.57, 1.65, 1.52, 1.68, 1.75, 1.83, 1.88, 1.73, 1.78, 1.73, 
##     1.88, 1.57, 1.68, 1.65, 1.73, 1.7, 1.75, 1.65, 1.6, 1.83, 
##     1.83, 1.5, 1.73, 1.55, 1.6, 1.63, 1.63, 1.88, 1.68, 1.7, 
##     1.6, 1.85, 1.68, 1.8, 1.6, 1.85, 1.78, 1.65, 1.96, 1.83, 
##     1.88, 1.63, 1.83, 1.7, 1.7, 1.7, 1.68, 1.8, 1.52, 1.78, 1.8, 
##     1.68, 1.85, 1.83, 1.78, 1.6, 1.73, 1.65, 1.68, 1.78, 1.22, 
##     1.7, 1.73, 1.5, 1.8, 1.63, 1.7, 1.75, 1.6, 1.55, 1.75, 1.68, 
##     1.8, 1.7, 1.78, 1.83, 1.75, 1.68, 1.88, 1.68, 1.57, 1.8, 
##     1.68, 1.85, 1.8, 1.73, 1.83, 1.63, 1.73, 1.8, 1.63, 1.8, 
##     1.85, 1.68, 1.63, 1.55, 1.63, 1.7, 1.7, 1.52, 1.68, 1.83, 
##     1.8, 1.83, 1.55, 1.78, 1.73, 1.73, 1.73, 1.7, 1.8, 1.7, 1.78, 
##     1.8, 1.73, 1.63, 1.75, 1.78, 1.83, 1.63, 1.57, 1.63, 1.75, 
##     1.8, 1.83, 1.68, 1.75, 1.47, 1.85, 1.7, 1.8, 1.68, 1.68, 
##     1.65, 1.68, 1.8, 1.7, 1.73, 1.75, 1.47, 1.75, 1.88, 1.65, 
##     1.85, 1.78, 1.63, 1.78, 1.57, 1.75, 1.6, 1.63, 1.5, 1.65, 
##     1.65, 1.68, 1.78, 1.57, 1.63, 1.73, 1.52, 1.83, 1.8, 1.7, 
##     1.88, 1.55, 1.73, 1.75, 1.73, 1.78, 1.73, 1.52, 1.52, 1.83, 
##     1.8, 1.63, 1.88, 1.78, 1.75, 1.78, 1.83, 1.63, 1.68, 1.68, 
##     1.75, 1.83, 1.52, 1.68, 1.85, 1.83, 1.6, 1.7, 1.65, 1.63, 
##     1.5, 1.78, 1.73, 1.83, 1.57, 1.8, 1.83, 1.8, 1.65, 1.73, 
##     1.7, 1.65, 1.8, 1.8, 1.68, 1.75, 1.91, 1.63, 1.55, 1.52, 
##     1.73, 1.83, 1.83, 1.85, 1.68, 1.68, 1.88, 1.78, 1.7, 1.83, 
##     1.7, 1.54, 1.75, 1.7, 1.78, 1.75, 1.7, 1.63, 1.63, 1.7, 1.57, 
##     1.65, 1.65, 1.55, 1.73, 1.7, 1.65, 1.73, 1.73, 1.83, 1.57, 
##     1.78, 1.73, 1.5, 1.57, 1.55, 1.3, 1.75, 1.83, 1.7, 1.75, 
##     1.7, 1.78, 1.73, 1.6, 1.75, 1.68, 1.65, 1.35, 1.8, 1.63, 
##     1.68, 1.85, 1.65, 1.68, 1.68, 1.6, 1.65, 1.65, 1.78, 1.78, 
##     1.68, 1.78, 1.68, 1.57, 1.65, 1.57, 1.78, 1.73, 1.78, 1.42, 
##     1.75, 1.83, 1.55, 1.78, 1.93, 1.8, 1.57, 1.75, 1.83, 1.5, 
##     1.78, 1.8, 1.75, 1.58, 1.55, 1.78, 1.75, 1.78, 1.6, 1.52, 
##     1.73, 1.65, 1.8, 1.75, 1.68, 1.73, 1.83, 1.57, 1.7, 1.83, 
##     1.73, 1.83, 1.6, 1.8, 1.63, 1.83, 1.75, 1.75, 1.7, 1.88, 
##     1.8, 1.75, 1.83, 1.73, 1.68, 1.65, 1.68, 1.83, 1.52, 1.57, 
##     1.75, 1.83, 1.78, 1.88, 1.63, 1.68, 1.63, 1.65, 1.78, 1.78, 
##     1.85, 1.88, 1.85, 1.57, 1.8, 1.6, 1.68, 1.63, 1.85, 1.88, 
##     1.78, 1.57, 1.91, 1.85, 1.91, 1.78, 1.83, 1.63, 1.88, 1.8, 
##     1.78, 1.73, 1.83, 1.52, 1.85, 1.83, 1.52, 1.83, 1.57, 1.75, 
##     1.65, 1.85, 1.55, 1.83, 1.7, 1.96, 1.83, 1.7, 1.7, 1.8, 1.5, 
##     1.83, 1.83, 1.68, 1.7, 1.73, 1.68, 1.75, 1.52, 1.6, 1.73, 
##     1.98, 1.57, 1.8, 1.75, 1.63, 1.83, 1.63, 1.78, 1.68, 1.47, 
##     1.88, 1.57, 1.88, 1.73, 1.52, 1.83, 1.78, 1.75, 1.83, 1.55, 
##     1.73, 1.68, 1.8, 1.83, 1.78, 1.7, 1.83, 1.73, 1.57, 1.68, 
##     1.7, 1.75, 1.57, 1.83, 1.5, 1.78, 1.7, 1.75, 1.7, 1.83, 1.6, 
##     1.57, 1.6, 1.8, 1.63, 1.7, 1.57, 1.57, 1.75, 1.7, 1.83, 1.55, 
##     1.78, 1.55, 1.83, 1.65, 1.65, 1.63, 1.68, 1.83, 1.78, 1.52, 
##     1.63, 1.68, 1.85, 1.78, 1.85, 1.65, 1.78, 1.73, 1.57, 1.63, 
##     1.75, 1.65, 1.7, 1.63, 1.7, 1.73, 1.73, 1.68, 1.91, 1.55, 
##     1.73, 1.68, 1.78, 1.57, 1.65, 1.7, 1.68, 1.75, 1.47, 1.83, 
##     1.65, 1.6, 1.57, 1.88, 1.65, 1.68, 1.52, 1.63, 1.78, 1.65, 
##     1.65, 1.7, 1.7, 1.65, 1.91, 1.73, 1.88, 1.78, 1.78, 1.75, 
##     1.83, 1.63, 1.7, 1.88, 1.7, 1.8, 1.8, 1.63, 1.83, 1.63, 1.75, 
##     1.85, 1.73, 1.6, 1.83, 1.8, 1.91, 1.88, 1.63, 1.65, 1.75, 
##     1.78, 1.7, 1.65, 1.6, 1.68, 1.75, 1.73, 1.7, 1.91, 1.83, 
##     1.78, 1.8, 1.93, 1.55, 1.73, 1.57, 1.8, 1.85, 1.68, 1.78, 
##     1.83, 1.52, 1.75, 1.83, 1.6, 1.63, 1.57, 1.78, 1.78, 1.75, 
##     1.75, 1.65, 1.6, 1.52, 1.6, 1.78, 1.55, 1.63, 1.83, 1.8, 
##     1.7, 1.78, 1.78, 1.78, 1.75, 1.63, 1.57, 1.55, 1.83, 1.75, 
##     1.8, 1.68, 1.63, 1.91, 1.6, 1.78, 1.75, 1.57, 1.93, 1.93, 
##     1.88, 1.6, 1.6, 1.78, 1.73, 1.7, 1.57, 1.83, 1.7, 1.63, 1.88, 
##     1.57, 1.85, 1.63, 1.83, 1.6, 1.55, 1.83, 1.65, 1.83, 1.83, 
##     1.78, 1.8, 1.7, 1.68, 1.5, 1.63, 1.68, 1.85, 1.8, 1.8, 1.63, 
##     1.71, 1.7, 1.57, 1.68, 1.85, 1.7, 1.75, 1.65, 1.65, 1.8, 
##     1.63, 1.78, 1.8, 1.52, 1.8, 1.63, 1.83, 1.6, 1.78, 1.7, 1.73, 
##     1.65, 1.65, 1.73, 1.68, 1.78, 1.73, 1.7, 1.68, 1.85, 1.75, 
##     1.55, 1.68, 1.93, 1.65, 1.6, 1.75, 1.96, 1.83, 1.83, 1.75, 
##     1.78, 1.57, 1.83, 1.75, 1.75, 1.68, 1.7, 1.57, 1.91, 1.88, 
##     1.75, 1.8, 1.78, 1.73, 1.83, 1.75, 1.73, 1.68, 1.7, 1.68, 
##     1.57, 1.83, 1.8, 1.75, 1.6, 1.57, 1.52, 1.7, 1.52, 1.7, 1.7, 
##     1.8, 1.78, 1.78, 1.93, 1.83, 1.78, 1.8, 1.7, 1.65, 1.68, 
##     1.65, 1.55, 1.52, 1.57, 1.73, 1.68, 1.73, 1.52, 1.88, 1.8, 
##     1.78, 1.75, 1.65, 1.83, 1.8, 1.78, 1.63, 1.55, 1.73, 1.73, 
##     1.6, 1.5, 1.75, 1.63, 1.78, 1.63, 1.73, 1.73, 1.7, 1.57, 
##     1.91, 1.78, 1.8, 1.63, 1.6, 1.78, 1.75, 1.6, 1.7, 1.75, 1.35, 
##     1.88, 1.57, 1.73, 1.65, 1.57, 1.7, 1.8, 1.65, 1.7, 1.73, 
##     1.73, 1.73, 1.85, 1.78, 1.75, 1.68, 1.73, 1.7, 1.57, 1.73, 
##     1.8, 1.73, 1.55, 1.7, 1.88, 1.63, 1.85, 1.8, 1.63, 1.52, 
##     1.73, 1.7, 1.6, 1.52, 1.91, 1.68, 1.88, 1.6, 1.63, 1.75, 
##     1.83, 1.6, 1.73, 1.8, 1.88, 1.83, 1.73, 1.78, 1.85, 1.68, 
##     1.6, 1.85, 1.75, 1.68, 1.83, 1.68, 1.52, 1.78, 1.78, 1.78, 
##     1.8, 1.68, 1.73, 1.83, 1.57, 1.85, 1.98, 1.83, 1.75, 1.65, 
##     1.68, 1.63, 1.7, 1.73, 1.73, 2.01, 1.6, 1.6, 1.73, 1.6, 1.7, 
##     1.57, 1.85, 1.68, 1.85, 1.75, 1.7, 1.91, 1.75, 1.63, 1.83, 
##     1.75, 1.85, 1.85, 1.85, 1.68, 1.68, 1.35, 1.52, 1.57, 1.83, 
##     1.6, 1.8, 1.78, 1.85, 1.6, 1.57, 1.63, 1.78, 1.8, 1.57, 1.8, 
##     1.88, 1.73, 1.78, 1.6, 1.57, 1.7, 1.7, 1.83, 1.65, 1.85, 
##     1.78, 1.8, 1.65, 1.75, 1.47, 1.8, 1.68, 1.55, 1.52, 1.55, 
##     1.96, 1.83, 1.52, 1.83, 1.75, 1.75, 1.91, 1.75, 1.83, 1.78, 
##     1.68, 1.57, 1.68, 1.91, 1.8, 1.78, 1.52, 1.63, 1.73, 1.65, 
##     1.83, 1.78, 1.8, 1.68, 1.52, 1.63, 1.8, 1.55, 1.75, 1.83, 
##     1.73, 1.75, 1.55, 1.85, 1.83, 1.57, 1.78, 1.83, 1.57, 1.68, 
##     1.83, 1.7, 1.68, 1.98, 1.75, 1.65, 1.65, 1.88, 1.83, 1.7, 
##     1.65, 1.7, 1.65, 1.68, 1.75, 1.91, 1.8, 1.75, 1.78, 1.57, 
##     1.73, 1.8, 1.63, 1.6, 1.85, 1.75, 1.68, 1.91, 1.8, 1.83, 
##     1.83, 1.68, 1.75, 1.68, 1.47, 1.83, 1.83, 1.75, 1.57, 1.68, 
##     1.75, 1.63, 1.52, 1.93, 1.75, 1.8, 1.8, 1.52, 1.83, 1.65, 
##     1.57, 1.75, 1.68, 1.8, 1.75, 1.88, 1.78, 1.55, 1.78, 1.88, 
##     1.78, 1.85, 1.73, 1.5, 1.57, 1.52, 1.63, 1.8, 1.78, 1.68, 
##     1.75, 1.83, 1.85, 1.57, 1.73, 1.78, 1.47, 1.65, 1.75, 1.85, 
##     1.83, 1.78, 1.68, 1.57, 1.68, 1.75, 1.78, 1.78, 1.85, 1.63, 
##     1.7, 1.7, 1.96, 1.83, 1.68, 1.75, 1.73, 1.78, 1.6, 1.78, 
##     2.01, 1.93, 1.68, 1.8, 1.85, 1.78, 1.73, 1.55, 1.85, 1.78, 
##     1.75, 1.68, 1.73, 1.88, 1.55, 1.65, 1.8, 1.73, 1.57, 1.85, 
##     1.63, 1.78, 1.8, 1.63, 1.83, 1.75, 1.68, 1.78, 1.73, 1.6, 
##     1.7, 1.78, 1.73, 1.7, 1.85, 1.75, 1.75, 1.75, 1.83, 1.83, 
##     1.88, 1.8, 1.91, 1.83, 1.83, 1.57, 1.96, 1.83, 1.73, 1.67, 
##     1.73, 1.68, 1.63, 1.68, 1.85, 1.78, 1.75, 1.88, 1.45, 1.75, 
##     2.03, 1.63, 1.78, 1.73, 1.65, 1.63, 1.68, 1.63, 1.85, 1.52, 
##     1.83, 1.73, 1.73, 1.83, 1.83, 1.73, 1.93, 1.78, 1.83, 1.65, 
##     1.93, 1.78, 1.57, 1.85, 1.88, 1.5, 1.75, 1.68, 1.63, 1.68, 
##     1.83, 1.8, 1.75, 1.6, 1.88, 1.63, 1.78, 1.75, 1.75, 1.68, 
##     1.55, 1.85, 1.78, 1.65, 1.78, 1.73, 1.63, 1.68, 1.65, 1.65, 
##     1.78, 1.73, 1.93, 1.83, 1.75, 1.78, 1.55, 1.68, 1.8, 1.7, 
##     1.68, 1.68, 1.65, 1.8, 1.93, 1.75, 1.65, 1.47, 1.78, 1.57, 
##     1.73, 1.63, 1.8, 1.8, 1.68, 1.68, 1.75, 1.73, 1.78, 1.63, 
##     1.5, 1.78, 1.7, 1.83, 1.93, 1.75, 1.5, 1.6, 1.57, 1.63, 1.63, 
##     1.63, 1.85, 1.83, 1.68, 1.85, 1.73, 1.8, 1.55, 1.75, 1.68, 
##     1.55, 1.73, 1.88, 1.68, 1.6, 1.8, 1.65, 2.01, 1.83, 1.73, 
##     1.6, 1.63, 1.6, 1.75, 1.83, 1.6, 1.7, 1.73, 1.68, 1.57, 1.73, 
##     1.75, 1.65, 1.55, 1.6, 1.78, 1.6, 1.47, 1.65, 1.75, 1.73, 
##     1.7, 1.7, 1.88, 1.83, 1.78, 1.75, 1.68, 1.88, 1.75, 1.75, 
##     1.83, 1.78, 1.78, 1.65, 1.52, 1.88, 1.88, 1.83, 1.83, 1.7, 
##     1.6, 1.85, 1.55, 1.73, 1.85, 1.93, 1.65, 1.73, 1.57, 1.78, 
##     1.83, 1.63, 1.88, 1.75, 1.8, 1.68, 1.65, 1.65, 1.7, 1.85, 
##     1.7, 1.63, 1.68, 1.78, 1.57, 1.83, 1.83, 1.88, 1.78, 1.73, 
##     1.7, 1.8, 1.7, 1.73, 1.7, 1.7, 1.7, 1.65, 1.73, 1.8, 1.75, 
##     1.5, 1.6, 1.8, 1.63, 1.75, 1.65, 1.68, 1.7, 1.78, 1.78, 1.7, 
##     1.78, 1.78, 1.57, 1.55, 1.85, 1.75, 1.78, 1.68, 1.6, 1.52, 
##     2.01, 1.73, 1.91, 1.75, 1.7, 1.68, 1.85, 1.75, 1.83, 1.78, 
##     1.73, 1.78, 1.55, 1.6, 1.65, 1.93, 1.73, 1.63, 1.63, 1.8, 
##     1.52, 1.65, 1.57, 1.78, 1.88, 1.88, 1.57, 1.68, 1.85, 1.75, 
##     1.6, 1.73, 1.73, 1.78, 1.75, 1.57, 1.88, 1.75, 1.73, 1.7, 
##     1.78, 1.83, 1.73, 1.85, 1.57, 1.98, 1.8, 1.75, 1.63, 1.7, 
##     1.68, 1.88, 1.55, 1.83, 1.68, 1.57, 1.8, 1.93, 1.78, 1.83, 
##     1.73, 1.78, 1.7, 1.78, 1.55, 1.85, 1.73, 1.85, 1.8, 1.8, 
##     1.78, 1.68, 1.85, 1.68, 1.65, 1.78, 1.85, 1.8, 1.8, 1.83, 
##     1.73, 1.78, 1.73, 1.63, 1.93, 1.57, 1.8, 1.7, 1.65, 1.85, 
##     1.52, 1.65, 1.78, 1.68, 1.63, 1.47, 1.75, 1.7, 1.75, 1.6, 
##     1.83, 1.65, 1.73, 1.63, 1.68, 1.75, 1.85, 1.83, 1.55, 1.73, 
##     1.78, 1.78, 1.73, 1.78, 1.63, 1.78, 1.57, 1.55, 1.57, 1.65, 
##     1.7, 1.63, 1.6, 1.73, 1.83, 1.93, 1.73, 1.73, 1.68, 1.57, 
##     1.57, 1.78, 1.88, 1.57, 1.85, 1.88, 1.65, 1.8, 1.85, 1.8, 
##     1.68, 1.83, 1.57, 1.85, 1.63, 1.83, 1.8, 1.7, 1.37, 1.55, 
##     1.8, 1.65, 1.68, 1.6, 1.6, 1.65, 1.8, 1.65, 1.98, 1.83, 1.75, 
##     1.42, 1.8, 1.91, 1.73, 1.57, 1.5, 1.7, 1.8, 1.63, 1.78, 1.65, 
##     1.52, 1.8, 1.57, 1.83, 1.65, 1.52, 1.88, 1.6, 1.73, 1.63, 
##     1.8, 1.89, 1.57, 1.52, 1.52, 1.85, 1.73, 1.7, 1.75, 1.6, 
##     1.93, 1.78, 1.7, 1.75, 1.57, 1.57, 1.52, 1.8, 1.75, 1.57, 
##     1.68, 1.52, 1.63, 1.78, 1.73, 1.68, 1.78, 1.73, 1.7, 1.63, 
##     1.78, 1.52, 1.73, 1.75, 1.5, 1.73, 1.68, 1.6, 1.63, 1.8, 
##     1.68, 1.75, 1.8, 1.6, 1.83, 1.57, 1.68, 1.73, 1.68, 1.65, 
##     1.8, 1.68, 1.68, 1.55, 1.55, 1.83, 1.78, 1.6, 1.5, 1.83, 
##     1.78, 1.55, 1.78, 1.73, 1.7, 1.6, 1.93, 1.57, 1.83, 1.65, 
##     1.55, 1.7, 1.63, 1.57, 1.83, 1.8, 1.93, 1.73, 1.75, 1.7, 
##     1.63, 1.75, 1.75, 1.68, 1.65, 1.78, 1.63, 1.83, 1.75, 1.8, 
##     1.83, 1.55, 1.63, 1.7, 1.7, 1.65, 1.88, 1.68, 1.8, 1.75, 
##     1.7, 1.68, 1.73, 1.52, 1.83, 1.68, 1.83, 1.65, 1.96, 1.8, 
##     1.75, 1.7, 1.63, 1.68, 1.55, 1.7, 1.83, 1.78, 1.65, 1.83, 
##     1.68, 1.8, 1.57, 1.6, 1.73, 1.63, 1.8, 1.63, 1.8, 1.78, 1.7, 
##     1.78, 1.68, 1.83, 1.78, 1.75, 1.68, 1.68, 1.63, 1.78, 1.78, 
##     1.93, 1.75, 1.57, 1.8, 1.83, 1.65, 1.52, 1.78, 1.8, 1.73, 
##     1.78, 1.63, 1.6, 1.68, 1.85, 1.91, 1.52, 1.63, 1.75, 1.57, 
##     1.88, 1.8, 1.78, 1.57, 1.65, 1.73, 1.73, 1.8, 1.65, 1.75, 
##     1.7, 1.75, 1.65, 1.57, 1.7, 1.65, 1.83, 1.68, 1.85, 1.88, 
##     1.75, 1.73, 1.96, 1.75, 1.55, 1.7, 1.75, 1.63, 1.8, 1.57, 
##     1.68, 1.75, 1.52, 1.83, 1.63, 1.78, 1.8, 1.75, 1.73, 1.83, 
##     1.75, 1.63, 1.78, 1.68, 1.7, 1.7, 1.55, 1.78, 1.6, 1.8, 1.7, 
##     1.68, 1.75, 1.73, 1.68, 1.45, 1.83, 1.7, 1.85, 1.78, 1.65, 
##     1.8, 1.8, 1.75, 1.91, 1.75, 1.65, 1.63, 1.75, 1.55, 1.75, 
##     1.91, 1.57, 1.73, 1.65, 1.83, 1.91, 1.78, 1.52, 1.63, 1.5, 
##     1.63, 1.85, 1.8, 1.8, 1.78, 1.78, 1.73, 1.78, 1.83, 1.83, 
##     1.7, 1.52, 1.75, 1.7, 1.7, 1.8, 1.83, 1.75, 1.73, 1.88, 1.63, 
##     1.73, 1.55, 1.7, 1.73, 1.68, 1.57, 1.63, 1.75, 1.73, 1.68, 
##     1.73, 1.63, 1.83, 1.75, 1.7, 1.75, 1.83, 1.68, 1.93, 1.83, 
##     1.8, 1.75, 1.73, 1.7, 1.78, 1.68, 1.8, 1.65, 1.68, 1.65, 
##     1.68, 1.85, 1.7, 1.75, 1.6, 1.68, 1.75, 1.8, 1.65, 1.78, 
##     1.73, 1.78, 1.68, 1.7, 1.78, 1.78, 1.65, 1.63, 1.7, 1.83, 
##     1.6, 1.7, 1.88, 1.8, 1.6, 1.63, 1.85, 1.6, 1.75, 1.83, 1.75, 
##     1.68, 1.75, 1.83, 1.63, 1.88, 1.57, 1.8, 1.6, 1.7, 1.68, 
##     1.68, 1.63, 1.78, 1.75, 1.7, 1.7, 1.85, 1.78, 1.78, 1.68, 
##     1.63, 1.65, 1.73, 1.8, 1.57, 1.57, 1.75, 1.7, 1.73, 1.78, 
##     1.75, 1.55, 1.63, 1.7, 1.7, 1.63, 1.8, 1.65, 1.63, 1.52, 
##     1.63, 1.52, 1.73, 1.7, 1.6, 1.78, 1.75, 1.63, 0.91, 1.73, 
##     1.83, 1.8, 1.63, 1.6, 1.75, 1.78, 1.78, 1.78, 1.7, 1.73, 
##     1.7, 1.55, 1.73, 1.88, 1.85, 1.8, 1.6, 1.83, 1.85, 1.68, 
##     1.75, 1.83, 1.78, 1.52, 1.52, 1.63, 1.83, 1.75, 1.88, 1.52, 
##     1.73, 1.78, 1.88, 1.68, 1.68, 1.73, 1.7, 1.63, 1.65, 1.78, 
##     1.91, 1.57, 1.6, 1.65, 1.78, 1.88, 1.85, 1.78, 1.6, 1.8, 
##     1.57, 1.73, 1.75, 1.68, 1.73, 1.6, 1.57, 1.68, 1.68, 1.55, 
##     1.57, 1.8, 1.88, 1.68, 1.78, 1.6, 1.73, 1.7, 1.75, 1.73, 
##     1.93, 1.35, 1.85, 1.75, 1.7, 1.75, 1.85, 1.52, 1.73, 1.65, 
##     1.83, 1.78, 1.6, 1.68, 1.78, 1.93, 1.73, 1.6, 1.93, 1.68, 
##     1.8, 1.78, 1.7, 1.6, 1.78, 1.63, 1.78, 1.83, 1.8, 1.83, 1.93, 
##     1.65, 1.65, 1.75, 1.57, 1.55, 1.83, 1.5, 1.8, 1.63, 1.63, 
##     1.8, 1.78, 1.73, 1.73, 1.73, 1.78, 1.6, 1.52, 1.75, 1.78, 
##     1.57, 1.78, 1.8, 1.65, 1.78, 1.75, 1.83, 1.68, 1.78, 1.73, 
##     1.88, 1.7, 1.7, 1.65, 1.88, 1.8, 1.88, 1.57, 1.63, 1.68, 
##     1.6, 1.63, 1.75, 1.63, 1.75, 1.83, 1.75, 1.6, 1.75, 1.65, 
##     1.78, 1.75, 1.8, 1.7, 1.8, 1.52, 1.75, 1.5, 1.83, 1.88, 1.8, 
##     1.63, 1.83, 1.7, 1.83, 1.73, 1.88, 1.78, 1.8, 1.7, 1.73, 
##     1.83, 1.7, 1.57, 1.63, 1.52, 1.68, 1.6, 1.75, 1.63, 1.7, 
##     1.63, 1.75, 1.57, 1.68, 1.37, 1.83, 1.63, 1.8, 1.85, 1.78, 
##     1.75, 1.73, 1.73, 1.57, 1.65, 1.63, 1.7, 1.88, 1.75, 1.75, 
##     1.7, 1.73, 1.91, 1.8, 1.85, 1.83, 1.73, 1.73, 1.57, 1.68, 
##     1.73, 1.75, 1.5, 1.78, 1.78, 1.88, 1.6, 1.75, 1.75, 1.83, 
##     1.7, 1.75, 1.85, 1.88, 1.75, 1.7, 1.55, 1.57, 1.83, 1.57, 
##     1.57, 1.65, 1.83, 1.68, 1.8, 1.6, 1.85, 1.8, 1.63, 1.73, 
##     1.91, 1.78, 1.6, 1.75, 1.6, 1.57, 1.7, 1.73, 1.55, 1.68, 
##     1.68, 1.75, 1.25, 1.6, 1.7, 1.65, 1.52, 1.57, 1.8, 1.55, 
##     1.8, 1.73, 1.8, 1.78, 1.83, 1.78, 1.7, 1.73, 1.73, 1.68, 
##     1.68, 1.7, 1.88, 1.88, 1.85, 1.83, 1.65, 1.78, 1.73, 1.68, 
##     1.63, 1.78, 1.8, 1.78, 1.78, 1.6, 1.78, 1.85, 1.78, 1.65, 
##     1.75, 1.65, 1.8, 1.8, 1.83, 1.68, 1.78, 1.57, 1.78, 1.73, 
##     1.73, 1.68, 1.57, 1.52, 1.7, 1.73, 1.65, 1.57, 1.7, 1.78, 
##     1.63, 1.55, 1.65, 1.7, 1.7, 1.78, 1.91, 1.63, 1.78, 1.73, 
##     1.57, 1.63, 1.73, 1.68, 1.68, 1.78, 1.57, 1.83, 1.7, 1.75, 
##     1.52, 1.8, 1.73, 1.7, 1.88, 1.73, 1.7, 1.65, 1.7, 1.88, 1.83, 
##     1.65, 1.78, 1.78, 1.85, 1.83, 1.85, 1.78, 1.63, 1.63, 1.65, 
##     1.83, 1.7, 1.55, 1.52, 1.55, 1.52, 1.65, 1.83, 1.7, 1.65, 
##     1.7, 1.7, 1.78, 1.63, 1.78, 1.68, 1.65, 1.52, 1.88, 1.65, 
##     1.6, 1.83, 1.91, 1.65, 1.96, 1.68, 1.6, 1.8, 1.68, 1.6, 1.65, 
##     1.78, 1.8, 1.68, 1.57, 1.78, 1.7, 1.93, 1.8, 1.73, 1.63, 
##     1.73, 1.73, 1.78, 1.68, 1.65, 1.83, 1.63, 1.75, 1.7, 1.78, 
##     1.57, 1.78, 1.63, 1.68, 1.63, 1.57, 1.75, 1.73, 1.52, 1.83, 
##     1.78, 1.63, 1.52, 1.83, 1.68, 1.78, 1.75, 1.68, 1.6, 1.47, 
##     1.73, 1.88, 1.85, 1.65, 1.85, 1.52, 1.98, 1.68, 1.73, 1.65, 
##     1.85, 1.93, 1.73, 1.7, 1.57, 1.8, 1.8, 1.73, 1.68, 1.7, 1.52, 
##     1.57, 1.88, 1.85, 1.63, 1.63, 1.7, 1.83, 1.88, 1.6, 1.78, 
##     1.65, 1.55, 1.83, 1.83, 1.8, 1.73, 1.78, 1.7, 1.52, 1.93, 
##     1.6, 1.52, 1.55, 1.83, 1.73, 1.52, 1.6, 1.57, 1.65, 1.68, 
##     1.73, 1.63, 1.75, 1.55, 1.88, 1.68, 1.63, 1.73, 1.73, 1.78, 
##     1.8, 1.83, 1.93, 1.63, 1.73, 1.55, 1.68, 1.57, 1.75, 1.63, 
##     1.73, 1.73, 1.8, 1.68, 1.65, 1.65, 1.68, 1.65, 1.7, 1.78, 
##     1.7, 1.63, 1.83, 1.7, 1.5, 1.91, 1.68, 1.68, 1.88, 1.68, 
##     1.63, 1.73, 1.52, 1.85, 1.6, 1.75, 1.7, 1.83, 1.73, 1.78, 
##     1.73, 1.73, 1.65, 1.68, 1.73, 1.75, 1.83, 1.6, 1.73, 1.68, 
##     1.78, 1.57, 1.91, 1.8, 1.57, 1.78, 1.88, 1.7, 1.83, 1.68, 
##     1.75, 1.78, 1.8, 1.7, 1.8, 1.78, 1.83, 1.8, 1.78, 1.57, 1.85, 
##     1.78, 1.85, 1.32, 1.78, 1.63, 1.85, 1.83, 1.5, 1.8, 1.7, 
##     1.8, 1.52, 1.68, 1.8, 1.8, 1.68, 1.75, 1.68, 1.83, 1.65, 
##     1.68, 1.68, 1.6, 1.63, 1.57, 1.83, 1.57, 1.73, 1.75, 1.6, 
##     1.65, 1.8, 1.63, 1.6, 1.65, 1.85, 1.83, 1.65, 1.75, 1.65, 
##     1.78, 1.65, 1.6, 1.83, 1.73, 1.65, 1.8, 1.75, 1.75, 1.7, 
##     1.83, 1.68, 1.6, 1.63, 1.68, 1.75, 1.75, 1.85, 1.75, 1.68, 
##     1.68, 1.7, 1.63, 1.73, 1.68, 1.78, 1.83, 1.68, 1.91, 1.7, 
##     1.8, 1.7, 1.73, 1.75, 1.68, 1.68, 1.6, 1.57, 1.65, 1.55, 
##     1.6, 1.52, 1.63, 1.55, 1.8, 1.68, 1.78, 1.65, 1.78, 1.78, 
##     1.75, 1.73, 1.7, 1.78, 1.73, 1.65, 1.7, 1.52, 1.78, 1.57, 
##     1.83, 1.78, 1.83, 1.75, 1.75, 1.75, 1.7, 1.63, 1.83, 1.8, 
##     1.8, 1.78, 1.63, 1.65, 1.68, 1.7, 1.8, 1.83, 1.8, 1.78, 2.01, 
##     1.88, 1.7, 1.83, 1.65, 1.57, 1.5, 1.63, 1.68, 1.65, 1.73, 
##     1.75, 1.78, 1.52, 1.73, 1.78, 1.85, 1.7, 1.63, 1.63, 1.8, 
##     1.5, 1.73, 1.68, 1.63, 1.68, 1.52, 1.57, 1.55, 1.83, 1.45, 
##     1.8, 1.8, 1.7, 1.88, 1.55, 1.57, 1.78, 1.75, 1.78, 1.73, 
##     1.85, 1.75, 1.65, 1.83, 1.73, 1.91, 1.73, 1.91, 1.63, 1.55, 
##     1.68, 1.55, 1.73, 1.78, 1.5, 1.73, 1.7, 1.68, 1.8, 1.91, 
##     1.73, 1.75, 1.52, 1.88, 1.7, 1.88, 1.8, 1.63, 1.73, 1.8, 
##     1.83, 1.57, 1.83, 1.73, 1.91, 1.57, 1.7, 1.52, 1.73, 1.5, 
##     1.75, 1.68, 1.78, 1.65, 1.65, 1.5, 1.65, 1.6, 1.73, 1.75, 
##     1.63, 1.75, 1.75, 1.88, 1.57, 1.83, 1.78, 1.83, 1.68, 1.65, 
##     1.75, 1.57, 1.78, 1.78, 1.78, 1.57, 1.75, 1.88, 1.47, 1.78, 
##     1.52, 1.75, 1.75, 1.83, 1.75, 1.83, 1.52, 1.78, 1.52, 1.8, 
##     1.88, 1.83, 1.83, 1.85, 1.7, 1.68, 1.65, 1.65, 1.73, 1.57, 
##     1.83, 1.65, 1.57, 1.78, 1.73, 1.63, 1.63, 1.88, 1.75, 1.47, 
##     1.75, 1.8, 1.57, 1.78, 1.73, 1.8, 1.85, 1.83, 1.83, 1.75, 
##     1.73, 1.8, 1.85, 1.65, 1.6, 1.83, 1.68, 1.83, 1.85, 1.8, 
##     1.65, 1.68, 1.6, 1.88, 1.75, 1.78, 1.68, 1.75, 1.68, 1.68, 
##     1.57, 1.83, 1.65, 1.73, 1.57, 1.68, 1.65, 1.7, 1.73, 1.8, 
##     1.78, 1.52, 1.78, 1.83, 1.55, 1.63, 1.83, 1.75, 1.6, 1.8, 
##     1.65, 1.55, 1.83, 1.78, 1.75, 1.83, 1.78, 1.75, 1.7, 1.55, 
##     1.78, 1.68, 1.75, 1.5, 1.73, 1.75, 1.78, 1.68, 1.7, 1.8, 
##     1.63, 1.57, 1.88, 1.7, 1.57, 1.78, 1.7, 1.57, 1.85, 1.73, 
##     1.57, 1.57, 1.73, 1.85, 1.5, 1.91, 1.65, 1.52, 1.65, 1.57, 
##     1.75, 1.73, 1.63, 1.52, 1.65, 1.63, 1.65, 1.88, 1.78, 1.6, 
##     1.83, 1.57, 1.8, 1.78, 1.32, 1.78, 1.78, 1.83, 1.57, 1.65, 
##     1.63, 1.73, 1.52, 1.75, 1.65, 1.73, 1.93, 1.68, 1.83, 1.85, 
##     1.7, 1.78, 1.5, 1.91, 1.75, 1.65, 1.83, 1.7, 1.73, 1.8, 1.75, 
##     1.78, 1.52, 1.6, 1.57, 1.57, 1.68, 1.63, 1.63, 1.6, 1.7, 
##     1.57, 1.75, 1.7, 1.75, 1.8, 1.6, 1.75, 1.85, 1.68, 1.65, 
##     1.68, 1.63, 1.52, 1.8, 1.65, 1.5, 1.8, 1.75, 1.68, 1.68, 
##     1.85, 1.65, 1.75, 1.78, 1.8, 1.68, 1.78, 1.65, 1.65, 1.75, 
##     1.7, 1.78, 1.8, 1.75, 1.91, 1.68, 1.63, 1.8, 1.55, 1.57, 
##     1.65, 1.68, 1.78, 1.78, 1.73, 1.63, 1.75, 1.78, 1.8, 1.78, 
##     1.7, 1.65, 1.7, 1.8, 1.7, 1.83, 1.57, 1.57, 1.83, 1.83, 1.6, 
##     1.6, 1.6, 1.52, 1.65, 1.8, 1.52, 1.78, 1.73, 1.6, 1.78, 1.83, 
##     1.7, 1.73, 1.6, 1.93, 1.8, 1.68, 1.57, 1.68, 1.5, 1.57, 1.68, 
##     1.7, 1.7, 1.63, 1.57, 1.5, 1.65, 1.5, 1.63, 1.73, 1.96, 1.75, 
##     1.68, 1.78, 1.88, 1.68, 1.91, 1.85, 1.7, 1.65, 1.63, 1.63, 
##     1.55, 1.7, 1.8, 1.98, 1.8, 1.63, 1.73, 1.68, 1.65, 1.6, 1.78, 
##     1.65, 1.75, 1.78, 1.91, 1.65, 1.6, 1.85, 1.93, 1.68, 1.8, 
##     1.6, 1.5, 1.75, 1.8, 1.8, 1.88, 1.75, 1.65, 1.75, 1.75, 1.7, 
##     1.75, 1.68, 1.73, 1.78, 1.45, 1.7, 1.83, 1.63, 1.73, 1.83, 
##     1.83, 1.7, 1.47, 1.6, 1.7, 1.8, 1.75, 1.5, 1.68, 1.6, 1.85, 
##     1.88, 1.73, 1.57, 1.85, 1.68, 1.8, 1.8, 1.7, 1.85, 1.8, 1.68, 
##     1.83, 1.75, 1.52, 1.65, 1.55, 1.83, 1.88, 1.65, 1.68, 1.65, 
##     1.7, 1.57, 1.7, 1.7, 1.83, 1.55, 1.75, 1.63, 1.8, 1.52, 1.8, 
##     1.68, 1.83, 1.63, 1.7, 1.6, 1.6, 1.83, 1.75, 1.78, 1.88, 
##     1.6, 1.5, 1.47, 1.88, 1.6, 1.65, 1.8, 1.6, 1.75, 1.83, 1.83, 
##     1.73, 1.73, 1.8, 1.7, 1.6, 1.78, 1.78, 1.73, 1.73, 1.78, 
##     1.78, 1.63, 1.7, 1.6, 1.63, 1.73, 1.91, 1.88, 1.8, 1.6, 1.78, 
##     1.75, 1.78, 1.8, 1.57, 1.63, 1.75, 1.68, 1.47, 1.68, 1.52, 
##     1.57, 1.8, 1.88, 1.57, 1.65, 1.78, 1.75, 1.73, 1.88, 1.7, 
##     1.63, 1.57, 1.73, 1.6, 1.7, 1.57, 1.8, 1.7, 1.83, 1.68, 1.57, 
##     1.78, 1.6, 1.63, 1.78, 1.68, 1.65, 1.75, 1.83, 1.73, 1.7, 
##     1.73, 1.78, 1.73, 1.63, 1.78, 1.6, 1.57, 1.63, 1.85, 1.65, 
##     1.75, 1.91, 1.75, 1.83, 1.73, 1.83, 1.7, 1.8, 1.55, 1.8, 
##     1.7, 1.63, 1.6, 1.73, 1.52, 1.75, 1.73, 1.73, 1.63, 1.63, 
##     1.8, 1.55, 1.93, 1.5, 1.6, 1.7, 1.85, 1.68, 1.78, 1.8, 1.63, 
##     1.78, 1.75, 1.75, 1.68, 1.6, 1.7, 1.68, 1.63, 1.6, 1.85, 
##     1.91, 1.78, 1.63, 1.88, 1.91, 1.75, 1.8, 1.73, 1.6, 1.7, 
##     1.73, 1.75, 1.73, 1.8, 1.8, 1.7, 1.63, 1.83, 1.8, 1.83, 1.57, 
##     1.83, 1.6, 1.8, 1.55, 1.65, 1.65, 1.57, 1.7, 1.75, 1.8, 1.7, 
##     1.8, 1.78, 1.68, 1.63, 1.6, 1.6, 1.57, 1.73, 1.8, 1.83, 1.55, 
##     1.75, 1.52, 1.78, 1.78, 1.83, 1.8, 1.63, 1.68, 1.57, 1.75, 
##     1.83, 1.7, 1.65, 1.73, 1.78, 1.83, 1.91, 1.88, 1.57, 1.8, 
##     1.68, 1.68, 1.8, 1.73, 1.73, 1.75, 1.75, 1.6, 1.83, 1.52, 
##     1.63, 1.52, 1.65, 1.73, 1.73, 1.7, 1.68, 1.63, 1.83, 1.83, 
##     1.75, 1.52, 1.93, 1.8, 1.63, 1.8, 1.6, 1.6, 1.73, 1.88, 1.65, 
##     1.65, 1.52, 1.73, 1.75, 1.83, 1.68, 1.6, 1.52, 1.7, 1.78, 
##     1.7, 1.6, 1.68, 1.52, 1.7, 1.78, 1.6, 1.63, 1.7, 1.78, 1.6, 
##     1.85, 1.6, 1.78, 1.68, 1.73, 1.68, 1.91, 1.52, 1.5, 1.73, 
##     1.85, 1.83, 1.8, 1.8, 1.63, 1.7, 1.55, 1.65, 1.78, 1.6, 1.57, 
##     1.65, 1.75, 1.65, 1.68, 1.73, 1.78, 1.6, 1.52, 1.8, 1.8, 
##     1.78, 1.65, 1.65, 1.57, 1.78, 1.75, 1.75, 1.6, 1.52, 1.7, 
##     1.75, 1.68, 1.6, 1.88, 1.65, 1.7, 1.65, 1.52, 1.85, 1.68, 
##     1.7, 1.8, 1.63, 1.78, 1.52, 1.78, 1.63, 1.57, 2.03, 1.7, 
##     1.73, 1.52, 1.7, 1.75, 1.73, 1.93, 1.7, 1.57, 1.63, 1.63, 
##     1.55, 1.57, 1.57, 1.75, 1.7, 1.75, 1.78, 1.7, 1.75, 1.63, 
##     1.83, 1.55, 1.55, 1.75, 1.75, 1.73, 1.8, 1.8, 1.68, 1.63, 
##     1.73, 1.93, 1.83, 1.75, 1.75, 1.73, 1.65, 1.75, 1.83, 1.83, 
##     1.52, 1.63, 1.68, 1.8, 1.78, 1.7, 1.83, 1.73, 1.83, 1.6, 
##     1.57, 1.73, 1.5, 1.93, 1.68, 1.78, 1.85, 1.78, 1.68, 1.7, 
##     1.83, 1.63, 1.65, 1.7, 1.88, 1.7, 1.7, 1.65, 1.78, 1.57, 
##     1.6, 1.93, 1.63, 1.75, 1.55, 1.75, 1.73, 1.6, 1.88, 1.6, 
##     1.68, 1.68, 1.68, 1.85, 1.8, 1.7, 1.47, 1.6, 1.63, 1.68, 
##     1.55, 1.52, 1.78, 1.7, 1.68, 1.78, 1.7, 1.65, 1.78, 1.85, 
##     1.88, 1.47, 1.63, 1.85, 1.7, 1.85, 1.91, 1.65, 1.7, 1.8, 
##     1.73, 1.68, 1.78, 1.73, 1.83, 1.78, 1.7, 1.55, 1.8, 1.68, 
##     1.65, 1.75, 1.68, 1.68, 1.55, 1.7, 1.68, 1.8, 1.68, 1.68, 
##     1.78, 1.68, 1.52, 1.68, 1.88, 1.7, 1.63, 1.55, 1.7, 1.75, 
##     1.93, 1.65, 1.78, 1.73, 1.8, 1.7, 1.75, 1.57, 1.8, 1.7, 1.73, 
##     1.57, 1.68, 1.83, 1.78, 1.98, 1.6, 1.47, 1.7, 1.52, 1.75, 
##     1.93, 1.7, 1.8, 1.88, 1.7, 1.75, 1.85, 1.55, 1.73, 1.75, 
##     1.75, 1.8, 1.8, 1.7, 1.83, 1.6, 1.68, 1.78, 1.63, 1.75, 1.91, 
##     1.68, 1.78, 1.68, 1.52, 1.68, 1.63, 1.63, 1.47, 1.7, 1.85, 
##     1.78, 1.45, 1.73, 1.78, 1.57, 1.6, 1.73, 1.57, 1.71, 1.7, 
##     1.6, 1.55, 1.6, 1.73, 1.83, 1.75, 1.63, 1.65, 1.6, 1.68, 
##     1.78, 1.73, 1.57, 1.91, 1.73, 1.91, 1.83, 1.63, 1.83, 1.78, 
##     1.47, 1.57, 1.78, 1.73, 1.75, 1.7, 1.5, 1.65, 1.65, 1.83, 
##     1.73, 1.8, 1.7, 1.78, 1.73, 1.88, 1.7, 1.6, 1.65, 1.83, 1.83, 
##     1.63, 1.63, 1.85, 1.75, 1.7, 1.73, 1.57, 1.75, 1.78, 1.65, 
##     1.68, 1.83, 1.75, 1.85, 1.73, 1.75, 1.98, 1.83, 1.8, 1.75, 
##     1.7, 1.7, 1.63, 1.7, 1.88, 1.98, 1.6, 1.91, 1.78, 1.52, 1.65, 
##     1.83, 1.83, 1.68, 1.52, 1.8, 1.78, 1.7, 1.73, 1.91, 1.57, 
##     1.6, 1.73, 1.57, 1.6, 1.57, 1.83, 1.8, 1.85, 1.78, 1.7, 1.52, 
##     1.6, 1.88, 1.68, 1.63, 1.6, 1.55, 1.85, 1.73, 1.8, 1.73, 
##     1.7, 1.78, 1.78, 1.83, 1.57, 1.73, 1.75, 1.7, 1.8, 1.83, 
##     1.8, 1.83, 1.78, 1.68, 1.7, 1.7, 1.78, 1.8, 1.91, 1.8, 1.68, 
##     1.57, 1.78, 1.68, 1.73, 1.73, 1.68, 1.57, 1.6, 1.88, 1.63, 
##     1.47, 1.68, 1.75, 1.63, 1.73, 1.68, 1.7, 1.68, 1.65, 1.6, 
##     1.7, 1.83, 1.78, 1.63, 1.8, 1.65, 1.68, 1.93, 1.52, 1.78, 
##     1.83, 1.5, 1.8, 1.75, 1.83, 1.47, 1.85, 1.75, 1.55, 1.8, 
##     1.52, 1.6, 1.68, 1.65, 1.6, 1.55, 1.55, 1.73, 1.7), c(68.04, 
##     68.04, 86.18, 108.86, 73.48, 68.04, 77.11, 70.31, 129.27, 
##     70.31, 99.79, 108.86, 43.09, 136.98, 54.43, 90.72, 90.72, 
##     129.27, 63.5, 117.93, 68.04, 74.84, 66.68, 117.03, 88.45, 
##     95.25, 140.61, 81.65, 107.05, 86.18, 80.29, 63.5, 76.66, 
##     56.7, 104.33, 99.79, 88.45, 113.4, 95.25, 81.65, 90.72, 95.25, 
##     56.7, 68.04, 99.79, 61.23, 79.38, 73.48, 72.57, 68.04, 44, 
##     50.8, 81.65, 90.72, 54.43, 106.59, 77.11, 72.57, 74.84, 102.06, 
##     108.86, 99.79, 68.04, 92.99, 92.99, 73.48, 52.16, 61.23, 
##     86.18, 62.14, 104.33, 83.91, 56.7, 99.79, 63.5, 68.04, 83.91, 
##     59.42, 99.79, 63.5, 90.72, 79.38, 86.18, 96.62, 83.46, 79.38, 
##     72.57, 90.72, 106.59, 90.72, 102.06, 96.62, 104.33, 95.25, 
##     81.65, 83.91, 81.65, 117.93, 65.77, 63.5, 90.26, 141.07, 
##     61.23, 81.65, 117.93, 97.07, 122.47, 70.31, 63.5, 68.04, 
##     97.52, 99.79, 72.57, 122.47, 79.38, 86.64, 129.27, 69.4, 
##     79.38, 65.77, 115.67, 102.06, 72.57, 75.75, 72.57, 136.08, 
##     77.11, 58.97, 54.43, 77.11, 65.77, 75.3, 97.52, 67.13, 59.42, 
##     84.82, 74.84, 70.31, 77.11, 72.12, 99.79, 90.72, 122.47, 
##     98.43, 111.13, 77.11, 54.43, 141.07, 90.72, 83.46, 46.27, 
##     97.52, 90.72, 90.72, 54.43, 74.84, 91.63, 72.57, 56.7, 61.69, 
##     69.4, 58.97, 77.11, 97.52, 104.33, 99.79, 81.65, 117.03, 
##     87.09, 98.88, 113.4, 103.42, 158.76, 96.16, 71.67, 74.84, 
##     86.18, 99.79, 122.47, 65.77, 99.34, 66.22, 86.18, 102.51, 
##     93.89, 77.11, 54.43, 65.77, 88.45, 59.87, 58.97, 117.93, 
##     63.5, 56.7, 99.79, 86.18, 74.84, 105.69, 74.84, 95.25, 79.38, 
##     63.5, 95.25, 115.67, 86.18, 102.06, 77.11, 74.84, 56.7, 79.38, 
##     86.18, 53.52, 80.74, 97.07, 126.1, 90.72, 88.45, 74.84, 54.43, 
##     54.43, 68.04, 81.65, 65.77, 113.4, 79.38, 106.59, 56.7, 74.84, 
##     108.86, 63.5, 88.45, 68.04, 90.72, 93.89, 99.79, 113.4, 68.04, 
##     88, 108.86, 58.97, 90.72, 68.04, 111.13, 61.23, 87.54, 87.09, 
##     74.84, 53.07, 108.86, 90.72, 56.7, 54.43, 108.86, 83.01, 
##     65.77, 83.91, 65.77, 86.18, 81.65, 127.01, 78.02, 71.67, 
##     113.4, 79.83, 91.63, 95.25, 68.04, 90.72, 72.57, 74.84, 83.91, 
##     63.5, 84.37, 62.6, 65.77, 96.16, 104.33, 124.74, 147.42, 
##     61.69, 95.25, 79.38, 68.04, 80.74, 77.11, 99.79, 102.06, 
##     99.79, 63.5, 104.33, 80.74, 68.04, 67.13, 80.74, 127.01, 
##     77.11, 68.04, 99.79, 77.11, 55.34, 72.57, 83.01, 93.89, 117.93, 
##     85.73, 78.93, 65.77, 104.33, 63.5, 70.31, 79.38, 44.45, 63.5, 
##     113.4, 63.5, 136.08, 45.36, 48.99, 72.57, 63.5, 99.79, 81.65, 
##     71.67, 97.52, 58.97, 106.59, 138.35, 49.9, 70.31, 102.06, 
##     90.72, 90.72, 102.06, 70.31, 86.18, 145.15, 74.84, 88.45, 
##     86.18, 81.65, 75.75, 127.01, 65.77, 60.78, 122.47, 72.57, 
##     72.57, 112.94, 67.13, 77.11, 72.57, 79.38, 68.04, 90.72, 
##     77.11, 55.79, 72.57, 81.65, 88.45, 56.7, 95.25, 81.65, 92.99, 
##     113.4, 88.45, 95.25, 86.18, 81.65, 81.65, 75.75, 71.67, 68.49, 
##     58.97, 117.93, 79.38, 70.31, 88, 81.65, 72.57, 104.33, 95.25, 
##     56.7, 129.27, 95.25, 90.72, 136.98, 127.01, 69.85, 108.86, 
##     92.99, 111.13, 72.12, 76.2, 68.04, 74.84, 74.84, 95.25, 90.72, 
##     99.79, 68.04, 65.77, 86.18, 99.79, 52.16, 92.53, 68.04, 52.16, 
##     54.43, 83.91, 74.84, 86.18, 86.18, 122.47, 97.52, 58.97, 
##     72.57, 67.13, 91.17, 120.2, 68.04, 56.7, 67, 68.04, 117.93, 
##     63.5, 82.1, 58.97, 129.27, 89.81, 49.9, 63.5, 95.25, 108.86, 
##     75.75, 84.37, 72.57, 100.7, 73.48, 90.72, 88.45, 88.9, 104.33, 
##     65.77, 92.53, 68.04, 88.45, 65.77, 86.18, 72.57, 90.72, 62.6, 
##     73.48, 65.77, 72.57, 72.57, 127.01, 147.42, 108.86, 63.5, 
##     74.84, 127.01, 72.57, 56.7, 63.5, 87.54, 59.87, 108.86, 102.06, 
##     48.08, 58.51, 99.79, 56.7, 86.18, 65.77, 68.04, 131.54, 97.07, 
##     92.99, 108.86, 72.57, 103.87, 68.04, 104.33, 80.74, 58.97, 
##     98.43, 62.14, 45.36, 81.65, 90.72, 99.79, 97.52, 65.77, 72.57, 
##     68.04, 83.91, 113.4, 52.16, 117.93, 79.38, 97.52, 93.89, 
##     57.15, 58.97, 99.79, 65.77, 79.38, 90.72, 81.65, 81.65, 104.33, 
##     100.24, 83.91, 92.99, 53.52, 58.06, 69.85, 61.69, 95.25, 
##     95.25, 70.31, 64.86, 77.11, 90.72, 106.14, 77.11, 79.38, 
##     104.33, 65.77, 53.52, 76.66, 81.65, 86.18, 54.43, 81.65, 
##     65.77, 120.2, 63.5, 124.74, 58.97, 68.04, 79.38, 77.11, 68.04, 
##     71.21, 72, 73.94, 58.97, 90.72, 58.97, 70.31, 74.84, 67.13, 
##     99.79, 78.93, 77.11, 98.88, 65.77, 120.66, 61.23, 81.65, 
##     107.95, 90.72, 80.29, 74.84, 129.27, 78.47, 83.91, 52.16, 
##     54.43, 92.99, 91.63, 69.85, 74.39, 58.97, 104.33, 104.33, 
##     72.57, 131.54, 45.81, 77.11, 81.65, 77.11, 70.31, 61.23, 
##     69.85, 108.86, 74.84, 86.18, 99.79, 106.14, 99.79, 53.98, 
##     77.56, 124.74, 72.57, 86.18, 117.03, 79.38, 79.38, 99.79, 
##     79.38, 81.65, 70.31, 94.8, 68.49, 83.91, 86.18, 115.21, 68.04, 
##     83.91, 81.65, 58.97, 68.04, 99.79, 86.18, 59.87, 86.18, 63.5, 
##     90.72, 104.33, 99.79, 90.72, 95.25, 83.91, 89.36, 52.62, 
##     77.11, 81.65, 85.73, 105.23, 79.38, 108.86, 86.18, 88.45, 
##     71.21, 62.14, 83.91, 188.24, 72.57, 64.41, 81.65, 67.13, 
##     81.65, 108.86, 83.91, 81.65, 86.18, 74.84, 145.15, 104.33, 
##     74.84, 77.11, 74.84, 73.94, 68.95, 70.31, 139.25, 79.38, 
##     79.38, 145.15, 102.06, 74.84, 68.04, 86.18, 48.99, 65.77, 
##     76.2, 90.72, 58.97, 79.38, 90.72, 120.2, 72.57, 90.72, 95.25, 
##     117.93, 105.23, 62.14, 83.91, 74.84, 81.65, 70.76, 129.27, 
##     94.8, 122.47, 68.04, 65.32, 92.99, 81.65, 99.79, 99.79, 99.79, 
##     58.97, 63.5, 92.99, 58.97, 65.32, 86.18, 79.38, 65.77, 99.79, 
##     54.43, 58.97, 92.99, 104.33, 69.85, 88.45, 76.2, 68.04, 77.11, 
##     83.91, 63.5, 89.81, 56.7, 64.86, 72.57, 52.16, 109.77, 82.1, 
##     99.79, 58.97, 68.04, 84.37, 95.25, 90.72, 67.13, 68.04, 73.94, 
##     81.65, 64.86, 77.11, 129.27, 83.01, 85.73, 77.11, 94.8, 88.45, 
##     85.73, 99.79, 87.09, 122.47, 75.75, 74.84, 68.04, 127.01, 
##     83.91, 94.35, 131.54, 61.23, 89.36, 61.23, 58.06, 74.84, 
##     113.4, 72.57, 76.2, 73.48, 90.72, 49.9, 68.04, 68.04, 79.38, 
##     117.93, 65.77, 68.04, 68.04, 113.4, 81.65, 78.02, 64.86, 
##     99.79, 48.08, 86.18, 60.33, 68.04, 70.31, 83.91, 99.79, 57, 
##     67.59, 95.25, 83.91, 79.38, 111.13, 88.45, 100.24, 120.2, 
##     86.18, 68.49, 127.01, 81.65, 92.99, 127.01, 70.31, 63.5, 
##     79.38, 124.74, 64.86, 49.9, 104.33, 83.91, 58.97, 115.67, 
##     81.65, 62.14, 72.57, 61.23, 99.79, 90.72, 83.91, 74.39, 86.18, 
##     113.4, 102.06, 68.04, 115.67, 61.23, 53, 122.47, 95.25, 66.68, 
##     92.99, 82.1, 70.31, 104.33, 89.36, 88, 96.16, 99.79, 92.99, 
##     92.99, 117.93, 77.11, 86.18, 83.91, 55.79, 86.18, 68.04, 
##     92.53, 57.15, 104.33, 89.36, 58.97, 74.84, 63.5, 102.97, 
##     88.45, 111.13, 59.87, 88.45, 74.84, 73.94, 65.77, 65.77, 
##     117.93, 68.95, 103.42, 88.45, 68.04, 56.7, 88.45, 68.04, 
##     104.33, 76.2, 102.06, 99.79, 117.93, 68.04, 62.6, 45.36, 
##     110.68, 117.93, 56.7, 68.04, 68.04, 79.83, 127.01, 47.63, 
##     58.97, 123.83, 58.97, 83.01, 77.11, 56.7, 63.5, 99.79, 63.5, 
##     75.75, 106.59, 97.52, 79.38, 86.18, 68.04, 136.08, 56.7, 
##     68.04, 63.5, 88.45, 79.38, 70.31, 86.18, 45.36, 104.33, 76.2, 
##     72.57, 74.84, 74.84, 75.75, 97.52, 68.04, 124.74, 83.46, 
##     58.97, 117.03, 81.65, 56.7, 92.99, 63.5, 83.91, 72.57, 83.91, 
##     154.22, 78.02, 103.42, 58.97, 64.41, 83.91, 125.65, 79.38, 
##     74.84, 86.18, 72.57, 81.65, 67.13, 122.47, 113.4, 73.48, 
##     69.85, 61.23, 90.72, 91.17, 90.72, 81.65, 63.5, 73.03, 74.84, 
##     134.72, 90.72, 80.74, 61.23, 103.42, 88.45, 45.36, 97.98, 
##     81.65, 79.38, 68.04, 88, 84.82, 102.06, 95.25, 56.7, 78.47, 
##     72.57, 70.31, 54.43, 80.29, 98.43, 72.57, 54.43, 115.67, 
##     86.18, 62.14, 99.79, 113.4, 68.04, 113.4, 104.33, 195.04, 
##     95.25, 102.06, 99.79, 57.15, 97.52, 68.04, 82.55, 95.25, 
##     90.72, 77.11, 70.31, 68.04, 65.77, 68.04, 63.5, 83.91, 81.65, 
##     136.08, 53.52, 92.53, 79.38, 79, 78, 81.65, 70.31, 56.25, 
##     88.45, 67.59, 68.04, 84.37, 71.67, 63.5, 104.33, 122.47, 
##     68.04, 58.51, 92.99, 90.72, 122.47, 76.66, 68.04, 89.81, 
##     64.41, 88.45, 65.77, 79.38, 62.6, 63.96, 63.5, 124.74, 72.57, 
##     83.91, 74.84, 101.6, 83.01, 58.97, 61.23, 72.57, 79.38, 104.33, 
##     129.27, 58.06, 79.38, 97.98, 43.09, 59.87, 83.91, 97.52, 
##     100.7, 67.59, 62.14, 81.65, 95.25, 72.57, 90.72, 72.57, 99.79, 
##     90.72, 68.04, 82.55, 113.85, 56.7, 58.97, 72.57, 90.72, 52.16, 
##     47.63, 55.79, 95.25, 80.74, 110.22, 86.18, 90.72, 110.22, 
##     79.83, 117.93, 74.84, 76.66, 83.91, 80.29, 122.47, 81.65, 
##     84.37, 90.72, 90.72, 81.65, 68.04, 150.59, 77.11, 79.38, 
##     63.5, 104.33, 70.31, 68.04, 131.54, 74.84, 85.73, 77.11, 
##     63.5, 113.4, 72.12, 63.5, 108.86, 86.18, 90.72, 104.33, 98.43, 
##     90.72, 90.72, 66.68, 43.09, 74.84, 88, 88.45, 97.52, 128.82, 
##     113.85, 49.9, 63.5, 81.65, 34.47, 95.25, 81.65, 90.72, 99.79, 
##     79.38, 86.18, 82.55, 68.04, 86.18, 90.72, 92.53, 90.72, 74.84, 
##     54.43, 113.4, 119.75, 69.85, 99.34, 73.94, 77.11, 108.86, 
##     124.74, 90.72, 71.21, 90.72, 113.4, 83.91, 63.5, 70.31, 83.91, 
##     43.09, 97.52, 95.25, 97.52, 83.91, 113.4, 71.21, 63.5, 114.76, 
##     136.08, 63.5, 79.38, 95.25, 54.43, 86.18, 72.57, 89.36, 82.1, 
##     129.27, 86.18, 73.48, 73.48, 79.38, 58.97, 60.78, 136.08, 
##     63.5, 56.7, 86.18, 70.31, 108.86, 81.65, 62.14, 113.85, 68.04, 
##     72.57, 90.72, 102.06, 86.18, 65.77, 74.84, 54.43, 80.74, 
##     72.57, 83.91, 104.33, 58.06, 86.18, 65.77, 86.18, 55.79, 
##     83.46, 65.77, 113.4, 72.57, 70.76, 76.2, 81.65, 86.18, 65.77, 
##     90.72, 68.95, 73.94, 64.41, 94.35, 106.59, 50.35, 79.38, 
##     124.28, 95.25, 90.72, 90.72, 122.47, 66.22, 56.7, 99.79, 
##     77.11, 83.91, 90.72, 79.38, 113.4, 95.25, 65.77, 61.23, 51.71, 
##     68.04, 68.04, 97.52, 79.38, 90.72, 90.72, 60.33, 65.32, 115.67, 
##     71.21, 49.9, 92.99, 88.9, 96.16, 56.25, 64.86, 58.97, 74.84, 
##     88.45, 65.77, 76.2, 47.17, 68.04, 49.9, 72.57, 111.13, 70.31, 
##     63.5, 81.65, 79.38, 81.65, 68.04, 81.65, 79.38, 58.97, 61.23, 
##     54.43, 113.4, 102.06, 72.57, 56.7, 80.29, 90.72, 55.34, 68.04, 
##     113.4, 66.22, 83.46, 54.43, 74.84, 60.33, 117.93, 76.2, 77.11, 
##     56.7, 81.65, 131.54, 99.79, 81.65, 91.63, 52.16, 95.25, 54.43, 
##     95.25, 75.75, 77.11, 86.18, 70.31, 108.86, 86.18, 66.68, 
##     70.31, 77.11, 72.57, 85.73, 54.43, 106.59, 63.5, 74.84, 92.99, 
##     79.38, 74.84, 129.27, 79.38, 83.91, 95.25, 113.4, 90.72, 
##     81.65, 79.38, 95.25, 100.7, 81.65, 79.83, 81.65, 86.18, 77.11, 
##     104.33, 54.43, 93.89, 99.79, 61.23, 83.91, 83.91, 81.65, 
##     95.25, 99.79, 90.72, 83.91, 104.33, 81.65, 70.31, 89.36, 
##     74.84, 70.31, 81.65, 89.36, 86.18, 90.72, 65.77, 92.99, 47.63, 
##     77.11, 99.79, 149.69, 90.72, 115.21, 58.97, 69.85, 81.65, 
##     92.08, 72.57, 99.79, 74.39, 82.55, 86.18, 90.72, 52.16, 79.38, 
##     113.4, 54.43, 108.86, 93.44, 145.15, 81.65, 79.38, 88.45, 
##     89.81, 104.33, 88.45, 72.57, 108.86, 84.37, 61.23, 90.72, 
##     81.65, 72.57, 97.52, 52.16, 90.72, 68.95, 76.2, 90.72, 61.23, 
##     77.11, 90.72, 97.52, 68.04, 61.23, 68.04, 136.08, 74.84, 
##     58.06, 124.74, 90.72, 90.72, 58.97, 81.65, 72.57, 79.38, 
##     127.01, 86.18, 104.33, 99.79, 72.57, 57.61, 56.7, 72.57, 
##     97.52, 70.76, 113.4, 68.04, 49.9, 90.72, 81.65, 63.5, 72.12, 
##     124.74, 87.54, 81.19, 81.65, 72.57, 97.07, 117.93, 95.25, 
##     68.04, 77.11, 61.23, 102.97, 82.55, 124.74, 68.49, 113.4, 
##     145.15, 80.74, 74.84, 99.79, 79.38, 132.9, 81.65, 72.57, 
##     92.53, 82.55, 56.7, 129.27, 63.96, 79.38, 50.35, 83.46, 88.45, 
##     63.05, 141.52, 77.11, 65.32, 113.4, 65.77, 55.79, 92.53, 
##     102.06, 108.86, 88.9, 58.97, 92.99, 65.77, 83.01, 84.82, 
##     92.53, 62.6, 72.57, 46.27, 58.97, 95.25, 74.84, 84.82, 68.04, 
##     131.54, 90.72, 87.09, 99.79, 92.99, 99.79, 88.45, 58.97, 
##     77.11, 64.86, 90.72, 77.11, 83.91, 81.65, 108.86, 102.06, 
##     74.84, 99.79, 94.35, 81.65, 81.65, 68.04, 89.81, 108.86, 
##     77.11, 79.38, 100.7, 136.08, 86.18, 59.87, 64.86, 68.04, 
##     111.13, 70.31, 90.72, 66.68, 90.72, 113.4, 81.65, 68.04, 
##     58.97, 112.04, 77.11, 65.77, 95.25, 97.52, 72.57, 66.22, 
##     104.33, 75, 90.72, 124.74, 63.5, 61.23, 57.15, 47.63, 74.84, 
##     95.25, 84.37, 108.86, 90.72, 122.47, 64.41, 100.7, 106.59, 
##     85.73, 158.76, 44.45, 81.65, 95.25, 96.16, 81.65, 88.9, 90.72, 
##     55.34, 79.38, 81.65, 74.84, 97.07, 67.13, 74.84, 124.74, 
##     81.65, 79.38, 66.68, 102.06, 61.23, 64.41, 133.81, 104.33, 
##     104.33, 63.5, 74.84, 87.54, 97.52, 99.79, 68.95, 113.4, 94.35, 
##     61.69, 122.47, 113.4, 81.65, 52.16, 83.91, 92.08, 68.04, 
##     72.57, 58.06, 90.72, 69.4, 68.04, 92.99, 96.16, 70.31, 99.79, 
##     81.65, 99.79, 77.11, 61.23, 77.11, 100.24, 86.18, 92.99, 
##     90.72, 80.74, 59.87, 52.16, 54.43, 86.18, 108.86, 58.51, 
##     122.47, 89.81, 115.67, 85.28, 81.65, 79.38, 90.72, 83.91, 
##     76.2, 56.7, 78.02, 52.16, 49.9, 99.79, 74.84, 56.7, 91.63, 
##     90.72, 104.33, 70.31, 116.12, 113.4, 107.95, 63.5, 68.04, 
##     102.06, 72.57, 106.59, 77.11, 81.65, 136.08, 90.72, 70.31, 
##     72.57, 49.9, 80.74, 93.44, 88.45, 86.18, 127.01, 79.38, 59.87, 
##     88.45, 45.36, 108.86, 68.04, 106.14, 62.14, 90.26, 67.59, 
##     86.18, 77.11, 69.85, 88, 79.38, 113.4, 90.72, 165.11, 54.43, 
##     97.98, 117.93, 68.04, 58.97, 103.42, 86.18, 83.01, 61.23, 
##     102.06, 90.72, 99.79, 80.74, 83.91, 99.79, 109.77, 61.23, 
##     90.72, 106.59, 77.11, 81.65, 79.38, 63.5, 151.95, 54.43, 
##     104.33, 54.43, 54.43, 88.45, 54.43, 81.65, 86.18, 61.23, 
##     85.73, 79.38, 58.97, 61.23, 90.72, 84.82, 108.86, 69.4, 107.95, 
##     111.13, 79.38, 77.11, 99.79, 61.23, 90.72, 113.4, 83.91, 
##     83.91, 90.72, 54.43, 131.54, 86.18, 106.59, 63.5, 68.49, 
##     58.51, 70, 113.4, 113.4, 86.18, 81.65, 69.4, 117.93, 88.45, 
##     66.68, 59.87, 113.4, 85.73, 52.16, 81.65, 88.45, 102.06, 
##     86.18, 90.26, 90.72, 90.72, 55.34, 92.99, 95.25, 61.23, 87.09, 
##     85.73, 140.61, 83.91, 81.65, 62.6, 77.11, 61.23, 99.79, 83.01, 
##     77.56, 81.19, 97.52, 127.01, 114.31, 113.4, 75.3, 65.77, 
##     72.57, 97.52, 60.78, 102.51, 48.53, 57.61, 62.6, 78.02, 54.43, 
##     88.45, 54.43, 81.65, 54.43, 104.33, 68.95, 65.77, 59.87, 
##     77.11, 90.72, 96.16, 47.63, 65.77, 70.31, 83.91, 88.45, 68.04, 
##     57.15, 74.84, 63.5, 102.06, 61.23, 84.37, 58.97, 71.21, 81.65, 
##     68.04, 127.01, 90.72, 104.33, 127.01, 52.16, 70.31, 74.84, 
##     56.7, 79.83, 107.5, 70.31, 83.91, 57.15, 61.23, 58.06, 103.87, 
##     117.93, 90.72, 85.73, 73.48, 59.87, 108.86, 86.18, 77.56, 
##     70.31, 76.2, 68.49, 78.93, 60.33, 95.25, 104.33, 78.47, 76.2, 
##     74.84, 61.23, 74.84, 89.81, 90.72, 69.4, 88.45, 90.72, 99.79, 
##     90.72, 68.49, 90.72, 68.04, 65.77, 81.65, 113.85, 68.04, 
##     65.77, 98.88, 65.77, 75.75, 77.11, 67.13, 58.97, 65.77, 64.41, 
##     84.82, 77.11, 105.23, 88.45, 92.99, 99.79, 71.67, 115.67, 
##     104.33, 68.04, 76.66, 68.04, 90.26, 99.79, 117.93, 68.95, 
##     68.04, 99.79, 86.18, 108.86, 99.79, 83.91, 92.99, 77.11, 
##     72.57, 72.57, 83.91, 47.63, 111.13, 57.61, 80.74, 63.5, 90.72, 
##     95.25, 83.91, 58.06, 95.25, 72.57, 60.78, 65.77, 127.01, 
##     81.65, 117.93, 103.42, 63.5, 69.4, 99.79, 73.94, 49.9, 60.33, 
##     68.04, 113.4, 65.77, 102.06, 54.43, 45.36, 100.7, 79.38, 
##     90.72, 97.52, 77.11, 90.72, 117.93, 107.95, 86.18, 58.97, 
##     72.57, 77.11, 74.84, 81.65, 70.31, 54.43, 82.55, 72.57, 68.04, 
##     63.5, 65.77, 72.57, 81.65, 65.77, 60.78, 63.5, 95.25, 90.72, 
##     58.97, 113.4, 77.11, 88.45, 108.86, 99.79, 102.06, 96.62, 
##     83.91, 61.23, 81.65, 70.31, 106.59, 99.79, 83.91, 109.77, 
##     58.06, 106.59, 61.23, 58.06, 102.06, 119.75, 90.72, 76.2, 
##     95.25, 61.23, 68.04, 72.57, 81.65, 81.65, 79.38, 101.6, 55.79, 
##     53.98, 127.01, 71.67, 73.94, 90.72, 65.77, 79.38, 81.65, 
##     108.86, 61.23, 81.65, 86.18, 86.18, 70.31, 58.06, 104.33, 
##     77.11, 122.47, 117.93, 47.63, 89.36, 77.11, 85.73, 86.18, 
##     61.23, 99.79, 103.87, 90.72, 61.23, 77.56, 79.38, 81.65, 
##     108.86, 117.93, 70.31, 80.74, 72.57, 61.23, 77.11, 78.02, 
##     58.97, 79.38, 89.81, 65.77, 88.45, 65.77, 53.52, 120.66, 
##     68.04, 79.38, 61.69, 86.18, 70.31, 85.73, 117.93, 67.13, 
##     97.52, 81.65, 108.86, 97.98, 88.45, 73.03, 90.72, 77.11, 
##     65.77, 95.25, 77.11, 79.38, 62.14, 64.86, 87.54, 104.33, 
##     52.16, 90.72, 117.03, 61.23, 88.45, 65.77, 86.18, 99.79, 
##     82.1, 93.44, 90.72, 72.57, 70.76, 65.77, 83.91, 90.72, 86.18, 
##     68.04, 72.57, 56.7, 70.76, 97.52, 56.25, 71.67, 71.21, 108.86, 
##     104.33, 77.11, 74.84, 113.4, 73.94, 86.18, 68.04, 65.32, 
##     64.41, 81.19, 88.45, 56.7, 79.38, 95.25, 104.33, 68.95, 90.72, 
##     88.9, 79.38, 82.55, 72.57, 90.72, 104.33, 113.4, 58.06, 72.57, 
##     69.85, 97.52, 74.84, 72.57, 62.6, 88.45, 104.33, 74.84, 52.16, 
##     57.61, 90.72, 86.18, 99.79, 47.63, 72.57, 68.95, 66.68, 86.18, 
##     102.06, 70.31, 72.57, 52.62, 92.99, 70.31, 81.65, 58.06, 
##     70.31, 99.34, 77.11, 77.11, 83.91, 68.04, 67.13, 54.88, 81.65, 
##     76.66, 103.42, 70.76, 88.45, 72.57, 106.59, 90.72, 81.65, 
##     68.04, 68.04, 63.5, 56.7, 81.65, 77.11, 63.5, 68.95, 51.71, 
##     63.5, 122.47, 99.79, 117.93, 70.31, 99.79, 83.91, 77.11, 
##     94.8, 104.33, 90.72, 63.5, 68.04, 86.18, 74.84, 74.84, 90.72, 
##     88, 58.97, 113.4, 58.97, 64.41, 97.98, 105.69, 58.97, 77.11, 
##     63.5, 58.97, 81.65, 88.45, 88.45, 77.11, 92.99, 131.54, 64.86, 
##     61.23, 65.77, 63.5, 59.87, 81.65, 93.44, 81.65, 99.79, 95.25, 
##     120.2, 72.57, 95.25, 98.88, 124.74, 74.84, 77.11, 86.18, 
##     125.19, 71.21, 122.47, 99.34, 77.11, 104.33, 77.11, 104.33, 
##     102.06, 86.18, 64.41, 83.91, 65.77, 83.91, 88.45, 124.74, 
##     65.77, 64.41, 99.79, 61.23, 97.52, 58.97, 104.33, 98.43, 
##     97.52, 90.72, 68.04, 68.95, 85.73, 111.13, 71.67, 104.33, 
##     113.4, 63.5, 109.77, 102.06, 49.9, 74.84, 55.79, 55.34, 81.65, 
##     77.11, 83.46, 63.5, 106.59, 92.99, 145.15, 68.04, 72.57, 
##     77.11, 77.11, 104.33, 77.11, 63.5, 68.04, 97.52, 97.52, 77.11, 
##     113.4, 86.18, 95.71, 90.72, 97.52, 74.84, 97.52, 83.91, 117.93, 
##     61.23, 68.04, 111.13, 95.25, 113.4, 136.08, 72.57, 61.23, 
##     90.72, 57.61, 86.18, 80.74, 95.25, 96.16, 74.84, 77.11, 99.79, 
##     90.72, 67.13, 90.72, 106.59, 74.84, 74.84, 63.5, 96.62, 52.16, 
##     59.87, 72.57, 104.33, 75.3, 68.04, 58.97, 99.79, 77.11, 74.84, 
##     74.39, 86.18, 70.31, 68.04, 79.38, 77.11, 99.79, 117.93, 
##     90.72, 61.23, 93.44, 77.11, 95.25, 94.35, 81.65, 68.04, 77.11, 
##     102.06, 64.86, 92.99, 49.9, 77.11, 86.18, 131.09, 58.97, 
##     65.77, 58.97, 80.29, 102.06, 90.72, 74.84, 90.72, 79.38, 
##     88.45, 77.11, 97.52, 79.38, 104.33, 72.57, 58.97, 77.11, 
##     62.6, 86.18, 68.04, 127.01, 63.5, 113.4, 127.01, 74.84, 54.43, 
##     90.72, 77.11, 113.4, 81.65, 58.97, 77.11, 68.04, 74.84, 113.4, 
##     108.86, 81.65, 63.5, 90.72, 108.86, 127.01, 72.12, 68.04, 
##     103.87, 136.08, 99.79, 68.95, 99.79, 127.01, 54.43, 77.11, 
##     54.43, 68.49, 74.84, 72.57, 117.93, 91.63, 61.23, 61.23, 
##     74.84, 72.12, 70.31, 113.4, 81.65, 72, 77.11, 72.57, 74.84, 
##     127.01, 73.03, 90.72, 86.18, 77.11, 95.25, 83.91, 90.72, 
##     70.31, 65.77, 113.4, 90.72, 74.84, 72.57, 85.73, 113.4, 76.2, 
##     83.91, 64.86, 86.18, 78.02, 61.23, 66.22, 72.57, 117.93, 
##     54.43, 97.52, 92.99, 68.04, 74.84, 49.9, 80.29, 68.04, 58.97, 
##     71.21, 77.11, 90.72, 64.41, 136.08, 108.86, 68.04, 57.61, 
##     104.33, 77.11, 77.11, 131.54, 83.91, 95.25, 54.43, 71.67, 
##     102.06, 63.5, 47.63, 68.04, 102.06, 92.99, 127.01, 57.61, 
##     81.65, 127.01, 99.79, 53.07, 71.67, 104.33, 77.56, 72.57, 
##     53.52, 68.04, 108.86, 74.84, 90.72, 102.06, 113.4, 99.34, 
##     74.84, 60.33, 83.91, 65.77, 57.15, 158.76, 99.79, 76.2, 83.91, 
##     70.31, 72.57, 71.21, 68.04, 86.18, 113.4, 81.65, 61.23, 59.87, 
##     108.86, 68.04, 58.97, 79.38, 117.93, 54.43, 57.15, 90.72, 
##     73.94, 81.65, 76.2, 54.43, 99.79, 54.43, 75.3, 70.31, 87.54, 
##     79.38, 77.11, 94.35, 72.57, 90.72, 77.11, 127.01, 71.67, 
##     70.31, 92.08, 95.25, 56.7, 74.84, 61.23, 192.78, 77.11, 108.86, 
##     74.84, 81.65, 58.51, 79.38, 62.14, 95.25, 65.77, 90.72, 68.04, 
##     72.57, 138.8, 122.47, 83.91, 81.65, 79.38, 72.57, 77.11, 
##     90.72, 72.57, 50, 99.79, 68.04, 104.33, 72.57, 92.08, 87.54, 
##     113.4, 53.07, 76.2, 68.04, 63.5, 97.52, 48.53, 90.72, 65.77, 
##     76.66, 94.35, 79.38, 68.04, 59.87, 90.72, 113.4, 73.03, 69.85, 
##     48.99, 83.91, 68.04, 74.84, 52.16, 121.11, 97.52, 92.99, 
##     63.5, 70.31, 95.25, 65.77, 86.18, 77.11, 78.02, 83.91, 56.7, 
##     56.25, 134.26, 124.74, 156.49, 61.23, 102.06, 99.79, 123.83, 
##     104.33, 58.97, 72.57, 90.72, 133.81, 86.18, 111.13, 158.76, 
##     90.72, 74.84, 72.57, 77.56, 68.04, 113.4, 58.06, 61.23, 79.38, 
##     77.11, 92.99, 113.4, 62.14, 95.25, 58.06, 77.11, 86.18, 74.84, 
##     65.32, 63.5, 68.04, 90.72, 61.23, 74.84, 79.38, 80.74, 58.97, 
##     83.91, 58.97, 77.11, 112.49, 81.65, 133.81, 72.57, 117.93, 
##     74.84, 91.63, 72.57, 73.48, 97.98, 99.79, 68.95, 123.38, 
##     113.4, 73.94, 61.23, 83.91, 72.57, 50.35, 117.93, 68.04, 
##     87.09, 92.99, 113.4, 86.18, 97.98, 81.65, 78.93, 61.23, 74.84, 
##     72.57, 79.38, 113.4, 74.84, 104.33, 65.77, 108.86, 131.54, 
##     81.65, 117.93, 97.52, 63.5, 86.18, 68.04, 65.77, 74.84, 77.11, 
##     77.11, 61.23, 135.62, 92.99, 58.06, 81.65, 72.57, 77.11, 
##     148.32, 102.06, 122.47, 55.34, 83.91, 74.84, 86.18, 89.81, 
##     74.84, 129.27, 72.12, 83.91, 54.43, 117.93, 85.28, 70.31, 
##     45.36, 63.5, 99.79, 58.97, 92.99, 83.01, 77.11, 76.2, 90.72, 
##     79.38, 99.79, 63.5, 48.53, 127.01, 94.8, 70.31, 65.77, 117.93, 
##     120.2, 69.4, 83.91, 54.43, 86.18, 92.99, 74.84, 88.45, 106.59, 
##     68.04, 72.57, 112.49, 116.57, 86.18, 63.5, 78.93, 77.11, 
##     54.43, 95.25, 70.31, 54.43, 65.77, 90.72, 90.72, 99.79, 59.87, 
##     65.77, 59.42, 113.4, 68.04, 88.45, 63.5, 72.57, 68.04, 113.4, 
##     127.01, 95.25, 60.33, 72.57, 90.72, 68.04, 80.74, 108.86, 
##     72.57, 55.34, 74.84, 126.1, 83.91, 108.86, 63.5, 79.38, 74, 
##     140.61, 100.7, 77.11, 102.06, 54.43, 81.65, 83.91, 90.72, 
##     63.5, 60.33, 60.78, 70.31, 115.21, 90.72, 75.75, 54.43, 59.42, 
##     92.53, 56.7, 88.45, 117.93, 90.72, 68.04, 104.33, 70.31, 
##     58.97, 96.16, 56.7, 74.84, 106.59, 81.65, 63.5, 99.79, 134.72, 
##     104.33, 151.95, 117.93, 99.34, 86.18, 71.67, 107.95, 105.23, 
##     54.43, 93.89, 72.57, 93.44, 81.65, 82.1, 174.63, 92.99, 79.38, 
##     74.84, 68.04, 108.86, 72.57, 70.31, 102.06, 56.7, 103.42, 
##     99.79, 78.02, 106.59, 71.67, 83.91, 90.72, 97.52, 54.43, 
##     83.91, 117.93, 55.79, 79.38, 81.65, 99.79, 74.84, 108.86, 
##     77.11, 92.99, 43.54, 81.65, 67.13, 88.45, 124.74, 90.72, 
##     108.86, 79.38, 107.5, 90.72, 68.95, 68.04, 97.52, 54.43, 
##     64.41, 98.88, 136.08, 88.45, 84.37, 67.59, 69.85, 70.31, 
##     84.82, 83.91, 88.9, 62.14, 50.35, 54.43, 86.18, 68.95, 63.5, 
##     70.31, 79.38, 74.84, 117.93, 81.65, 90.72, 136.08, 72.57, 
##     56.7, 98.88, 72.57, 96.16, 106.59, 63.5, 79.38, 95.25, 52.16, 
##     90.72, 52.16, 68.04, 83.91, 103.87, 56.7, 87.54, 92.53, 81.65, 
##     68.04, 68.04, 52.16, 81.65, 86.18, 131.54, 77.11, 95.25, 
##     117.93, 104.78, 50.8, 72.57, 68.04, 58.97, 69.85, 58.97, 
##     70.31, 83.91, 93.89, 65.77, 70.31, 58.97, 52.16, 99.79, 90.72, 
##     91.63, 42.64, 72.57, 86.18, 92.08, 83.91, 95.25, 81.65, 77.11, 
##     87.09, 61.69, 44.45, 64.41, 58.97, 90.72, 95.25, 120.2, 81.65, 
##     99.79, 76.66, 79.38, 72.57, 131.54, 90.72, 123.38, 62.14, 
##     53.52, 97.52, 86.18, 84.82, 52.16, 70.31, 52.16, 86.18, 145.15, 
##     77.11, 72.57, 95.71, 63.5, 104.33, 104.33, 76.2, 77.11, 50.8, 
##     88.45, 90.72, 81.65, 68.04, 78.47, 74.39, 54.43, 72.12, 73.03, 
##     65.77, 78.93, 83.91, 99.79, 95.25, 90.72, 95.25, 87.54, 61.23, 
##     117.93, 104.33, 49.9, 79.38, 63.5, 90.72, 90.72, 81.65, 106.59, 
##     98.88, 77.11, 79.38, 63.5, 136.08, 72.57, 81.65, 81.65, 86.18, 
##     74.84, 61.23, 57.15, 65.77, 94.35, 76.66, 154.22, 89.81, 
##     62.14, 77.11, 90.72, 62.6, 122.47, 65.77, 79.38, 76.66, 101.15, 
##     113.4, 81.65, 62.14, 102.06, 68.04, 77.11, 70.31, 94.35, 
##     74.84, 132.45, 86.18, 78.02, 154.22, 87, 106.59, 104.33, 
##     78.93, 95.25, 72.57, 61.23, 106.59, 90.72, 104.33, 52.62, 
##     124.74, 49.9, 58.06, 81.65, 72.57, 87.54, 92.99, 79.38, 95.25, 
##     104.33, 79.38, 104.33, 122.47, 72.57, 92.99, 91.63, 94.8, 
##     85.28, 61.23, 68.04, 65.77, 127.01, 139.71, 131.54, 99.79, 
##     54.43, 77.11, 99.79, 63.5, 83.46, 95.25, 48.99, 61.69, 68.04, 
##     79.38, 47.17, 86.18, 90.72, 68.95, 74.39, 74.84, 68.04, 57.15, 
##     72.57, 66.22, 106.59, 81.65, 95.25, 51.26, 99.79, 61.23, 
##     54.43, 80.74, 63.96, 83.91, 60.78, 100.7, 93.89, 47.63, 106.59, 
##     86.18, 88.45, 90.72, 90.72, 99.79, 72.57, 51.26, 68.04, 75.75, 
##     83.91, 83.91, 75.75, 90.72, 58.97, 113.4, 86.18, 76.2, 50.8, 
##     60.78, 95.25, 89.81, 45.36, 117.93, 99.79, 96.62, 79.38, 
##     74.84, 108.86, 74.84, 86.64, 113.4, 70.31, 67.59, 170.1, 
##     83.46, 101.15, 68.04, 90.72, 120.2, 136.08, 80.74, 68.04, 
##     88.45, 79.38, 74.84, 72.57, 92.99, 81.65, 72.57, 99.79, 72.57, 
##     86.18, 82.1, 79.83, 111.13, 99.79, 54.43, 71.21, 68.04, 68.04, 
##     68.04, 81.19, 81.65, 81.65, 88.45, 104.33, 90.72, 71.21, 
##     86.18, 77.11, 113.4, 108.86, 99.79, 122.47, 70.31, 76.66, 
##     117.93, 68.04, 52.16, 74.84, 72.57, 45.36, 90.72, 68.04, 
##     79.38, 70.31, 77.56, 74.84, 115.67, 61.23, 80.29, 60.78, 
##     94.35, 90.72, 72.57, 61.69, 83.91, 80.74, 122.47, 108.86, 
##     83.91, 83.46, 72.57, 89.81, 68.04, 61.23, 61.23, 58.97, 71.67, 
##     95.25, 158.76, 68.04, 47.17, 95.25, 86.18, 90.72, 65.77, 
##     76.2, 90.72, 63.5, 48.99, 72.57, 61.23, 83.91, 68.04, 88.45, 
##     113.4, 58.06, 86.18, 86.18, 68.04, 71.21, 81.65, 63.5, 172.37, 
##     117.93, 111.13, 90.72, 55.79, 74.84, 90.72, 72.57, 127.01, 
##     88.45, 91.17, 71.21, 72.57, 71.67, 80.74, 56.7, 90.72, 58.97, 
##     44.45, 77.11, 91.63, 58.97, 65.77, 58.97, 90.72, 122.47, 
##     63.5, 61.69, 48.99, 68.95, 70.31, 58.97, 99.79, 128.82, 62.6, 
##     127.01, 117.93, 70.31, 79.38, 74.84, 88, 80.74, 79.38, 68.04, 
##     61.23, 61.23, 131.54, 54.43, 102.06, 68.04, 122.02, 99.79, 
##     58.51, 108.86, 115.67, 96.62, 114.31, 104.33, 163.29, 81.65, 
##     110, 83.91, 81.65, 99.79, 81.65, 72.57, 156.49, 100.7, 57.61, 
##     61.23, 71.21, 95.25, 49.9, 127.01, 95.25, 68.04, 65.77, 81.19, 
##     92.53, 77.11, 78.93, 88, 80.29, 99.79, 102.06, 72.57, 77.11, 
##     71.67, 68.04, 86.18, 142.88, 61.69, 86.18, 72.57, 63.5, 65.77, 
##     86.18, 126.1, 82.55, 115.67, 49.9, 88.45, 86.18, 72.57, 69.4, 
##     70.31, 88.45, 104.33, 65.77, 68.04, 111.13, 72.57, 79.38, 
##     61.23, 115.21, 58.97, 65.77, 68.04, 82.55, 81.65, 81.65, 
##     97.52, 77.11, 45.36, 113.4, 63.5, 61.23, 90.72, 95.25, 57.15, 
##     68.04, 68.04, 83.91, 72.12, 63.5, 97.52, 68.04, 90.72, 68.04, 
##     86.18, 70.31, 45.36, 85.73, 61.23, 99.79, 96.62, 132, 89.36, 
##     102.06, 80.74, 62.6, 81.65, 113.4, 88.45, 54.43, 77.11, 47.63, 
##     78.47, 86.18, 56.7, 81.65, 69.4, 56.7, 124.74, 113.4, 65.77, 
##     90.72, 92.99, 77.11, 88.9, 86.18, 72.12, 77.11, 63.5, 81.65, 
##     65.77, 127.01, 81.65, 81.65, 86.18, 95.25, 69.4, 78.02, 72.57, 
##     70.31, 117.93, 136.08, 61.23, 56.25, 56.25, 53.98, 97.52, 
##     104.33, 90.72, 113.4, 112.49, 117.93, 95.25, 65.77, 77.11, 
##     48.99, 81.65, 136.08, 80.74, 68.04, 86.18, 86.18, 104.33, 
##     72.57, 81.65, 68.04, 63.5, 80.29, 99.79, 84.37, 48.08, 72.57, 
##     111.13, 52.16, 86.18, 108.86, 96.16, 97.52, 64.41, 90.72, 
##     108.86, 61.23, 113.4, 73.48, 68.95, 106.59, 88.45, 77.56, 
##     97.07, 117.93, 102.06, 72.57, 104.33, 74.84, 90.72, 83.91, 
##     81.65, 74.84, 108.86, 117.93, 68.04, 79.38, 49.9, 77.11, 
##     123.38, 77.11, 77.11, 68.04, 77.11, 92.99, 81.65, 113.4, 
##     72.12, 48.99, 89.81, 77.11, 81.65, 74.84, 90.72, 74.84, 68.04, 
##     77.11, 88.45, 63.5, 108.86, 77.56, 54.43, 72.57, 63.5, 79.38, 
##     72.57, 113.4, 95.25, 79.83, 132.45, 68.04, 68.04, 70.76, 
##     88.45, 68.04, 108.86, 113.4, 92.99, 86.64, 76.2, 72.57, 104.33, 
##     104.33, 81.65, 63.5, 58.97, 100.7, 188.24, 50.8, 60.33, 72.57, 
##     86.18, 92.99, 90.72, 90.72, 80.74, 92.99, 49.9, 115.67, 113.4, 
##     113.4, 86.18, 86.18, 77.11, 97.52, 88.45, 70.31, 74.84, 77.11, 
##     56.7, 90.72, 68.04, 111.13, 109.77, 68.04, 94.35, 56.25, 
##     63.5, 62.6, 74.39, 90.72, 68.04, 122.47, 95.25, 74.84, 56.25, 
##     124.74, 91.63, 90.72, 79.38, 54.43, 79.38, 106.59, 54.43, 
##     68.04, 122.47, 58.51, 48.53, 90.72, 90.72, 60.78, 58.97, 
##     81.65, 68.04, 86.18, 97.52, 110.22, 97.52, 74.84, 103.87, 
##     97.52, 129.27, 66.68, 65.77, 108.86, 88.45, 105.23, 68.49, 
##     66.22, 124.74, 55.79, 58.97, 136.08, 44, 90.72, 86.18, 63.5, 
##     71.21, 90.72, 90.72, 99.79, 76.2, 97.52, 79.38, 68.95, 73.94, 
##     83.91, 140.61, 50.8, 78.02, 154.22, 81.65, 77.11, 81.65, 
##     77.11, 90.72, 74.84, 127.01, 90.72, 97.07, 74.84, 62.14, 
##     72.57, 58.06, 58.06, 53.07, 81.65, 111.13, 58.06, 64.41, 
##     88.45, 68.04, 49.9, 61.23, 104.33, 79.38, 86.18, 120.2, 104.33, 
##     56.7, 81.65, 63.5, 74.84, 77.11, 65.77, 81.65, 72.57, 96.62, 
##     68.04, 79.38, 39.92, 95.25, 127.01, 108.86, 81.65, 68.04, 
##     68.04, 79.38, 63.5, 74.39, 54.43, 77.11, 95.25, 90.72, 57.61, 
##     75.75, 70.31, 154.22, 73.03, 49.9, 136.08, 47.63, 58.97, 
##     65.77, 72.57, 108.41, 68.04, 56.7, 102.06, 65.77, 68.04, 
##     111.58, 99.79, 86.18, 199.58, 197.31, 55.79, 83.91, 90.72, 
##     92.53, 68.04, 81.65, 111.13, 81.65, 56.7, 56.7, 63.5, 99.79, 
##     52.16, 79.38, 74.84, 99.79, 94.8, 74.84, 68.04, 73.48, 72.57, 
##     72.57, 102.51, 62.6, 77.11, 104.33, 56.25, 97.52, 99.79, 
##     90.72, 88.45, 95.25, 63.5, 70.31, 84.82, 81.65, 108.86, 89.81, 
##     69.85, 83.01, 86.18, 83.91, 72.57, 92.99, 77.11, 113.4, 72.57, 
##     81.65, 81.65, 86.18, 58.97, 74.84, 86.18, 183.7, 95.25, 68.04, 
##     90.72, 36.29, 72.57, 68.04, 89.81, 63.5, 77.11, 77.11, 70.31, 
##     68.04, 117.93, 58.51, 61.23, 63.5, 68.04, 95.25, 97.52, 79.83, 
##     111.13, 54.43, 77.11, 138.35, 120.2, 77.11, 95.25, 99.79, 
##     77.11, 79.38, 97.07, 95.71, 56.7, 108.86, 52.62, 90.72, 81.65, 
##     83.91, 84.37, 81.65, 65.77, 77.11, 59.87, 114.31, 77.11, 
##     67.59, 58.97, 90.72, 88.45, 95.25, 108.86, 83.01, 75.75, 
##     79.38, 95.25, 77.11, 97.52, 81.65, 79.38, 72.57, 113.4, 90.72, 
##     106.59, 68.04, 100.24, 72.57, 79.38, 63.5, 90.72, 97.98, 
##     61.23, 83.91, 68.95, 74.84, 86.18, 86.18, 89.36, 63.96, 76.2, 
##     68.95, 83.91, 95.25, 97.52, 90.72, 79.38, 54.43, 83.91, 68.04, 
##     86.18, 93.89, 84.37, 92.99, 74.84, 117.93, 77.11, 86.18, 
##     83.91, 124.74, 68.04, 99.79, 71.67, 102.06, 102.06, 77.11, 
##     90.72, 77.11, 77.11, 45.36, 124.74, 74.84, 63.5, 83.91, 63.5, 
##     79.38, 95.25, 86.18, 131.09, 134.72, 102.06, 88.45, 68.04, 
##     56.7, 65.77, 97.52, 111.13, 158.76, 77.11, 94.8, 79.38, 58.97, 
##     59.87, 133.81, 88.45, 70.31, 67.13, 81.65, 65.77, 102.97, 
##     77.11, 131.54, 54.88, 147.42, 90.72, 58.97, 74.84, 79.38, 
##     88.45, 77.11, 70.31, 83.91, 77.11, 56.7, 81.65, 70.31, 95.25, 
##     145.15, 95.25, 136.08, 74.84, 72.57, 90.26, 65.77, 95.25, 
##     81.65, 86.18, 70.31, 78.93, 104.78, 113.4, 72.57, 99.79, 
##     87.09, 90.72, 63.5, 54.43, 63.5, 86.18, 65.77, 94.35, 83.91, 
##     99.79, 62.14, 54.43, 107.95, 123.38, 54.43, 120.2, 80.74, 
##     89.81, 104.33, 48.08, 117.93, 70.31, 122.47, 74.84, 71.21, 
##     77.11, 112.49, 86.18, 127.01, 74.84, 81.65, 75.3, 74.84, 
##     98.88, 65.32, 61.23, 63.5, 73.03, 85.28, 97.52, 104.33, 72.57, 
##     78.47, 70.31, 102.06, 127.01, 54.43, 83.91, 113.4, 63.5, 
##     106.59, 90.72, 93.44, 119.29, 83.91, 54.43, 90.72, 131.54, 
##     65.77, 92.99, 58.97, 81.65, 62.14, 82.55, 72.57, 92.99, 83.91, 
##     49.9, 104.33, 129.27, 79.38, 83.91, 72.57, 61.23, 62.6, 94.35, 
##     89.36, 81.65, 65.77, 116.57, 136.08, 74.84, 60.33, 49.9, 
##     77.56, 90.72, 99.79, 42.64, 56.7, 83.91, 68.04, 61.23, 158.76, 
##     117.93, 72.57, 69.85, 68, 92.99, 95.25, 90.72, 90.72, 56.7, 
##     74.84, 115.67, 74.84, 79.38, 127.01, 65.77, 86.18, 90.72, 
##     74.84, 81.65, 78.47, 58.97, 49.9, 92.99, 63.5, 72.57, 74.84, 
##     81.19, 79.38, 72.57, 113.4, 180.53, 63.5, 88.45, 88.45, 85.28, 
##     59.87, 100.7, 120.2, 74.84, 63.5, 99.79, 100.24, 64.86, 70.31, 
##     77.11, 90.72, 108.86, 73.48, 68.95, 77.11, 88.45, 74, 63, 
##     56.7, 99.79, 63.5, 107.05, 65.77, 117.93, 176.9, 95.71, 77.11, 
##     88.45, 88.45, 52.16, 115.67, 82.55, 86.18, 81.65, 66.22, 
##     58.06, 70.31, 113.4, 68.04, 111.13, 51.26, 86.18, 83.91, 
##     61.23, 56.7, 87.54, 72.57, 68.04, 80.74, 79.38, 42.64, 77.11, 
##     86.18, 63.5, 83.01, 127.01, 104.33, 93.89, 86.18, 52.16, 
##     83.91, 81.65, 63.5, 120.2, 92.08, 77.11, 72.57, 58.97, 131.09, 
##     81.65, 68.04, 71.67, 74.84, 65.77, 83.91, 63.5, 99.79, 131.09, 
##     56.7, 70.31, 90.72, 81.65, 75.75, 104.33, 56.25, 88.45, 61.23, 
##     99.79, 72.57, 92.99, 86.18, 93.89, 58.97, 90.72, 117.93, 
##     81.65, 72.57, 79.38, 72.57, 117.93, 81.65, 81.65, 85.73, 
##     83.91, 83.91, 127.91, 83.91, 77.11, 58.97, 104.33, 83.91, 
##     74.84, 63.05, 90.72, 86.18, 78.47, 92.99, 79.38, 57.61, 75.75, 
##     75.3, 79.38, 79.83, 61.23, 102.06, 51.26, 176.45, 68.04, 
##     63.05, 71.67, 70.31, 99.79, 108.86, 95.25, 99.79, 101.15, 
##     81.65, 95.25, 68.04, 95.25, 104.33, 56.7, 120.2, 90.72, 86.18, 
##     63.5, 49.9, 50.35, 89.81, 117.93, 102.06, 124.74, 89.81, 
##     95.25, 99.79, 104.33, 88.45, 113.4, 99.79, 96.16, 79.38, 
##     96.62, 73.48, 60.33, 57.15, 90.72, 78.47, 72.57, 104.33, 
##     74.84, 113.4, 76.2, 99.79, 77.11, 86.18, 65.77, 74.84, 102.06, 
##     70.31, 111.13, 117.93, 81.65, 103.42, 90.72, 78.02, 45.36, 
##     64.41, 80.74, 43.09, 68.04, 90.72, 88.45, 58.97, 81.65, 131.54, 
##     58.06, 56.7, 136.08, 86.18, 88.45, 77.11, 80.29, 54.43, 90.72, 
##     74.84, 104.33, 73.94, 72.57, 72.57, 104.33, 90.72, 44, 127.01, 
##     90.72, 74.84, 80.29, 68.04, 129.27, 99.79, 65.77, 88.45, 
##     86.18, 76.2, 81.65, 86.18, 81.65, 79.38, 102.51, 83.91, 117.93, 
##     99.79, 58.97, 74.84, 81.65, 97.52, 72.57, 54.43, 95.25, 104.33, 
##     97.52, 65.77, 142.88, 66.68, 99.79, 77.11, 72.57, 74.39, 
##     90.72, 106.59, 72.57, 90.72, 113.4, 83.91, 92.99, 70.31, 
##     99.79, 56.7, 90.72, 86.18, 54.43, 86.18, 90.72, 72.57, 65.77, 
##     86.18, 90.72, 92.99, 74.84, 83.91, 136.08, 81.65, 79.38, 
##     69.4, 97.52, 92.53, 56.7, 90.72, 68.04, 108.86, 92.99, 85.28, 
##     61.23, 79.38, 72.57, 53.07, 62.6, 106.59, 72.57, 108.86, 
##     74.84, 131.54, 58.97, 128.37, 72.57, 54.43, 80.74, 88, 83.91, 
##     74.84, 108.86, 72.57, 81.65, 70.31, 99.79, 108.86, 63.5, 
##     124.28, 81.65, 73.48, 72.57, 117.93, 104.33, 56.7, 87.09, 
##     104.33, 63.5, 92.99, 52.16, 127.01, 108.86, 102.06, 108.86, 
##     81.19, 81.65, 62.6, 108.86, 72.57, 77.11, 113.4, 86.18, 81.65, 
##     86.18, 86.64, 99.79, 108.86, 74.84, 108.86, 72.57, 49.9, 
##     80.74, 74.84, 102.06, 52.62, 49.9, 90.72, 45.36, 92.99, 58.97, 
##     80.74, 60.78, 72.57, 99.79, 63.5, 77.11, 52.16, 57.61, 88.45, 
##     70.31, 78.02, 45.36, 97.52, 86.18, 58.06, 68.04, 90.72, 112.49, 
##     90.72, 56.7, 78.47, 54.43, 90.72, 84.37, 83.91, 86.18, 77.11, 
##     65.77, 82.1, 98.43, 99.79, 58.06, 113.4, 77.11, 54.43, 90.72, 
##     72.57, 80.74, 86.18, 86.18, 62.14, 74.84, 83.91, 55.79, 68.04, 
##     108.86, 65.77, 145.6, 68.04, 63.5, 56.7, 86.18, 75.3, 61.23, 
##     92.99, 129.27, 86.18, 112.49, 115.67, 76.66, 83.46, 61.23, 
##     72.57, 86.18, 68.04, 120.2, 172.37, 108.86, 53.52, 80.74, 
##     79.38, 113.4, 68.04, 109.77, 96.62, 81.65, 78.02, 102.06, 
##     145.15, 102.06, 95.25, 54.43, 63.5, 58.97, 104.33, 90.72, 
##     72.57, 79.38, 99.79, 104.33, 97.98, 83.91, 86.18, 86.18, 
##     72.57, 90.72, 87.54, 89.36, 92.99, 74.84, 65.77, 97.52, 82.55, 
##     95.25, 63.05, 136.08, 111.13, 68.95, 72.57, 127.01, 81.65, 
##     76.2, 72.57, 81.65, 111.13, 88, 81.65, 45.36, 70.31, 99.79, 
##     54.43, 83.91, 68.04, 62.6, 72.57, 90.72, 131.54, 75.75, 58.97, 
##     68.04, 74.84, 92.99, 108.86, 97.52, 95.25, 95.25, 114.31, 
##     81.65, 58.97, 79.38, 70.76, 106.59, 101.15, 59.87, 124.74, 
##     117.93, 66.22, 65.77, 75.75, 94.8, 54.43, 136.08, 60.33, 
##     79.38, 64.41, 81.65, 127.01, 117.93, 45.36, 56.7, 154.22, 
##     113.4, 83.91, 68.04, 104.33, 94.35, 63.5, 79.38, 93.89, 102.06, 
##     54.43, 61.23, 81.65, 104.33, 86.18, 95.25, 40.37, 97.52, 
##     79.38, 55.34, 82.55, 74.84, 97.52, 64.86, 56.7, 92.99, 70.76, 
##     93.89, 101.15, 63.5, 52.16, 70.76, 88.45, 86.18, 78.02, 72.57, 
##     80.74, 63.5, 117.93, 72.57, 77.11, 73.48, 55, 81.65, 86.18, 
##     68.04, 79.38, 88.45, 56.7, 94.35, 181.44, 113.4, 79.38, 95.25, 
##     108.86, 92.99, 172.37, 95.25, 72.57, 102.06, 63.5, 54.43, 
##     68.04, 95.25, 63.5, 81.65, 105.23, 88.45, 68.04, 90.72, 86.18, 
##     83.91, 63.5, 88.45, 65.77, 74.84, 74.84, 89.81, 149.69, 147.42, 
##     51.71, 117.93, 46.27, 124.74, 70.31, 77.11, 90.72, 102.06, 
##     122.47, 82.55, 108.86, 57.61, 109.32, 70.76, 86.18, 104.33, 
##     52.16, 136.08, 87.54, 63.5, 79.38, 72.57, 79.38, 54.43, 68.04, 
##     72.57, 74.84, 92.99, 88.45, 90.72, 82.55, 106.59, 155.58, 
##     72.57, 77.11, 102.06, 68.04, 63.5, 88.45, 81.65, 113.4, 83.91, 
##     63.5, 99.79, 83.91, 113.4, 45.36, 90.72, 63.5, 55.34, 79.83, 
##     89.36, 74.84, 65.77, 79.38, 68.04, 58.97, 88.45, 88.45, 77.11, 
##     81.65, 86.18, 83.91, 108.86, 65.77, 68.04, 61.23, 65.77, 
##     167.83, 90.72, 61.23, 122.47, 104.33, 124.74, 109.77, 81.65, 
##     99.79, 88.45, 51.26, 68.04, 61.23, 81.19, 102.06, 86.18, 
##     65.77, 68.95, 70.31, 72.57, 99.79, 56.25, 58.51, 63.5, 58.06, 
##     86.18, 86.18, 104.33, 136.08, 79.38, 136.08, 58.97, 61.23, 
##     72.57, 83.91, 72.57, 72.57, 102.06, 70.31, 68.04, 113.4, 
##     86.18, 70.31, 113.4, 70.31, 113.4, 138.35, 88.45, 103.42, 
##     85.28, 104.33, 68.04, 68.04, 62.14, 54.43, 81.65, 120.2, 
##     79.38, 69.4, 104.33, 104.33, 95.25, 124.74, 81.65, 72.57, 
##     86.18, 61.23, 68.04, 80.74, 81.65, 83.91, 59.87, 72.57, 74.84, 
##     74.84, 97.07, 88.45, 56.7, 81.65, 73.48, 90.72, 104.33, 118.84, 
##     78.93, 68.04, 62.6, 70.31, 80.74, 84.37, 68.04, 90.72, 113.4, 
##     54.43, 81.65, 131.54, 95.25, 54.43, 97.52, 81.19, 90.72, 
##     81.65, 92.99, 104.78, 98.88, 90.72, 90.72, 82.55, 106.59, 
##     61.23, 90.72, 90.72, 84.82, 77.11, 95.25, 77.11, 68.04, 92.99, 
##     68.04, 58.97, 90.72, 68.04, 58.97, 90.72, 47.63, 95.25, 113.4, 
##     54.43, 96.16, 74.84, 48.08, 83.91, 86.18, 63.5, 83.91, 48.99, 
##     72.57, 72.57, 92.99, 92.99, 63.5, 121.11, 99.79, 111.13, 
##     104.33, 90.72, 105.23, 181.44, 81.65, 78.02, 54.88, 70.31, 
##     53.52, 86.18, 80.74, 98.88, 70.76, 56.7, 86.18, 58.97, 81.65, 
##     72.57, 69.85, 97.52, 108.86, 99.79, 99.79, 88.45, 63.5, 102.06, 
##     86.18, 63.5, 70.31, 142.88, 99.79, 156.49, 181.44, 79.38, 
##     72.57, 90.72, 81.65, 65.32, 73.94, 60.33, 111.13, 97.52, 
##     123.38, 86.18, 83.91, 77.11, 124.74, 76.66, 120.2, 92.53, 
##     49.9, 61.23, 86.18, 113.4, 70.76, 80.29, 114.76, 81.65, 95.25, 
##     97.07, 76.2, 104.33, 78.93, 77.11, 91.63, 104.33, 149.69, 
##     136.08, 108.86, 136.08, 81.65, 63.5, 90.72, 81.65, 81.65, 
##     97.52, 72.57, 97.52, 81.65, 78.47, 97.52, 76.66, 102.06, 
##     72.57, 128.82, 83.91, 86.18, 77.11, 120.2, 52.16, 120.66, 
##     113.4, 74.84, 50.35, 99.79, 86.18, 93.44, 63.5, 108.86, 81.65, 
##     74.84, 86.18, 54.43, 92.53, 76.2, 83.01, 122.47, 86.18, 92.08, 
##     92.99, 88.9, 60.78, 99.79, 77.11, 86.18, 124.74, 58.97, 64.41, 
##     68.04, 130.63, 79.38, 71.21, 61.23, 79.38, 90.72, 120.2, 
##     49.9, 83.91, 63.5, 73.94, 129.27, 113.4, 86.18, 68.04, 86.18, 
##     99.79, 72.57, 54.43, 58.97, 81.65, 83.91, 86.18, 54.43, 129.73, 
##     81.65, 83.91, 58.97, 97.52, 72.57, 90.72, 74.84, 108.86, 
##     86.18, 90.72, 73.94, 83.91, 181.44, 70.76, 80.74, 70.31, 
##     68.04, 65.77, 103.87, 65.77, 65.32, 127.01, 63.5, 78.02, 
##     56.7, 86.18, 86.18, 136.08, 97.52, 89.81, 81.65, 74.84, 54.43, 
##     99.79, 81.65, 74.84, 68.04, 86.18, 136.08, 104.33, 63.5, 
##     56.7, 65.77, 79.38, 79.38, 86.18, 95.25, 63.5, 70.76, 151.95, 
##     83.91, 86.18, 113.4, 54.43, 95.25, 37.19, 74.84, 88.45, 88.9, 
##     72.57, 86.18, 58.06, 90.72, 111.13, 108.86, 97.07, 54.43, 
##     79.38, 92.99, 56.7, 104.33, 56.7, 38.56, 86.18, 79.38, 74.84, 
##     108.86, 56.7, 99.79, 83.91, 92.99, 90.72, 88.45, 63.5, 99.79, 
##     81.65, 95.25, 88.45, 78.93, 89.36, 95.25, 90.72, 65.77, 58.97, 
##     99.79, 81.65, 49.9, 81.65, 72.57, 99.79, 74.84, 83.91, 108.86, 
##     104.78, 113.4, 133.36, 61.23, 49.9, 77.11, 88.45, 108.86, 
##     72.57, 68.04, 74.84, 90.72, 90.72, 99.79, 58.97, 42.18, 74.84, 
##     99.79, 83.46, 99.79, 81.65, 75.3, 80.29, 72.57, 92.99, 113.4, 
##     102.51, 78.02, 86.18, 108.86, 70.76, 90.72, 55.34, 81.65, 
##     79.38, 74.84, 79.38, 68.04, 58.06, 77.11, 77.11, 111.13, 
##     88.45, 76.2, 68.49, 78.47, 81.65, 83.46, 111.13, 92.08, 86.18, 
##     89.81, 63.5, 95.25, 72.57, 117.93, 68.04, 65.77, 96.16, 54.43, 
##     90.72, 97.52, 104.33, 90.72, 136.08, 95.25, 86.18, 81.65, 
##     72.57, 63.05, 99.79, 86.18, 79.38, 130.63, 104.33, 82.55, 
##     98.88, 127.01, 71.67, 88.45, 90.72, 86.18, 86.18, 106.14, 
##     53.07, 70.76, 54.43, 81.65, 108.86, 77.11, 79.38, 77.11, 
##     96.62, 81.65, 88.45, 63.5, 66.22, 68.04, 61.23, 95.25, 81.65, 
##     92.99, 70.31, 54.43, 95.25, 81.19, 56.7, 58.06, 102.06, 79.38, 
##     81.65, 83.01, 45.36, 88.45, 81.65, 65.77, 53.52, 99.79, 122.47, 
##     81.65, 78.02, 226.8, 86.18, 74.84, 81.65, 43.54, 86.18, 92.99, 
##     89.81, 79.38, 66.68, 89.36, 63.5, 79.38, 113.4, 89.36, 50.8, 
##     58.97, 63.5, 70.31, 90.72, 77.11, 81.65, 68.04, 88, 80.74, 
##     93.44, 92.99, 72.57, 72.57, 62.6, 56.7, 81.19, 117.93, 86.18, 
##     61.23, 81.65, 77.11, 54.43, 113.4, 72.57, 71.67, 72.57, 90.72, 
##     65.77, 97.07, 58.97, 90.72, 68.04, 56.7, 55.79, 58.51, 49.9, 
##     68.04, 90.72, 58.97, 163.29, 72.57, 77.11, 65.77, 74.84, 
##     99.79, 63.5, 99.79, 115.67, 90.72, 122.47, 58.97, 59.87, 
##     81.65, 65.77, 88.45, 77.11, 100.24, 87.09, 63.5, 65.77, 81.65, 
##     81.65, 81.65, 131.54, 61.23, 63.5, 63.5, 59.87, 81.65, 95.25, 
##     77.11, 72.57, 67.13, 59.87, 85.73, 74.84, 59.42, 68.04, 79.38, 
##     109.32, 87.09, 81.65, 72.57, 79.38, 52.16, 74.84, 108.86, 
##     78.02, 106.59, 115.67, 68.04, 90.72, 66.22, 102.06, 86.18, 
##     81.65, 81.65, 83.91, 97.52, 68.04, 52.16, 86.18, 69.4, 68.04, 
##     77.11, 131.54, 72.57, 83.46, 61.23, 129.73, 63.5, 83.91, 
##     95.25, 91.63, 90.72, 108.86, 84.37, 99.79, 63.05, 92.99, 
##     81.65, 49.9, 70.76, 63.5, 84.37, 92.99, 77.11, 58.97, 122.47, 
##     72.57, 74.84, 113.4, 68.04, 79.38, 63.5, 66.22, 104.33, 99.79, 
##     58.97, 99.79, 83.91, 127.01, 72.57, 58.97, 78.02, 86.18, 
##     57.61, 86.18, 113.4, 45.36, 68.04, 81.65, 90.72, 95.25, 99.79, 
##     127.01, 55.34, 87.54, 135.17, 127.01, 95.25, 58.97, 101.15, 
##     68.04, 59.87, 99.79, 54.43, 74.84, 49.9, 100.24, 54.43, 69.4, 
##     77.11, 104.33, 113.4, 68.04, 90.72, 76.2, 90.72, 74.84, 90.72, 
##     109.77, 117.03, 63.5, 61.23, 81.65, 57.61, 65.77, 45.36, 
##     61.23, 58.97, 72.57, 88.45, 99.79, 97.07, 79.38, 61.23, 90.72, 
##     62.6, 75.75, 145.15, 90.72, 87.09, 80.74, 86.18, 63.05, 58.97, 
##     87.09, 81.65, 79.38, 72.57, 122.47, 88.45, 54.43, 83.91, 
##     68.49, 86.18, 86.18, 70.31, 90.72, 58.97, 81.65, 120.2, 77.11, 
##     122.47, 113.4, 99.79, 56.7, 68.04, 63.5, 91.17, 81.65, 69.85, 
##     83.01, 99.79, 81.65, 142.88, 89.36, 61.23, 52.16, 61.23, 
##     76.2, 65.77, 65.77, 76.2, 136.08, 131.54, 70.31, 140.61, 
##     68.04, 136.08, 81.65, 86.18, 108.86, 117.93, 113.4, 70.31, 
##     73.48, 63.5, 77.11, 65.77, 68.04, 43.09, 68.04, 79.38, 78.02, 
##     102.06, 61.23, 113.4, 104.33, 91.63, 90.72, 69.4, 104.33, 
##     99.79, 77.11, 74.84, 63.5, 52.62, 90.72, 112.94, 85.73, 86.18, 
##     61.23, 86.18, 158.76, 47.63, 70.31, 78.02, 57.61, 86.18, 
##     56.7, 90.72, 81.65, 81.65, 102.97, 117.93, 99.34, 89.81, 
##     113.4, 60.33, 61.23, 68.04, 90.72, 88.45, 71.67, 87.09, 54.43, 
##     49.9, 99.79, 122.47, 86.18, 97.52, 83.46, 99.79, 104.33, 
##     85.28, 81.65, 106.59, 69.4, 80.74, 90.72, 77.11, 63.5, 74.84, 
##     149.69, 70.31, 83.91, 58.97, 79.38, 83.91, 81.65, 97.52, 
##     99.79, 78.47, 81.65, 96.16, 63.5, 86.18, 70.31, 117.93, 72.57, 
##     54.43, 89.81, 63.5, 90.72, 68.04, 106.59, 99.79, 88.45, 54.43, 
##     49.9, 61.23, 81.65, 72.57, 92.99, 81.65, 96.62, 72.12, 68.04, 
##     74.84, 81.65, 72.57, 54.43, 104.33, 63.5, 81.65, 95.25, 90.72, 
##     102.06, 102.51, 90.72, 90.72, 64.41, 115.67, 92.99, 74.84, 
##     95.25, 79.38, 56.7, 90.72, 74.84, 99.79, 109.77, 77.11, 111.13, 
##     58.51, 90.72, 70.31, 97.52, 68.04, 77.11, 71.67, 92.99, 56.7, 
##     58.06, 58.97, 104.33, 61.23, 117.93, 71.67, 56.7, 63.5, 68.04, 
##     99.79, 127.01, 56.7, 68.04, 92.99, 61.23, 88.45, 91.63, 70.31, 
##     120.2, 136.08, 63.5, 54.43, 68.04, 81.65, 79.38, 59.87, 83.91, 
##     83.91, 76.2, 81.65, 79.83, 102.06, 60.78, 113.4, 61.23, 70.76, 
##     88.45, 68.04, 74.84, 44.45, 102.06, 63.5, 108.86, 68.04, 
##     66.22, 113.4, 72.57, 77.11, 65.77, 84.82, 81.65, 90.72, 79.38, 
##     113.4, 66.68, 86.18, 69.4, 81.65, 81.19, 63.5, 83.91, 63.5, 
##     104.33, 122.47, 52.62, 90.72, 41.28, 70.31, 54.43, 72.57, 
##     99.79, 72.57, 68.04, 65.77, 74.84, 86.18, 79.38, 89.81, 79.38, 
##     95.25, 140.61, 61.23, 65.77, 90.72, 113.4, 63.5, 63.05, 50.8, 
##     58.97, 108.86, 72.57, 79.38, 68.04, 86.18, 104.33, 77.11, 
##     63.5, 127.01, 90.72, 54.43, 71.21, 90.72, 77.11, 74.84, 77.11, 
##     83.91, 90.72, 117.93, 113.4, 158.76, 83.91, 90.72, 113.4, 
##     81.65, 106.59, 102.06, 68.04, 53.52, 58.97, 64.86, 99.79, 
##     88.45, 81.65, 63.5, 86.64, 90.72, 67.59, 79.38, 63.5, 99.79, 
##     86.18, 102.06, 79.38, 58.97, 74.84, 65.32, 77.11, 57.15, 
##     58, 108.86, 62.14, 81.65, 56.7, 52.16, 93.89, 89.81, 61.23, 
##     47.63, 65.77, 63.05, 47.63, 70.31, 67.59, 108.86, 81.65, 
##     86.18, 77.11, 65.77, 95.25, 60.78, 47.63, 79.38, 61.23, 54.43, 
##     64.86, 77.11, 88.45, 90.72, 64.86, 52.16, 122.47, 83.91, 
##     61.69, 74.84, 83.46, 62.6, 68.04, 79.38, 68.04, 86.18, 68.04, 
##     74.84, 68.04, 52.16, 86.18, 68.04, 74.84, 90.72, 72.57, 65.77, 
##     82.55, 60, 65.77, 58.97, 117.93, 86.18, 56.7, 86.18, 54.43, 
##     61.23, 81.65, 117.93, 81.65, 71.67, 72.57, 81.65, 113.4, 
##     58.97, 74.84, 72.57, 47.63, 97.52, 61.69, 73.94, 106.59, 
##     115.67, 60.78, 61.69, 90.72, 56.7, 99.79, 57.15, 113.4, 79.38, 
##     106.59, 65.77, 58.97, 108.86, 122.47, 74.84, 113.4, 86.18, 
##     104.33, 95.25, 68.04, 86.18, 66.68, 88.45, 83.01, 79.38, 
##     113.4, 79.38, 104.33, 65.77, 72.57, 136.08, 68.04, 90.72, 
##     56.7, 90.72, 63.5, 90.72, 106.59, 47.63, 113.4, 77.11, 95.25, 
##     97.52, 99.79, 57.61, 64.41, 59.87, 60, 83.91, 58.97, 72.57, 
##     73.48, 70.31, 72.57, 90.72, 102.06, 61.69, 79.38, 63.5, 82.55, 
##     63.5, 108.86, 81.65, 70.31, 105.23, 77.11, 99.79, 99.79, 
##     86.18, 77.11, 77.11, 79.38, 52.16, 113.4, 56.7, 81.65, 44.45, 
##     59.87, 58.97, 86.18, 70.31, 113.4, 58.97, 99.79, 70.31, 68.04, 
##     95.25, 72.57, 86.18, 69.4, 90.72, 76.2, 92.99, 88.45, 99.79, 
##     64.41, 58.97, 70.31, 63.5, 90.72, 81.65, 146.06, 108.86, 
##     88.45, 108.86, 83.01, 77.11, 74.84, 82.55, 63.5, 75.75, 68.04, 
##     56.7, 40.82, 68.04, 131.54, 65.77, 47.63, 110.22, 65.77, 
##     83.91, 68.04, 58.97, 95.25, 64.86, 88.45, 77.11, 72.57, 53.52, 
##     85.73, 66.68, 58.97, 58.97, 74.84, 94.8, 77.11, 88.45, 81.65, 
##     81.65, 68.04, 113.4, 124.74, 95.25, 61.23, 70.31, 108.86, 
##     79.38, 45.36, 113.4, 68.04, 90.72, 58.97, 79.38, 104.33, 
##     77.11, 77.11, 99.79, 83.91, 99.79, 68.04, 107.95, 92.99, 
##     86.18, 66.68, 62.6, 47.17, 70.31, 104.33, 63.5, 102.06, 56.7, 
##     74.84, 104.33, 65.77, 90.72, 72.57, 58.97, 61.23, 97.52, 
##     140.61, 61.23, 86.18, 113.4, 70.31, 63.5, 124.74, 81.65, 
##     77.11, 74.84, 68.04, 65.77, 90.72, 120.2, 68.04, 93.44, 58.97, 
##     71.21, 83.91, 92.99, 61.23, 117.93, 75, 86.18, 122.47, 88.45, 
##     77.11, 113.4, 70.31, 72.57, 48.99, 81.65, 72.57, 44, 120.2, 
##     113.4, 95.25, 133.81, 89.36, 113.4, 72.57, 116.12, 42.18, 
##     48.53, 113.4, 95.71, 136.08, 60.33, 65.32, 95.25, 92.99, 
##     56.25, 81.65, 74.84, 79.38, 80.74, 74.39, 80.74, 63.5, 72.57, 
##     68.04, 104.33, 86.18, 68.04, 88.45, 60.78, 81.65, 90.72, 
##     68.04, 72.57, 74.84, 68.04, 81.65, 90.72, 61.23, 91.17, 99.79, 
##     137.44, 92.99, 79.38, 82.55, 72.57, 77.11, 69.85, 80, 95.25, 
##     72.57, 68.95, 86.18, 111.13, 92.99, 107.95, 111.13, 86.18, 
##     108.86, 72.57, 103.42, 63.5, 86.18, 81.65, 79.83, 58.97, 
##     117.93, 95.25, 117.93, 169.19, 68.04, 99.79, 77.11, 83.91, 
##     69.85, 124.74, 67.59, 54.43, 68.04, 68.04, 79.38, 66.68, 
##     86.18, 63.5, 78.93, 81.65, 77.11, 80.29, 56.7, 95.25, 113.4, 
##     88.45, 45.36, 95.25, 61.23, 86.18, 108.86, 72.57, 90.72, 
##     83.91, 92.99, 104.33, 53.52, 65.77, 58.06, 140.61, 73.94, 
##     90.72, 81.65, 95.25, 108.86, 79.38, 62.6, 80.74, 90.72, 106.59, 
##     79.38, 56.7, 59.87, 90.72, 56.7, 79.83, 70.31, 61.23, 54.43, 
##     54.43, 58.97, 56.7, 72.57, 113.85, 56.7, 113.4, 108.86, 83.01, 
##     70.31, 83.91, 81.65, 108.86, 104.33, 68.95, 68.49, 73.94, 
##     45.36, 70.31, 72.57, 52.16, 74.84, 81.65, 57.61, 113.4, 83.91, 
##     70.31, 58.97, 90.72, 72.57, 70.76, 59.42, 104.33, 71.67, 
##     65.77, 69.85, 64.41, 63.5, 86.18, 77.11, 90.72, 57.61, 53.52, 
##     64.86, 90.72, 82.55, 81.65, 68.04, 72.57, 136.08, 149.69, 
##     76.2, 97.52, 79.38, 65.77, 54.43, 124.74, 68.04, 81.65, 77.11, 
##     58.97, 65.77, 68.95, 89.36, 48.99, 63.5, 81.65, 72.57, 74.84, 
##     88.45, 83.01, 111.58, 74.84, 102.06, 129.27, 86.18, 81.65, 
##     92.99, 95.25, 90.72, 86.18, 74.84, 95.25, 58.97, 91.63, 77.11, 
##     81.65, 77.11, 68.04, 117.93, 83.91, 104.33, 81.65, 54.43, 
##     115.67, 79.38, 101, 62.6, 140.61, 58.97, 66.68, 106.59, 53.98, 
##     73.03, 117.93, 99.79, 58.97, 58.97, 63.5, 77.11, 78.93, 95.25, 
##     111.13, 56.7, 136.08, 96.62, 49.9, 61.23, 58.97, 68.04, 79.38, 
##     131.54, 50.8, 70.31, 88.9, 99.79, 95.25, 70.31, 63.5, 86.18, 
##     108.86, 45.36, 147.42, 68.04, 104.33, 90.72, 74.84, 49.9, 
##     86.18, 81.65, 136.08, 83.91, 58.97, 117.93, 70.31, 92.53, 
##     76.2, 90.72, 52.16, 81.65, 99.79, 68.04, 63.5, 86.18, 147.42, 
##     54.43, 77.11, 58.97, 108.86, 77.11, 81.65, 72.57, 69.4, 88.45, 
##     113.4, 72.57, 108.86, 99.79, 108.86, 99.79, 113.4, 74.84, 
##     68.04, 65.77, 80.74, 52.62, 77.11, 86.18, 65.77, 68.04, 99.79, 
##     108.86, 92.99, 128.82, 72.57, 83.91, 61.23, 113.4, 54.43, 
##     79.38, 99.79, 131.54, 77.11, 99.79, 103.42, 90.72, 86.18, 
##     99.79, 58.97, 99.79, 74.84, 74.84, 72.57, 72.57, 86.18, 36.29, 
##     79.38, 56.7, 61.23, 90.72, 127.01, 63.5, 68.04, 63.5, 54.43, 
##     90.72, 81.65, 58.51, 72.57, 84.37, 108.86, 72.57, 94.8, 90.72, 
##     77.11, 95.25, 81.65, 104.33, 90.72, 86.18, 54.43, 89.81, 
##     53.52, 81.65, 90.72, 55.79, 77.11, 78.47, 58.06, 61.23, 72.57, 
##     88.45, 72.57, 97.52, 131.54, 77.11, 145.15, 86.18, 86.18, 
##     63.5, 120.2, 99.79, 58.97, 77.11, 72.57, 81.65, 57.15, 64.41, 
##     70.31, 86.18, 86.18, 52.16, 45.36, 88.45, 99.79, 61.23, 99.79, 
##     133.81, 68.04, 68.04, 78.47, 83.91, 90.72, 90.72, 68.04, 
##     74.84, 68.04, 140.61, 71.67, 63.5, 70.31, 86.18, 54.43, 108.86, 
##     92.08, 77.11, 58.97, 113.4, 53.52, 54.43, 58.51, 56.7, 90.72, 
##     109.77, 72.57, 97.52, 77.11, 68.04, 90.72, 80.74, 113.4, 
##     105.23, 86.18, 59.42, 78.93, 81.65, 72.57, 122.47, 52.16, 
##     54.43, 82.55, 106.59, 73.03, 97.52, 77.11, 79.38, 97.98, 
##     88, 99.79, 73.94, 45.36, 47.63, 61.23, 108.86, 45.36, 79.38, 
##     90.72, 83.91, 90.72, 83.91, 61.69, 61.23, 65.77, 68.04, 83.91, 
##     63.5, 99.79, 112.04, 74.84, 79.38, 111.13, 92.99, 70.31, 
##     56.7, 52.16, 86.18, 101.15, 65.77, 80, 90.72, 97.07, 81.65, 
##     120.2, 61.23, 104.33, 61.23, 95.25, 58.97, 70.31, 76.2, 63.5, 
##     48.99, 68.04, 63.5, 48.53, 87.54, 72.57, 111.13, 65.77, 86.18, 
##     108.86, 72.57, 104.33, 77.11, 86.64, 102.06, 74.84, 67.13, 
##     95.25, 127.01, 81.65, 88, 77.11, 127.01, 103.87, 72.57, 63.5, 
##     58.97, 86.18, 75.3, 104.33, 127.01, 108.86, 79.38, 72.57, 
##     61.23, 79.38, 49.44, 68.04, 79.38, 97.07, 127.01, 58.97, 
##     72.57, 61.23, 131.09, 75.75, 93.89, 99.79, 64.86, 116.12, 
##     80.29, 91.63, 81.65, 81.65, 83.01, 127.01, 90.72, 90.72, 
##     79.38, 81.65, 124.74, 58.06, 70.31, 99.79, 96.16, 95.25, 
##     113.4, 54.43, 75.3, 79.38, 95.25, 90.72, 65.77, 80.74, 96.16, 
##     90.72, 85.73, 90.72, 107.05, 65.77, 79.38, 80.74, 83.91, 
##     104.33, 89.36, 108.86, 65.77, 99.79, 81.19, 127.01, 106.59, 
##     63.5, 77.11, 92.53, 48.08, 90.72, 70.76, 74.84, 74.84, 99.79, 
##     68.04, 90.72, 97.52, 72.57, 84.37, 88.45, 136.08, 61.23, 
##     90.72, 56.7, 117.93, 79.38, 86.18, 113.4, 83.91, 53.52, 68.04, 
##     127.01, 85.73, 81.65, 54.43, 89.81, 82.55, 90.72, 83.91, 
##     72.57, 77.11, 99.79, 97.52, 81.65, 158.76, 136.08, 54.88, 
##     97.52, 58.06, 68.49, 86.64, 77.11, 86.18, 62.14, 83.91, 123.38, 
##     81.19, 77.11, 62.6, 122.47, 117.93, 90.72, 69.4, 129.27, 
##     68.04, 86.18, 44.45, 58.97, 69.85, 70.31, 54.43, 83.91, 99.79, 
##     104.33, 72.57, 90.72, 79.38, 111.13, 61.23, 92.08, 104.33, 
##     87.09, 72.57, 63.5, 57.61, 68.04, 56.25, 63.5, 74.39, 99.79, 
##     77.11, 81.65, 83.91, 71.21, 81.65, 49.9, 90.72, 133.81, 113.4, 
##     45.36, 110.22, 90.26, 72.57, 92.99, 90.72, 53.07, 70.31, 
##     51.71, 81.65, 56.25, 77.11, 83.91, 81.65, 102.06, 71.67, 
##     72.57, 86.18, 123.38, 72.57, 72.57, 90.72, 136.08, 83.91, 
##     92.53, 63.5, 92.99, 102.06, 86.18, 102.06, 81.65, 113.4, 
##     53.07, 81.65, 67.59, 113.4, 99.79, 74.84, 58.51, 83.91, 102.06, 
##     81.65, 68.04, 81.65, 111.13, 90.72, 133.81, 56.7, 104.33, 
##     77.11, 58.97, 63.05, 81.65, 81.65, 56.7, 65.32, 115.67, 44.45, 
##     68.04, 72.57, 43.09, 55.34, 97.07, 81.65, 71.67, 113.4, 122.47, 
##     72.57, 92.99, 69.85, 67.13, 90.72, 115.21, 52.16, 90.72, 
##     92.99, 176.9, 95.25, 81.65, 92.99, 63.5, 77.11, 73.94, 56.7, 
##     154.22, 63.5, 86.18, 86.18, 65.77, 81.19, 105.23, 156.04, 
##     113.4, 95.25, 91.63, 226.8, 52.16, 72.57, 56.7, 77.11, 70.31, 
##     97.52, 97.98, 104.33, 90.72, 80.29, 80.29, 106.59, 95.25, 
##     68.04, 83.91, 90.72, 81.65, 75.75, 120.2, 60.78, 78.93, 62.6, 
##     54.43, 52.62, 86.18, 80.74, 95.25, 49.9, 92.53, 52.16, 90.72, 
##     85.73, 78.02, 101.6, 95.25, 63.5, 95.25, 72.57, 72.57, 81.65, 
##     104.33, 63.05, 50.8, 79.38, 61.69, 95.25, 54.43, 102.06, 
##     73.03, 81.65, 129.27, 90.72, 133.81, 67.59, 58.97, 72.57, 
##     77.11, 90.72, 97.52, 81.65, 74.84, 86.64, 90.72, 95.25, 86.18, 
##     72.57, 99.79, 122.47, 111.13, 71.21, 104.33, 81.65, 136.08, 
##     58.97, 90.72, 89.81, 90.72, 86.18, 52.16, 83.91, 56.7, 67.59, 
##     72.57, 136.08, 72.57, 83.91, 86.18, 88.45, 67.13, 56.25, 
##     70.31, 120.2, 85.73, 54.43, 90.72, 65.77, 63.5, 98.88, 106.59, 
##     83.91, 213.19, 66.22, 68.04, 61.23, 49.44, 65.77, 68.04, 
##     63.5, 79.38, 108.86, 52.16, 97.52, 61.23, 70.31, 113.4, 54.43, 
##     83.46, 81.65, 77.11, 86.18, 104.33, 81.65, 86.18, 88.45, 
##     70.76, 81.65, 104.33, 61.23, 90.72, 94.35, 124.28, 140.61, 
##     65.77, 94.35, 72.57, 70.31, 60.33, 88.45, 86.18, 54.43, 65.77, 
##     49.44, 90.72, 104.33, 104.78, 90.72, 81.65, 70.31, 96.62, 
##     77.11, 90.72, 77.11, 108.86, 86.18, 63.05, 98.88, 99.79, 
##     68.04, 63.5, 90.72, 181.44, 90.26, 74.84, 68.04, 81.65, 81.65, 
##     108.86, 99.79, 92.53, 97.52, 79.38, 61.69, 46.27, 82.55, 
##     81.65, 81.65, 64.41, 81.65, 86.18, 71.21, 70.76, 65.77, 65.77, 
##     70.31, 109.32, 54.43, 90.72, 83.91, 72.57, 86.18, 77.11, 
##     86.18, 108.86, 73.48, 127.01, 99.79, 127.01, 58.97, 83.91, 
##     96.62, 80.74, 107.95, 72.57, 78, 83.91, 86.18, 66.22, 72.57, 
##     88.45, 83.91, 97.52, 95.25, 61.69, 74.84, 63.5, 81.65, 95.25, 
##     68.04, 93.44, 72.57, 72.57, 77.11, 113.4, 122.47, 79.38, 
##     72.57, 79.38, 97.07, 131.54, 55.79, 74.84, 145.15, 67.59, 
##     90.72, 85.28, 77.11, 90.72, 62.14, 77.11, 81.65, 98.88, 68.04, 
##     65.77, 81.65, 79.38, 72.57, 76.2, 81.65, 72.57, 67.13, 55.34, 
##     113.4, 77.11, 77.11, 99.79, 56.7, 72.57, 81.65, 69.85, 99.79, 
##     74.84, 62.14, 97.52, 76.2, 76.66, 79.38, 81.65, 66.68, 53.98, 
##     107.5, 58.06, 86.18, 58.97, 86.18, 78.02, 122.47, 127.01, 
##     61.23, 106.59, 81.19, 73.94, 97.52, 61.23, 56.7, 58.97, 58.97, 
##     90.72, 79.38, 117.93, 54.88, 90.72, 68.04, 68.04, 74.84, 
##     85.28, 105.23, 158.76, 70.31, 95.71, 71.67, 74.84, 81.65, 
##     81.65, 86.18, 58.97, 70.31, 90.72, 86.64, 97.07, 77.11, 58.97, 
##     97.52, 72.57, 79.38, 61.23, 86.18, 64.41, 77.11, 68.04, 74.84, 
##     104.33, 142.88, 54.43, 68.04, 56.7, 106.59, 77.11, 77.11, 
##     90.72, 79.38, 54.43, 74.84, 72.57, 65.32, 58.97, 50.8, 67.13, 
##     76.66, 77.11, 102.06, 81.65, 68.04, 68.04, 74.84, 113.4, 
##     65.77, 97.07, 99.79, 86.18, 73.48, 63.5, 86.18, 97.52, 108.86, 
##     65.77, 92.99, 108.86, 78.02, 90.26, 102.06, 147.42, 101.6, 
##     68.04, 102.06, 81.65, 117.93, 147.42, 67.13, 120.2, 102.06, 
##     65.77, 81.65, 99.79, 78.02, 124.74, 67.13, 83.91, 72.57, 
##     83.91, 72.57, 99.79, 81.65, 68.04, 90.72, 104.33, 61.23, 
##     97.52, 57.61, 88, 64.41, 95.25, 58.97, 68.04, 74.84, 105, 
##     90.72, 63.5, 59.87, 99.79, 90.72, 70.76, 92.99, 58.06, 86.18, 
##     72.57, 99.79, 72.57, 90.72, 124.74, 56.7, 83.91, 99.79, 83.91, 
##     90.72, 81.65, 72.57, 62.14, 90.72, 58.97, 70.31, 108.86, 
##     77.11, 76.2, 61.23, 111.13, 113.4, 46.27, 81.65, 90.72, 95.25, 
##     47.63, 87.54, 137.89, 81.65, 81.65, 95.25, 62.14, 54.43, 
##     56.7, 84.82, 77.11, 69.85, 90.72, 97.52, 102.06, 86.18, 79.83, 
##     70.31, 72.57, 105.23, 77.11, 92.99, 99.79, 92.99, 90.72, 
##     54.43, 61.23, 74.84, 68.95, 74.84, 52.16, 70.31, 95.25, 70.31, 
##     86.18, 74.84, 63.5, 108.41, 56.7, 85.73, 74.84, 65.77, 88.45, 
##     72.57, 56.7, 111.13, 102.06, 127.01, 86.18, 99.34, 80.74, 
##     54.43, 57.61, 76.2, 68.04, 77.11, 104.33, 81.65, 92.08, 63.5, 
##     47.63, 72.57, 163.29, 86.18, 102.06, 102.06, 77.11, 79.38, 
##     68.95, 74.84, 56.7, 90.72, 57.61, 83.91, 81.65, 77.11, 83.91, 
##     90.26, 99.79, 70.31, 93.89, 58.97, 74.84, 99.79, 89.81, 90.72, 
##     79.38, 90.72, 104.33, 56.7, 65.77, 113.4, 74.84, 72.57, 54.43, 
##     127.01, 90.72, 89.81, 95.25, 99.79, 58.97, 56.7, 70.31, 77.11, 
##     101.6, 76.2, 134.26, 79.38, 108.86, 83.91, 58.97, 89.81, 
##     90.72, 79.38, 68.95, 95.25, 68.04, 81.65, 99.79, 113.4, 113.4, 
##     99.79, 90.72, 89.81, 117.93, 74.39, 75.75, 68.04, 80.74, 
##     70.31, 54.43, 81.65, 91.17, 47.63, 86.18, 117.93, 72.57, 
##     54.43, 110.22, 127.01, 112.49, 96.62, 89.36, 87.09, 72.57, 
##     72.57, 70.31, 96.16, 61.23, 110.22, 124.74, 83, 72.57, 97.52, 
##     103.42, 82.55, 106.59, 83.91, 133.36, 88.45, 61.23, 77.11, 
##     65.77, 68.04, 72.57, 55.79, 108.86, 54.43, 54.43, 46.27, 
##     104.33, 87.09, 124.74, 90.26, 68.04, 72.12, 57.61, 54.43, 
##     72.57, 90.72, 67.13, 89.81, 86.18, 58.06, 90.72, 71.21, 92.99, 
##     97.52, 114.31, 95.25, 90.72, 81.65, 76.2, 90.72, 90.72, 74.84, 
##     63.05, 118.84, 58.97, 70.31, 88.45, 99.79, 92.99, 122.47, 
##     56.7, 97.52, 78.93, 90.72, 69.4, 73.48, 108.86, 113.4, 130.18, 
##     106.59, 66.22, 63.5, 86.18, 68.95, 82.55, 68.04, 99.79, 95.25, 
##     85.28, 58.97, 95.25, 54.43, 95.25, 120.2, 81.65, 103.87, 
##     110.68, 74.84, 113.4, 97.52, 77.56, 122.47, 113.4, 127.91, 
##     113.4, 78.47, 65.77, 78.02, 113.4, 86.18, 68.95, 113.4, 83.91, 
##     53, 74.84, 81.65, 106.59, 122.47, 102.06, 70.76, 81.65, 72.57, 
##     106.59, 104.33, 81.65, 81.19, 70.76, 90.72, 72.12, 82.55, 
##     72.57, 65.77, 108.86, 63.5, 45.81, 117.93, 77.11, 57.15, 
##     82.55, 63.5, 72.57, 90.72, 117.93, 90.72, 72.57, 79.38, 76.2, 
##     101.6, 65.77, 71.21, 64.41, 122.47, 77.11, 81.65, 61.69, 
##     79.38, 122.47, 99.79, 131.54, 78.02, 90.72, 106.59, 79.38, 
##     68.04, 65.77, 83.91, 86.18, 90.72, 102.06, 92.99, 104.33, 
##     68.04, 86.18, 113.4, 90.72, 79.38, 68.95, 68.04, 96.62, 70.31, 
##     108.86, 108.86, 70.31, 72.57, 58.97, 106.59, 83.91, 108.86, 
##     77.11, 136.08, 48.99, 71.21, 95.25, 83.91, 72.57, 81.65, 
##     69.85, 108.86, 127.91, 102.97, 65.77, 104.33, 88.45, 83.91, 
##     90.72, 83.91, 88.45, 57.15, 64.41, 52.62, 85.28, 73.48, 68.04, 
##     63.5, 86.18, 127.01, 83.91, 49.9, 69.85, 90.72, 97.52, 77.11, 
##     63.5, 127.01, 63.5, 57.15, 47.63, 68.95, 81.65, 97.52, 108.41, 
##     131.54, 100.7, 63.5, 83.91, 88.45, 88, 79.38, 108.86, 113.4, 
##     63.5, 37.19, 68.04, 81.65, 81.65, 74.84, 84.37, 63.5, 97.52, 
##     164, 89.81, 104.33, 127.01, 113.4, 81.65, 90.72, 99.79, 81.65, 
##     90.72, 86.18, 49.9, 70.31, 105.23, 95.25, 61.23, 99.79, 61.23, 
##     86.18, 63.5, 86.18, 108, 97.52, 67.13, 113.4, 104.33, 122.47, 
##     83.91, 72.57, 65.77, 83.91, 90.72, 52.16, 103.42, 77.11, 
##     78.93, 108.86, 90.72, 88.9, 80.29, 81.65, 113.4, 58.97, 72.57, 
##     75.75, 97.52, 113.4, 48.99, 97.52, 108.86, 72.57, 68.04, 
##     99.79, 83.91, 61.23, 90.72, 63.5, 68.04, 122.47, 68.04, 101.15, 
##     86.18, 81.65, 86.18, 102.06, 83.91, 136.08, 95.25, 65.77, 
##     108.86, 70.31, 136.08, 58.97, 112.94, 68.04, 127.01, 99.79, 
##     72.12, 83.01, 68.95, 63.5, 68.04, 85.28, 113.4, 135.17, 58.97, 
##     81.65, 58.06, 74.84, 90.72, 73.94, 83.91, 87.54, 70.31, 117.93, 
##     113.4, 99.79, 83.46, 74.84, 74.84, 83.91, 95.25, 72.57, 76.2, 
##     83.91, 95.25, 49.9, 111.13, 113.4, 80.74, 97.52, 74.84, 113.4, 
##     68.04, 86.18, 62.14, 81.19, 68.04, 86.18, 68.04, 36.29, 58.97, 
##     86.18, 89.81, 85.28, 70.31, 88.45, 94.35, 99.79, 58.97, 97.52, 
##     74.84, 68.04, 111.13, 61.23, 62.6, 86.18, 83.91, 113.4, 88, 
##     65.77, 54.43, 104.33, 104.33, 81.65, 81.65, 88.45, 68.04, 
##     80.74, 76.66, 92.08, 72.57, 97.52, 90.72, 104.33, 90.72, 
##     128.37, 68.04, 68.04, 79.38, 134.26, 58.97, 69.85, 77.11, 
##     92.99, 99.79, 79.38, 104.33, 74.39, 70.31, 65.77, 65.77, 
##     43.09, 77.11, 68.95, 82.55, 83.91, 81.65, 90.72, 99.79, 63.05, 
##     73.48, 99.79, 83.91, 77.11, 124.28, 90.72, 68.04, 78.02, 
##     68.04, 83.91, 78.93, 72.57, 56.7, 99.79, 127.01, 77.56, 92.99, 
##     54.43, 90.72, 158.76, 55.79, 90.72, 68.04, 99.79, 81.65, 
##     87.09, 93.44, 61.23, 61.23, 93.89, 90.72, 90.72, 77.11, 122.47, 
##     79.38, 99.79, 147.42, 68.04, 63.5, 90.72, 72.57, 81.65, 88.45, 
##     56.7, 63.5, 65.77, 63.5, 170.1, 72.57, 90.72, 58.97, 81.65, 
##     104.33, 70.31, 70.31, 68.04, 90.72, 86.18, 104.33, 87.54, 
##     92.99, 117.93, 77.11, 104.33, 95.25, 89.81, 108.86, 108.86, 
##     120.2, 127.01, 120.2, 108.86, 83.91, 68.04, 77.11, 77.11, 
##     68.04, 79.38, 77.11, 68.04, 81.65, 117.93, 72.57, 72.57, 
##     86.64, 56.7, 90.72, 90.72, 113.4, 77.11, 73.94, 69.4, 88.45, 
##     72.57, 79.38, 76.66, 68.04, 71.67, 74.39, 97.07, 68.04, 63.5, 
##     72.57, 68.04, 58.06, 87.54, 111.13, 82.55, 86.18, 95.25, 
##     63.5, 113.4, 90.72, 83.91, 120.2, 90.72, 81.65, 70.31, 85.28, 
##     117.93, 97.52, 79.83, 124.74, 68.04, 98.88, 72.57, 113.4, 
##     65.77, 62.6, 97.52, 73.94, 86.18, 77.11, 83.91, 79.38, 63.5, 
##     65.77, 106.14, 82.1, 113.4, 97.52, 52.16, 102.06, 77.11, 
##     58.97, 70.31, 63.5, 113.4, 89.36, 106.59, 45.36, 68.04, 58.97, 
##     57.15, 104.33, 56.7, 58.97, 56.7, 56.7, 83.91, 110.68, 52.16, 
##     63.5, 97.52, 96.16, 80.74, 52.16, 61.23, 63.5, 90.72, 72.57, 
##     52.16, 74.84, 99.79, 83.91, 95.25, 72.57, 71.67, 113.4, 66.68, 
##     127.01, 95.25, 97.52, 79.38, 51.26, 58.97, 89.36, 68.04, 
##     63.5, 72.57, 65.77, 106.14, 81.65, 70.31, 88.45, 76.66, 88.45, 
##     104.33, 99.79, 54.43, 90.72, 72, 77.11, 86.18, 77.11, 79.38, 
##     81.65, 81.65, 43.09, 124.74, 72.57, 74.84, 67.13, 78.93, 
##     136.08, 122.47, 68.49, 63.96, 79.38, 45.36, 83.46, 104.33, 
##     61.23, 113.4, 47.63, 90.72, 92.99, 63.5, 83.46, 70.31, 99.79, 
##     54.43, 97.52, 129.73, 93.89, 83.91, 97.52, 82.55, 92.99, 
##     95.25, 66.68, 88, 81.19, 95.71, 54.43, 83.91, 62.6, 122.47, 
##     133.81, 58.97, 108.86, 92.99, 67.13, 63.96, 113.4, 74.84, 
##     57.61, 98.88, 131.09, 83.91, 90.72, 62.6, 53.07, 63.5, 115.67, 
##     113.4, 90.72, 52.16, 81.65, 72.57, 108.86, 49.9, 63.5, 140.61, 
##     77.11, 93.89, 74.84, 64.41, 95.25, 69.4, 90.72, 74.84, 68.04, 
##     122.47, 86.18, 79.38, 93.44, 81.65, 107.95, 61.23, 58.97, 
##     79.38, 58.97, 86.18, 79.38, 81.65, 68.04, 90.72, 95.25, 81.65, 
##     97.52, 63.5, 74.39, 58.97, 90.72, 86.18, 74.84, 72.57, 81.65, 
##     68.04, 68.04, 73.48, 54.43, 127.01, 74.84, 100.24, 104.33, 
##     89.81, 68.04, 70.31, 113.4, 70.31, 89.81, 65.32, 97.52, 79.83, 
##     99.79, 60.78, 55.34, 81.65, 81.65, 81.65, 92.99, 79.38, 56.7, 
##     72.57, 87.54, 61.23, 139.71, 65.77, 95.25, 81.65, 58.97, 
##     65.77, 70.31, 81.65, 81.65, 94.35, 80.29, 61.23, 59.87, 91.63, 
##     51.26, 68.04, 72.57, 95.25, 61.23, 70.31, 61.69, 65.77, 65.77, 
##     81.65, 68.95, 68.04, 90.72, 54.88, 81.65, 74.84, 81.65, 68.04, 
##     90.72, 98.88, 56.7, 68.04, 61.23, 66.22, 113.4, 113.4, 65.77, 
##     86.18, 74.84, 72.57, 126.55, 113.4, 102.06, 97.52, 81.65, 
##     72.57, 99.79, 102.06, 99.79, 60.78, 74.39, 72.57, 81.65, 
##     77.11, 55.34, 74.84, 56.7, 70.31, 99.79, 127.01, 67.59, 68.04, 
##     78.47, 68.04, 90.72, 83.91, 76.2, 86.18, 68.95, 90.72, 86.18, 
##     90.72, 45.36, 56.25, 104.33, 86.18, 86.18, 119.29, 81.65, 
##     108.86, 50.8, 97.07, 72.57, 99.79, 90.72, 58.51, 79.38, 145.15, 
##     104.33, 90.72, 52.16, 61.23, 70.31, 77.11, 81.65, 54.43, 
##     83.91, 58.97, 88.45, 87.54, 66.68, 72.57, 68.04, 83.91, 97.52, 
##     62.14, 90.72, 127.01, 80.74, 99.79, 83.91, 136.08, 54.88, 
##     95.25, 72.57, 149.69, 65.32, 92.99, 99.79, 53.52, 117.93, 
##     97.52, 77.11, 72.57, 63.5, 92.99, 91.63, 94.8, 90.72, 117.93, 
##     61.23, 72.57, 77.11, 58.97, 72.57, 106.59, 61.23, 95.25, 
##     106.59, 77.11, 83.91, 61.23, 95.25, 104.33, 81.65, 54.43, 
##     145.15, 52, 68.04, 81.65, 63.5, 95.25, 102.06, 79.38, 54.43, 
##     49.9, 90.72, 80.74, 94.8, 127.01, 77.11, 56.7, 81.65, 68.95, 
##     124.74, 74.84, 90.72, 90.72, 63.5, 122.47, 154.22, 77.11, 
##     113.4, 95.25, 72.57, 90.72, 74.84, 77.11, 79.38, 78.02, 99.34, 
##     70.31, 63.5, 54.43, 81.65, 83.91, 77.11, 51.71, 141.52, 111.13, 
##     70.31, 56.7, 58.97, 72.57, 70.31, 74.84, 84.82, 72.57, 58.97, 
##     77.11, 92.99, 67.13, 63.96, 77.11, 86.18, 86.18, 66.22, 102.06, 
##     113.85, 86.18, 70.31, 70.76, 92.99, 63.5, 58.97, 43.09, 76.2, 
##     99.79, 81.65, 51.71, 65.77, 61.23, 58.97, 81.65, 56.7, 104.33, 
##     65.77, 117.93, 74.39, 53.52, 86.18, 76.2, 83.91, 58.97, 40.82, 
##     61.23, 65.77, 64.41, 75.75, 68.04, 45.36, 117.93, 63.5, 90.72, 
##     51.71, 82.1, 72.57, 95.25, 91.63, 61.23, 75.75, 131.54, 89.81, 
##     58.97, 72.57, 81.65, 113.4, 54.88, 81.65, 72.57, 124.74, 
##     92.08, 79.38, 77.11, 72.57, 122.47, 62.14, 77.11, 127.01, 
##     40.82, 90.72, 70.31, 56.7, 65.77, 114.31, 81.65, 72.57, 95.71, 
##     117.93, 71.67, 92.08, 81.65, 158.76, 95.25, 81.65, 77.11, 
##     92.99, 62.14, 72.12, 97.52, 90.72, 77.11, 65.77, 69.85, 88.9, 
##     95.25, 52.62, 204.12, 86.18, 97.52, 77.11, 95.25, 79.38, 
##     107.95, 88.45, 74.84, 81.65, 88.45, 128.82, 92.99, 86.18, 
##     70.31, 86.18, 61.23, 92.53, 83.91, 153.77, 63.5, 86.18, 70.31, 
##     99.79, 74.84, 63.5, 58.97, 99.79, 77.11, 83.91, 76.2, 86.18, 
##     57.15, 58, 83.91, 112.04, 88.45, 63.5, 99.79, 97.52, 77.11, 
##     89.81, 108.41, 61.23, 58.06, 52.16, 63.5, 90.72, 63.5, 95.25, 
##     62.14, 79.38, 122.47, 185.97, 77.11, 71.67, 77.11, 83.91, 
##     90.72, 78.02, 90.26, 57.61, 113.4, 58.97, 113.4, 79.38, 52.62, 
##     77.11, 79.38, 90.72, 104.33, 99.79, 108.86, 78.93, 75.3, 
##     90.72, 79.38, 127.01, 68.04, 117.93, 86.18, 58.97, 102.97, 
##     90.26, 74.84, 92.99, 81.65, 79.83, 49.9, 74.39, 97.52, 60.33, 
##     65.77, 65.77, 72.57, 90.72, 83.91, 108.86, 75.75, 98.88, 
##     76.2, 76.2, 124.74, 77.11, 69.85, 68.04, 79.38, 70.76, 80.74, 
##     72.57, 81.65, 63.5, 77.11, 102.06, 77.11, 104.33, 68.04, 
##     77.11, 61.23, 76.2, 108.86, 74.84, 81.65, 124.74, 63.5, 72.57, 
##     96.16, 69.4, 56.7, 89.81, 85.28, 56.7, 86.18, 81.65, 63.5, 
##     81.65, 63.5, 76.2, 79.38, 88.45, 113.4, 89.36, 124.74, 97.52, 
##     120.2, 95.25, 92.99, 61.23, 74.84, 44, 108.86, 55.34, 63.5, 
##     81.65, 90.72, 129.27, 52.62, 68.95, 95.25, 99.79, 97.52, 
##     61.23, 147.42, 90.72, 81.65, 68.04, 58.97, 149.69, 104.33, 
##     72.57, 52.16, 65.32, 88.45, 90.72, 90.72, 65.77, 52.16, 63.5, 
##     112.04, 97.98, 113.4, 90.72, 81.65, 73.48, 92.08, 56.7, 81.65, 
##     78.93, 138.35, 81.65, 76.2, 79.38, 86.18, 82.55, 90.72, 95.25, 
##     88.45, 83.91, 72.57, 56.7, 90.72, 92.99, 81.65, 102.06, 94.8, 
##     84.37, 63.5, 95.25, 90.72, 102.06, 74.39, 92.99, 61.23, 85, 
##     99.79, 90.72, 70.31, 86.18, 81.65, 92.99, 72.57, 87.09, 70.31, 
##     149.69, 95.25, 77.56, 81.65, 96.62, 45.36, 58.97, 56.7, 49.9, 
##     120.2, 64.41, 64.41, 64.86, 120.2, 92.99, 68.04, 116.57, 
##     68.04, 52.16, 72.57, 145.15, 79.38, 95.25, 97.52, 58.06, 
##     72.57, 72, 81.65, 74.84, 77.11, 86.18, 65.32, 61.23, 97.52, 
##     97.52, 149.69, 99.79, 70.31, 99.79, 58.97, 83.91, 74.84, 
##     72.57, 99.79, 90.72, 97.52, 77.11, 79.38, 90.72, 113.4, 104.78, 
##     64.41, 81.65, 72.57, 95.25, 54.43, 73.48, 58.97, 108.86, 
##     79.38, 99.79, 58.97, 99.79, 95.25, 61.23, 51.71, 92.99, 136.08, 
##     81.65, 56.7, 94.35, 63.5, 72.57, 108.86, 81.65, 136.08, 72.57, 
##     51.26, 79.38, 97.98, 90.72, 77.11, 95.25, 113.4, 81.65, 83.91, 
##     117.93, 85.73, 90.72, 92.99, 59.87, 117.93, 97.52, 86.18, 
##     68.04, 90.72, 84.82, 70.31, 122.47, 81.65, 72.57, 65.77, 
##     63.5, 56.7, 117.93, 68.04, 81.65, 105.69, 83.91, 74.84, 70.76, 
##     89.36, 74.84, 147.42, 54.43, 76.2, 136.08, 52.16, 77.11, 
##     53.52, 45.36, 58.97, 88.45, 86.18, 120.2, 68.04, 71.67, 72.57, 
##     68.04, 95.25, 106.59, 106.59, 77.11, 61.23, 68.04, 58.97, 
##     88.45, 92.53, 68.95, 80.29, 90.72, 108.86, 74.84, 105.23, 
##     102.51, 61.23, 36.29, 83.91, 45.36, 77.11, 66.22, 120.2, 
##     63.5, 129.27, 65, 86.18, 49.9, 74.84, 102.06, 72.57, 70.31, 
##     76.66, 88.45, 72.57, 81.65, 61.23, 104.33, 112.49, 74.84, 
##     88.45, 112.49, 68.04, 77.11, 95.25, 90.72, 95.25, 77.11, 
##     72.57, 53.07, 79.38, 71.67, 98.88, 89.81, 122.47, 90.72, 
##     108.86, 117.93, 117.93, 55.79, 69.85, 117.93, 64.86, 63.05, 
##     65.77, 143.34, 113.4, 99.79, 65.77, 138.35, 90.72, 99.79, 
##     68.04, 81.65, 107.95, 78.02, 58.97, 67.13, 102.06, 68.95, 
##     92.99, 90.72, 68.04, 69.85, 53.07, 74.84, 81.65, 86.18, 68.04, 
##     104.33, 92.99, 79.38, 74.84, 77.11, 68.95, 90.72, 74.84, 
##     57.61, 99.34, 97.52, 86.18, 58.97, 140.61, 70.31, 90.26, 
##     127.01, 65.77, 50.8, 168.74, 54.43, 89.81, 64.41, 68.04, 
##     106.59, 136.08, 90.72, 58.97, 163.29, 100.7, 74.84, 65.32, 
##     86.18, 45.36, 55.79, 95.25, 77.11, 58.97, 90.72, 102.06, 
##     90.72, 77.11, 99.79, 111.13, 104.33, 140.61, 92.99, 58.97, 
##     88.9, 62.14, 74.84, 93.89, 54.43, 79.38, 70.31, 86.18, 91.63, 
##     79.38, 58.97, 86.18, 54.43, 87.09, 72.57, 104.33, 74.84, 
##     49.9, 54.43, 65.77, 79.38, 71.21, 108.86, 104.33, 113.4, 
##     72.57, 122.47, 67.13, 68.04, 85.28, 97.52, 68.04, 89.81, 
##     62.6, 121.56, 73.94, 63.5, 56.25, 95.25, 89.81, 72.57, 72.12, 
##     63.5, 61.23, 90.72, 58.97, 108.86, 71.67, 77.11, 90.72, 63.5, 
##     95.25, 58.97, 54.43, 68.04, 72.57, 54.43, 54.43, 78.02, 81.65, 
##     76.2, 95.71, 106.59, 58.97, 76.2, 74.84, 56.7, 71.67, 49.9, 
##     64.41, 68.04, 59.87, 74.84, 68.04, 58.97, 96.16, 72.57, 83.91, 
##     112.94, 136.08, 102.06, 90.72, 99.79, 74.84, 58.97, 54.43, 
##     72.57, 125.19, 54.43, 86.18, 70.31, 86.18, 100.24, 54.43, 
##     63.5, 81.65, 77.11, 67.13, 113.4, 47.63, 56.7, 68.04, 82.55, 
##     137.89, 81.65, 84.37, 83.01, 127.01, 102.06, 74.84, 85.28, 
##     108.86, 97.52, 79.38, 58.97, 52.16, 107.95, 129.27, 65.32, 
##     90.72, 63.5, 104.33, 58.97, 86.18, 59.87, 81.65, 81.65, 99.79, 
##     136.08, 160.12, 54.43, 49.9, 52.62, 64.41, 77.11, 63.05, 
##     92.08, 79.83, 124.74, 121.11, 67.13, 104.33, 83.46, 86.18, 
##     77.11, 63.05, 110.22, 90.72, 56.7, 62.6, 94.35, 86.18, 74.84, 
##     73.94, 88.45, 111.13, 81.65, 52.16, 64.41, 127.01, 73.48, 
##     68.04, 106.59, 54.43, 76.2, 86.18, 72.57, 72.57, 81.65, 92.99, 
##     99.79, 90.72, 66.68, 94.35, 63.5, 68.04, 90.72, 72.57, 95.25, 
##     65.77, 99.79, 53.98, 90.72, 80.74, 104.33, 68.04, 188.24, 
##     61.23, 99.79, 84.82, 106.59, 108.86, 59.87, 79.38, 79.38, 
##     74.84, 54.43, 49.9, 90.72, 78.02, 72.57, 77.11, 48.99, 68.04, 
##     117.93, 158.76, 83.46, 151.95, 68.04, 81.65, 81.65, 77.11, 
##     81.65, 97.52, 90.72, 90.72, 83.91, 79.38, 74.84, 86.18, 64.41, 
##     72.57, 74.84, 102.97, 117.93, 81.65, 111.13, 56.7, 73.94, 
##     90.72, 81.65, 111.13, 52.16, 63.5, 65.77, 65.77, 124.74, 
##     74.84, 63.5, 99.79, 81.65, 74.84, 115.67, 126.1, 68.04, 43.54, 
##     108.86, 71.67, 68.04, 131.54, 77.11, 53.52, 108.86, 63.5, 
##     83.01, 86.18, 74.84, 81.65, 127.01, 58.97, 58.51, 83.91, 
##     54.43, 72.57, 97.52, 113.4, 81.65, 131.54, 81.65, 70.31, 
##     108.86, 63.5, 81.65, 127.01, 61.23, 68.04, 80.74, 82.55, 
##     96.16, 90.72, 74.84, 61.69, 65.77, 77.11, 117.93, 104.33, 
##     111.13, 56.7, 83.91, 88.9, 68.04, 127.01, 88, 73.03, 99.79, 
##     83.91, 45.36, 63.5, 80, 58.97, 97.52, 68.04, 99.79, 104.33, 
##     62.14, 90.72, 113.4, 61.23, 90.72, 81.65, 87.09, 108.86, 
##     53.52, 88.45, 63.5, 97.52, 86.18, 90.72, 83.91, 107.5, 43.09, 
##     72.57, 79.38, 127.01, 92.99, 117.93, 56.7, 92.99, 89.36, 
##     117.93, 86.18, 66.22, 117.93, 71.67, 113.4, 64.86, 71.67, 
##     77.11, 81.65, 117.93, 68.04, 110.22, 73.48, 86.18, 58.97, 
##     56.7, 74.84, 140.61, 70.31, 88.9, 72.57, 86.18, 102.06, 86.18, 
##     68.04, 55.34, 68.04, 127.01, 90.72, 86.18, 67.13, 87.54, 
##     69.85, 61.23, 88.45, 86.18, 72.57, 72.57, 70.76, 83.91, 68.04, 
##     63.5, 61.23, 99.79, 72.57, 75.3, 86.18, 88.45, 58.97, 101.15, 
##     90.72, 81.65, 55.79, 45.36, 78.02, 62.6, 170.1, 92.99, 81.65, 
##     113.4, 56.7, 62.6, 90.72, 95.25, 92.99, 58.97, 79.38, 82.55, 
##     80.29, 99.79, 78.02, 122.47, 98.88, 90.72, 47.63, 181.44, 
##     132.9, 81.65, 65.77, 74.84, 77.11, 78.02, 68.95, 79.83, 58.97, 
##     85.73, 54.43, 63.5, 180.53, 117.93, 115.67, 90.72, 72.57, 
##     76.2, 81.65, 96.62, 106.59, 68.04, 77.11, 95.25, 90.72, 52.16, 
##     104.33, 74.84, 90.72, 93.44, 90.72, 55.34, 64.41, 62.6, 68.04, 
##     59.87, 86.18, 90.72, 113.4, 90.72, 122.47, 79.38, 53.52, 
##     72.57, 90.72, 58.97, 72.57, 95.25, 74.84, 79.38, 115.67, 
##     79.38, 63.5, 99.79, 63.5, 77.11, 81.65, 63.5, 105.23, 90.72, 
##     66.68, 136.08, 81.65, 65.32, 95.25, 76.2, 83.91, 74.84, 54.43, 
##     77.11, 69.85, 74.84, 131.54, 70.31, 54.43, 80, 83.91, 99.79, 
##     113.4, 63.5, 60.33, 124.74, 79.38, 79.38, 92.99, 101.15, 
##     56.7, 106.59, 90.72, 64.86, 95.25, 81.65, 52.16, 67.59, 56.7, 
##     122.47, 99.79, 81.65, 145.15, 63.5, 111.13, 81.65, 68.04, 
##     117.93, 75.75, 65.77, 115.67, 60.33, 57.61, 113.4, 72.57, 
##     89.81, 89.81, 102.06, 72.57, 64.41, 61.23, 70.76, 52.16, 
##     113.4, 95.25, 72.57, 99.79, 83.91, 136.08, 58.06, 86.64, 
##     62.6, 90.72, 68.04, 58.97, 94.8, 72.57, 95.25, 86.18, 108.86, 
##     49.9, 61.23, 91.63, 90.72, 87.09, 117.93, 47.63, 109.77, 
##     82.55, 67.13, 54.88, 74.84, 90.72, 70.31, 113.4, 95.25, 81.65, 
##     71, 104.33, 83.91, 108.41, 99.79, 99.79, 61.23, 127.01, 77.11, 
##     79.38, 111.58, 93.89, 90.72, 58.97, 109.77, 99.79, 50.35, 
##     106.59, 86.18, 73.48, 72.57, 63.96, 131.54, 90.72, 77.11, 
##     108.86, 117.93, 77.11, 84.37, 106.59, 56.25, 81.65, 74.84, 
##     95.25, 82.1, 60.78, 49.9, 97.52, 97.52, 66.68, 81.65, 149.69, 
##     108.86, 86.18, 86.18, 73.94, 122.47, 81.65, 99.79, 83.91, 
##     113.4, 45.36, 58.51, 99.79, 90.72, 90.72, 131.54, 108.86, 
##     61.23, 77.11, 79.38, 106.59, 113.4, 86.18, 90.72, 88.45, 
##     72.57, 81.65, 63.5, 63.5, 122.47, 70.31, 58.97, 77.11, 86.18, 
##     95.25, 92.99, 64.41, 90.72, 99.79, 147.42, 72.57, 86.18, 
##     104.33, 63.96, 52.16, 63.5, 68.04, 47.63, 126.1, 80.74, 97.52, 
##     52.62, 99.79, 88.45, 81.65, 54.43, 56.25, 90.72, 68.95, 86.18, 
##     95.25, 104.33, 158.76, 133.81, 73.03, 95.25, 74.84, 72.57, 
##     58.97, 113.4, 131.54, 72.57, 70.31, 64.86, 108.86, 65.77, 
##     74.84, 74.84, 40.82, 129.27, 72.57, 108.86, 77.11, 68.04, 
##     73.48, 130.18, 79.38, 74.84, 76.2, 83.91, 63.5, 81.65, 95.25, 
##     79.38, 103.42, 99.79, 108.86, 113.4, 62.6, 81.65, 85.73, 
##     106.59, 77.11, 52.16, 63.5, 93.89, 72.57, 81.65, 90.72, 69.4, 
##     79.38, 97.52, 113.4, 108.86, 72.57, 86.18, 147.42, 66.22, 
##     79.38, 104.33, 86.18, 95.25, 104.33, 113.4, 72.57, 90.72, 
##     61.23, 107.05, 88.45, 90.72, 93.89, 104.33, 70.31, 84.37, 
##     81.65, 68.95, 86.18, 86.18, 92.08, 72.57, 68.04, 88.45, 86.18, 
##     86.18, 88.45, 97.52, 106.59, 77.11, 79.83, 112.94, 84.82, 
##     79.38, 75.75, 108.86, 65.77, 72.57, 49.9, 90.72, 92.99, 83.91, 
##     70.31, 108.86, 83.91, 113.4, 83.91, 76.66, 65.77, 99.79, 
##     77.11, 86.18, 90.72, 87.09, 76.2, 124.28, 68.04, 77.11, 89.81, 
##     72.57, 88.45, 95.25, 90.72, 102.06, 117.93, 90.72, 83.91, 
##     79.38, 44, 63.5, 81.65, 68.04, 113.4, 90.72, 65.77, 63.5, 
##     115.67, 88.9, 72.57, 92.99, 68.04, 63.5, 72.57, 80.29, 90.72, 
##     63.5, 64.86, 66.68, 75.3, 72.57, 87.54, 52.16, 86.18, 54.43, 
##     77.11, 107.5, 80.74, 56.7, 104.33, 72.57, 72.57, 81.65, 63.5, 
##     74.39, 70.31, 68.04, 105.69, 88.45, 136.08, 117.93, 86.18, 
##     104.33, 56.25, 99.79, 81.65, 83.01, 81.65, 68.04, 67.13, 
##     83.91, 62.6, 68.04, 63.5, 81.65, 104.33, 104.33, 81.65, 61.23, 
##     98.43, 99.79, 104.33, 90.72, 68.04, 65.77, 95.25, 78.47, 
##     72.57, 90.72, 97.07, 129.27, 83.91, 79.38, 90.72, 113.4, 
##     120.2, 82.1, 78.02, 113.4, 97.52, 77.11, 82.55, 72.57, 138.35, 
##     89.81, 68.95, 117.93, 68.04, 72.57, 65.77, 104.33, 70.31, 
##     79.38, 60.33, 99.79, 82.55, 62.14, 88.45, 56.7, 72.57, 90.72, 
##     68.04, 83.91, 77.11, 81.65, 79.38, 89.81, 81.65, 61.23, 70.31, 
##     58.97, 77.11, 64.86, 67.13, 58.97, 98.88, 99.79, 90.72, 91.63, 
##     56.7, 58.97, 61.23, 88.9, 88.9, 81.65, 151.95, 58.51, 58.97, 
##     104.33, 78.02, 101.15, 56.7, 68.04, 104.33, 90.72, 45.36, 
##     102.06, 92.08, 72.57, 68.04, 71.67, 68.95, 72.57, 54.43, 
##     83.91, 90.72, 58.97, 90.72, 58.97, 72.57, 72.57, 90.72, 104.33, 
##     79.38, 95.25, 83.91, 136.08, 65.77, 47.63, 104.33, 124.74, 
##     95.25, 81.65, 74.84, 65.77, 90.26, 79.83, 74.84, 72.12, 81.65, 
##     77.11, 51.71, 68.04, 80, 77.11, 49.9, 77.56, 99.79, 67.13, 
##     70.31, 45, 65.77, 86.18, 106.59, 97.52, 72.57, 68.04, 74.84, 
##     63.5, 86.18, 72.57, 77.11, 86.18, 83.91, 62.6, 71.67, 61.23, 
##     72.57, 77.11, 65.77, 78.47, 108.86, 82.55, 111.13, 79.83, 
##     113.4, 86.18, 72.57, 124.74, 54.88, 70.31, 68.04, 90.72, 
##     108.86, 68.04, 79.38, 71.67, 99.79, 56.7, 81.65, 116.57, 
##     74.84, 54.43, 109.32, 54.43, 70.31, 90.72, 104.33, 74.84, 
##     70.31, 78.93, 83.91, 83.91, 54.43, 68.04, 99.79, 83.46, 104.33, 
##     86.18, 118.84, 83.91, 86.18, 67.59, 70.31, 68.04, 90.72, 
##     77.11, 83.91, 72.57, 58.06, 93.89, 64.86, 90.72, 102.51, 
##     81.65, 68.04, 95.25, 59.42, 74.84, 58.97, 87.09, 65.77, 66.68, 
##     79.38, 99.79, 81.65, 56.7, 90.72, 98.43, 63.5, 81.19, 71.67, 
##     49.9, 81.65, 99.79, 58.97, 90.72, 63.96, 74.84, 81.65, 79.38, 
##     181.44, 77.11, 56.7, 81.65, 58.97, 72.57, 41.28, 58.97, 77.11, 
##     46.27, 65.77, 63.5, 69.4, 108.86, 79.38, 82.1, 77.11, 68.04, 
##     120.2, 72.57, 61.23, 68.04, 99.79, 68.04, 95.25, 113.4, 95.25, 
##     58.97, 86.18, 90.72, 88.45, 81.65, 107.95, 79.38, 91.63, 
##     56.7, 71.67, 68.04, 58.97, 95.25, 158.76, 58.97, 68.04, 133.81, 
##     108.86, 74.84, 102.06, 77.11, 95.25, 73.48, 99.79, 68.04, 
##     58.97, 56.7, 86.18, 68.04, 56.7, 52.16, 54.43, 74.84, 65.77, 
##     70.31, 79.38, 81.65, 99.79, 61.23, 79.38, 74.84, 86.18, 108.86, 
##     65.77, 58.97, 54.43, 74.84, 64.86, 117.03, 136.08, 81.65, 
##     124.74, 82.1, 70.76, 58.97, 92.99, 102.06, 106.59, 82.1, 
##     83.91, 74.84, 102.06, 58.51, 61.23, 108.86, 68.04, 91.63, 
##     99.79, 81.65, 83.91, 74.84, 81.65, 61.23, 77.11, 75.75, 99.79, 
##     106.59, 103.87, 56.7, 73.48, 102.06, 83.91, 72.57, 85.73, 
##     70.76, 77.11, 84.82, 92.99, 85.73, 70.31, 68.04, 63.5, 58.97, 
##     56.7, 61.23, 52.16, 55.34, 154.22, 136.08, 56.7, 72.57, 77.11, 
##     81.65, 95.25, 92.99, 118.84, 81.65, 56.7, 107.95, 86.18, 
##     58.97, 48.99, 149.69, 80.29, 74.84, 100.7, 61.23, 138.35, 
##     63.5, 83.91, 77.11, 81.65, 74.84, 65.77, 113.4, 54.43, 65.77, 
##     167.83, 63.5, 68.04, 52.16, 78.93, 74.84, 98.43, 54.43, 85.73, 
##     77.11, 54.43, 99.79, 81.65, 68.04, 99.79, 104.33, 117.93, 
##     59.87, 104.33, 61.23, 90.72, 72.57, 87.54, 65.77, 90.72, 
##     113.4, 64.41, 73.48, 44.45, 106.59, 79.38, 52.16, 81.65, 
##     73.03, 52.16, 79.38, 113.4, 58.97, 106.59, 72.57, 115.67, 
##     61.23, 101.6, 83.91, 81.65, 204.12, 53.98, 80.74, 58.06, 
##     63.5, 56.7, 90.72, 90.72, 95.25, 92.99, 58.97, 77.11, 99.79, 
##     58.97, 81.65, 120.2, 117.93, 90.72, 77.11, 46.27, 99.79, 
##     68.04, 104.33, 88.45, 90.72, 108.86, 58.97, 106.59, 83.91, 
##     86.18, 89.36, 81.65, 54.43, 95.25, 83.91, 63.5, 108.86, 88.45, 
##     86.18, 70.31, 58.97, 88.45, 81.65, 115.67, 58.97, 57.15, 
##     99.79, 111.13, 127.01, 72.57, 91.17, 83.91, 81.65, 90.72, 
##     70.31, 68.04, 58.06, 65.77, 72.57, 58.97, 74.39, 68.04, 81.65, 
##     84.37, 86.18, 90.72, 72.57, 58.97, 63.5, 115.67, 60.78, 72.57, 
##     72.57, 69.85, 74.84, 131.54, 97.52, 61.23, 81.65, 70.31, 
##     87.09, 104.33, 74.84, 81.65, 73.48, 45.81, 124.74, 54.43, 
##     67.13, 86.18, 79.83, 97.52, 90.72, 46.27, 72.57, 106.59, 
##     117.93, 86.18, 97.52, 72.57, 54.43, 68.04, 95.25, 83.91, 
##     72.57, 58.97, 81.65, 61.23, 95.25, 58.97, 63.5, 54.43, 90.72, 
##     69.85, 104.33, 120.2, 102.06, 81.65, 122.47, 69.85, 90.72, 
##     90.72, 58.97, 72.57, 70.31, 83.91, 81.65, 76.2, 58.97, 111.58, 
##     90.72, 117.93, 53.98, 92.99, 95.25, 63.5, 113.4, 95.25, 65.77, 
##     70.31, 104.33, 55.79, 122.47, 99.79, 90.72, 68.04, 114.76, 
##     92.99, 92.99, 106.59, 102.51, 85.28, 81.65, 81.19, 72.57, 
##     72.57, 106.59, 74.84, 68.04, 83.91, 79.38, 83.91, 104.33, 
##     86.18, 71.67, 64.86, 104.78, 99.79, 90.72, 79.38, 74.84, 
##     123.38, 113.4, 56.7, 72.57, 90.72, 95.25, 70.31, 106.59, 
##     113.4, 79.38, 88.45, 56.7, 124.74, 68.04, 81.65, 76.2, 61.23, 
##     103.87, 90.72, 92.99, 88.45, 76.2, 88.45, 88.45, 107.95, 
##     90.26, 108.86, 65.77, 92.99, 65.77, 78.93, 92.99, 95.25, 
##     72.12, 77.11, 127.01, 90.72, 81.65, 78.02, 61.23, 127.01, 
##     81.65, 88.9, 88.9, 68.04, 68.04, 78.02, 104.33, 56.7, 86.18, 
##     88.45, 89.81, 65.77, 81.65, 90.72, 45.36, 79.38, 56.25, 73.94, 
##     86.18, 113.4, 77.56, 102.06, 72.57, 104.33, 49.9, 49.9, 119.75, 
##     72.57, 92.99, 74.84, 71.21, 74.84, 108.86, 76.2, 77.11, 73.03, 
##     70.31, 86.18, 104.33, 72.57, 83.91, 86.18, 99.79, 70.31, 
##     87.09, 87.54, 100.24, 72.12, 68.04, 77.11, 72.57, 90.72, 
##     80.74, 72.57, 108.41, 86.18, 99.79, 63.5, 77.11, 165.56, 
##     86.18, 53.98, 105.23, 83.91, 86.18, 86.18, 113.4, 88.45, 
##     77.11, 170.1, 98.88, 63.5, 95.25, 90.72, 58.97, 88.45, 104.33, 
##     87.09, 117.93, 83.91, 73.03, 47.63, 81.65, 81.65, 72.57, 
##     83.91, 74.84, 122.47, 83.46, 82.55, 48.08, 63.5, 58.97, 56.7, 
##     54.88, 116.57, 87.09, 53.07, 101.15, 63.5, 60.33, 81.19, 
##     84.37, 81.65, 63.5, 104.33, 108.86, 62.14, 78.47, 81.65, 
##     79.83, 81.65, 88.45, 73.48, 89.81, 102.06, 56.25, 83.91, 
##     87.09, 58.97, 90.72, 81.65, 51.26, 83.91, 79.83, 83.91, 58.97, 
##     104.33, 77.11, 86.18, 79.38, 90.72, 82.55, 83.91, 68.04, 
##     87.54, 58.97, 61.23, 88.45, 64.41, 79.38, 79.38, 63.5, 90.72, 
##     104.33, 63.5, 88.45, 80.74, 90.72, 108.86, 86.18, 108.86, 
##     63.5, 74.84, 77.11, 90.72, 81.65, 68.04, 99.34, 45.81, 74.84, 
##     91.17, 99.79, 72.57, 112.04, 92.99, 65.77, 92.99, 67.13, 
##     88.45, 113.4, 86.18, 58.97, 100.24, 72.57, 163.29, 80.29, 
##     70.31, 77.11, 72.57, 140.61, 117.93, 77.11, 61.23, 90.72, 
##     86.18, 63.5, 90.72, 68.04, 77.11, 77.11, 65.77, 81.65, 78.47, 
##     78.93, 70.31, 61.23, 102.06, 73.48, 90.72, 82.55, 72.57, 
##     97.52, 63.5, 76, 58.97, 60.78, 70.31, 81.65, 86.18, 81.65, 
##     68.04, 77.11, 65.77, 90.72, 97.52, 108.86, 70.31, 65.32, 
##     81.65, 83.46, 68.49, 81.65, 68.04, 81.65, 70.31, 120.2, 106.59, 
##     69.85, 91.17, 73.48, 63.5, 90.72, 81.65, 85.28, 136.08, 77.11, 
##     92.99, 90.72, 65.77, 91.63, 56.7, 95.25, 54.43, 95.25, 77.11, 
##     74.84, 126.1, 67.59, 77.11, 72.57, 78.02, 78.47, 77.11, 68.04, 
##     120.66, 68.04, 54.43, 61.23, 104.33, 78.02, 58.97, 77.11, 
##     71.67, 97.52, 90.72, 64.41, 65.77, 99.79, 91.17, 74.84, 86.18, 
##     99.79, 83.91, 68.04, 88.9, 99.79, 63.5, 122.47, 113.4, 106.14, 
##     58.97, 86.18, 95.25, 77.11, 107.95, 90.72, 111.13, 120.2, 
##     71.21, 119.29, 75.75, 44, 61.23, 68.04, 97.52, 101.6, 117.93, 
##     88.45, 81.65, 96.16, 74.39, 104.33, 91.63, 92.99, 83.91, 
##     88.45, 86.18, 112.49, 61.23, 89.81, 99.79, 73.03, 74.84, 
##     68.04, 69.85, 97.52, 74.84, 92.53, 81.65, 104.33, 61.23, 
##     104.33, 90.72, 64.41, 53.07, 81.65, 88.45, 79.38, 80.74, 
##     121.56, 68.04, 100.24, 123.38, 77.11, 102.06, 72.57, 99.79, 
##     93.89, 81.65, 65.77, 52.16, 104.33, 90.72, 79.38, 58.97, 
##     127.01, 73.48, 58.97, 102.97, 68.95, 88.45, 64.41, 83.91, 
##     106.59, 63.5, 86.18, 87.09, 86.18, 82.55, 70.31, 63.5, 109.77, 
##     68.95, 57.61, 99.34, 82.55, 58.97, 104.33, 90.72, 92.53, 
##     77.11, 72.57, 86.18, 82.55, 61.23, 68.04, 99.79, 122.47, 
##     65.77, 102.06, 77.11, 88.45, 108.86, 158.76, 97.98, 112.49, 
##     113.4, 88.45, 75.3, 82.55, 79.38, 88.45, 127.01, 62.14, 90.72, 
##     92.99, 80.74, 79.83, 49.9, 72.57, 68.04, 116.12, 90.72, 92.99, 
##     76.66, 102.06, 122.47, 61.69, 61.23, 83.91, 83.91, 106.59, 
##     70.31, 121.11, 77.11, 54.43, 119.29, 54.43, 97.07, 102.06, 
##     60.78, 58.97, 90.72, 79.38, 90.72, 68.95, 72.57, 63.5, 56.7, 
##     112.04, 71.67, 89.81, 80.74, 115.21, 86.64, 90.72, 86.64, 
##     79.38, 79.83, 95.25, 49.9, 98.43, 97.52, 131.54, 50.8, 83.91, 
##     58.97, 108.86, 77.11, 61.23, 90.72, 65.77, 70.31, 65.77, 
##     89.36, 90.72, 84.37, 83.91, 86.18, 61.23, 81.65, 95.25, 111.13, 
##     86.18, 77.11, 48.99, 83.91, 104.33, 68.04, 97.52, 89.36, 
##     71.21, 90.72, 95.25, 88.45, 90.72, 90.72, 90.72, 72.57, 81.65, 
##     95.25, 81.65, 85.28, 75.3, 64.41, 108.86, 68.04, 83.46, 90.26, 
##     70.76, 97.52, 70.31, 97.52, 63.5, 108.86, 74.84, 49.44, 90.72, 
##     72.57, 80.29, 154.22, 95.25, 81.65, 112.94, 108.86, 72.57, 
##     77.11, 69.85, 71.67, 71.67, 154.22, 104.33, 72.57, 74.39, 
##     97.52, 79.38, 93.44, 100.24, 104.33, 100.24, 77.11, 76.2, 
##     86.18, 89.81, 65.77, 84.82, 88, 85.73, 88.45, 113.4, 82.1, 
##     71.21, 92.99, 77.11, 58.97, 95.71, 88.45, 112.49, 76.2, 56.7, 
##     83.46, 106.59, 95.25, 101.6, 97.52, 90.72, 95.25, 72.57, 
##     83.91, 62.6, 104.33, 69.4, 64.86, 79.38, 117.03, 83.46, 106.59, 
##     83.91, 93.44, 88.45, 79.38, 104.33, 79.83, 104.33, 100.7, 
##     92.99, 97.07, 183.7, 56.7, 67.13, 83.91, 59.42, 72.57, 71.21, 
##     81.65, 124.74, 95.25, 154.22, 102.06, 61.23, 85.73, 65.77, 
##     79.38, 61.23, 74.84, 77.11, 96.16, 79.38, 68.95, 61.23, 86.18, 
##     71.67, 81.65, 83.01, 81.65, 99.79, 68.95, 59.87, 68.04, 104.33, 
##     112.04, 102.06, 102.06, 111.58, 93, 56.7, 83.46, 67.59, 84.82, 
##     88.45, 136.08, 127.46, 112.49, 111.13, 86.18, 85.73, 117.93, 
##     58.97, 114.76, 65.77, 82.55, 83.91, 90.72, 80.74, 97.52, 
##     99.79, 73.03, 90.72, 87.09, 104.33, 127.01, 50.8, 95.25, 
##     59.87, 115.21, 80.29, 90.72, 108.86, 83.91, 95.25, 55.34, 
##     90.72, 90.72, 83.91, 63.5, 154.22, 61.23, 90.72, 99.79, 104.33, 
##     73.48, 58.97, 102.06, 73.94, 113.4, 61.23, 68.04, 90.72, 
##     111.13, 84, 54.43, 57.61, 86.18, 163.29, 102.06, 90.72, 88.45, 
##     90.72, 77.11, 106.59, 102.06, 83.91, 101.6, 149.69, 90.26, 
##     74.84, 72.57, 70.31, 84.82, 90.72, 58.97, 108.86, 68.04, 
##     79.38, 106.59, 63.5, 63.96, 61.23, 74.84, 72.57, 94.8, 63.5, 
##     117.93, 117.93, 102.06, 81.65, 91.63, 117.93, 99.79, 63.5, 
##     113.4, 71.67, 115.67, 56.25, 63.5, 117.93, 96.62, 99.79, 
##     74.84, 97.52, 81.65, 108.86, 77.11, 70.31, 90.72, 117.03, 
##     70.31, 77.11, 75.75, 69.4, 54.43, 95.25, 77.11, 95.25, 71.67, 
##     129.27, 88, 59.87, 85.28, 86.18, 90.72, 81.65, 78.93, 84.82, 
##     73.48, 92.08, 138.35, 99.79, 58.06, 70, 113.85, 63.5, 63.5, 
##     50.8, 125.19, 88.45, 138.35, 90.72, 76.66, 111.13, 99.79, 
##     40.82, 56.25, 126.1, 104.33, 88.45, 70.76, 66.22, 124.74, 
##     74.84, 106.59, 56.25, 108.86, 86.18, 106.14, 56.25, 90.72, 
##     97.52, 95.25, 59.87, 122.47, 68.04, 82.55, 59.87, 106.59, 
##     101.6, 74.84, 54.43, 81.65, 89.36, 89.81, 63.5, 85.73, 70.31, 
##     104.33, 99.79, 57.15, 91.63, 92.99, 164.2, 54.43, 99.79, 
##     131.54, 120.66, 90.72, 86.18, 107.05, 104.33, 79.38, 79.38, 
##     86.18, 77.11, 108.86, 83.91, 83.91, 104.33, 73.48, 74.84, 
##     78.02, 116.12, 88, 106.59, 136.08, 90.72, 81.65, 66.68, 63.5, 
##     66.22, 82.55, 84.82, 79.38, 62.6, 86.64, 85.73, 90.72, 131.54, 
##     51.26, 104.33, 99.34, 81.65, 123.38, 72.57, 108.86, 145.15, 
##     98.88, 45.36, 58.51, 148.78, 63.5, 117.93, 49.44, 102.06, 
##     90.72, 53.52, 104.33, 68.04, 72.57, 136.08, 74.84, 63.5, 
##     72.57, 90.72, 100.24, 78.02, 111.13, 85.28, 46.27, 77.11, 
##     104.33, 99.34, 77.11, 101.15, 92.99, 90.72, 124.74, 77.11, 
##     85.28, 113.4, 71.21, 77.11, 115.67, 58.97, 58.06, 113.4, 
##     107.95, 55.34, 78.47, 88.45, 54.43, 81.65, 81.65, 65.77, 
##     83.46, 68.04, 95.25, 95.25, 60.33, 63.5, 73.48, 90.72, 68.04, 
##     79.38, 99.79, 77.11, 77.11, 94.8, 58.97, 90.72, 68.04, 65.77, 
##     96.62, 81.65, 95.25, 92.99, 89.36, 86.18, 61.69, 95.25, 79.38, 
##     97.98, 117.93, 97.52, 77.11, 47.63, 49.9, 71.67, 77.11, 83.91, 
##     77.11, 116.57, 72.57, 48.08, 97.52, 72.57, 106.14, 195.04, 
##     135.62, 104.33, 81.65, 121.56, 78.93, 86.18, 108.86, 73.48, 
##     99.79, 70.31, 93.89, 140.61, 78.02, 115.67, 90.72, 105.23, 
##     77.11, 68.95, 54.43, 79.38, 134.26, 91.63, 80, 64.41, 87.54, 
##     136.08, 72.57, 83.91, 133.81, 77.56, 97.52, 78.47, 136.08, 
##     119.75, 106.14, 90.72, 90.72, 83.91, 127.01, 131.54, 92.99, 
##     76.2, 72.57, 87.54, 81.65, 79.38, 177.81, 67.59, 95.25, 52.16, 
##     81.65, 86.18, 61.23, 65.77, 99.79, 90.72, 108.86, 117.93, 
##     97.52, 106.59, 63.5, 91.17, 70.31, 85.73, 74.84, 74.84, 99.79, 
##     108.86, 90.72, 79.38, 92.53, 68.04, 68.04, 78.93, 90.72, 
##     76.2, 113.4, 77.11, 84.37, 74.84, 117.03, 106.59, 143.79, 
##     86.18, 58.97, 86.18, 104.33, 75.75, 77.56, 77.11, 75.3, 67.59, 
##     79.38, 77.56, 108.86, 82.55, 57.61, 99.79, 107.5, 99.79, 
##     95.25, 78.02, 99.79, 83.91, 89.36, 81.65, 99.79, 72.12, 81.65, 
##     104.33, 68.49, 81.65, 117.93, 56.7, 97.07, 92.99, 133.81, 
##     68.04, 122.47, 64.41, 56.7, 89.81, 104.33, 99.79, 95.25, 
##     72.57, 102.06, 120.2, 49.9, 87.54, 53.52, 92.99, 113.4, 54.43, 
##     104.33, 89.81, 65.77, 65.77, 79.38, 83.91, 107.05, 84.37, 
##     104.33, 55.34, 99.79, 125.19, 99.79, 58.06, 90.72, 88, 115.67, 
##     87.54, 47.63, 86.18, 93, 89.81, 95.25, 155.13, 79.38, 68.04, 
##     59.87, 74.84, 81.19, 135.17, 108.86, 43.09, 89.36, 81.65, 
##     90.72, 74.84, 73.03, 48.08, 97.52, 82.1, 67.59, 108.86, 86.18, 
##     113.4, 138.35, 63.5, 106.59, 74.84, 54.43, 57.61, 77.11, 
##     99.79, 54.43, 95.25, 127.01, 63.05, 68.04, 95.25, 64.86, 
##     90.72, 72.57, 136.98, 99.79, 81.65, 83.91, 71.67, 136.08, 
##     83.91, 103.42, 99.79, 122.47, 79.38, 72.57, 78.47, 104.33, 
##     82, 72.57, 73.94, 113.4, 49.9, 75.3, 76.2, 104.33, 69.4, 
##     62.6, 65.77, 77.11, 112.04, 111.13, 82.55, 74.84, 73.03, 
##     79.38, 122.47, 90.26, 58.97, 120.2, 141.07, 82.55, 163.29, 
##     99.79, 86.18, 86.18, 78.02, 142.88, 83.91, 84.82, 90.72, 
##     83.91, 113.4, 99.79, 67.13, 75.3, 104.33, 46.72, 72.12, 67.13, 
##     98.88, 90.72, 67.59, 126.1, 88.45, 58.97, 90.72, 77.11, 93.89, 
##     63.5, 68.95, 75.75, 106.14, 145.15, 96.16, 102.06, 117.93, 
##     83.91, 122.47, 60.33, 95.71, 117.93, 108.86, 99.79, 85.73, 
##     122.02, 63.5, 90.72, 77.11, 90.26, 116.57, 92.53, 109.77, 
##     90.72, 106.59, 81.65, 111.58, 111.58, 88.45, 63.5, 113.4, 
##     67.13, 68.04, 61.23, 63.5, 63.5, 83.91, 74.84, 99.79, 88.45, 
##     54.43, 102.06, 79.38, 65.77, 97.52, 86.18, 108.86, 79.38, 
##     86.18, 86.18, 113.4, 108.86, 77.11, 113.4, 148.32, 102.06, 
##     86.18, 88.45, 117.93, 113.4, 52.16, 47.63, 90.72, 57.61, 
##     102.06, 87.54, 67.59, 143.34, 85.28, 100.7, 87.54, 90.72, 
##     90.72, 82.55, 74.39, 37.65, 54.43, 147.42, 76.66, 106.59, 
##     61.23, 74.84, 72.57, 80.74, 70.31, 106.59, 78.47, 81.65, 
##     76.66, 58.97, 117.93, 68.04, 98.88, 51.71, 108.41, 58.97, 
##     62.14, 81.65, 102.06, 74.84, 83.91, 79.38, 74.84, 95.25, 
##     88.9, 65.77, 104.33, 56.7, 110.22, 47.63, 54.43, 58.06, 90.72, 
##     184.16, 75.75, 65.77, 88, 84.82, 74.39, 113.4, 81.65, 90.72, 
##     120.2, 79.38, 77.11, 86.18, 77.11, 58.97, 131.54, 136.98, 
##     58.97, 145.15, 63.5, 68.04, 90.72, 89.81, 68.04, 170.1, 104.33, 
##     99.79, 72.57, 61.23, 104.33, 105.23, 88.45, 115.21, 147.42, 
##     144.24, 99.79, 92.99, 79.38, 77.11, 77.11, 75.75, 65.77, 
##     78.47, 65.77, 117.93, 70.31, 90.72, 72.57, 103.42, 86.18, 
##     43.09, 50.8, 81.65, 90.72, 88.45, 59.87, 70.31, 63.5, 81.65, 
##     89.81, 66.22, 90.72, 68.04, 71.67, 113.4, 79.38, 43.54, 81.65, 
##     92.99, 70.31, 79.38, 99.79, 68.04, 89.81, 79.38, 90.72, 86.18, 
##     58.97, 95.25, 68.95, 68.04, 93.44, 63.5, 108.86, 127.46, 
##     72.12, 87.54, 90.72, 108.86, 65.77, 99.79, 68.04, 61.23, 
##     58.97, 90.72, 79.38, 98.88, 114.31, 63.5, 104.33, 92.53, 
##     98.43, 113.4, 70.31, 81.65, 95.25, 67.13, 65.77, 88.45, 80.29, 
##     85.28, 99.79, 68.95, 74.39, 113.4, 72.57, 58.97, 86.18, 77.11, 
##     122.47, 97.07, 96.62, 67.59, 111.13, 83.91, 105.23, 72.57, 
##     95.25, 70.31, 99.79, 106.59, 65, 117.03, 115.67, 74.84, 114.76, 
##     94.35, 61.23, 93.44, 90.72, 72.57, 136.08, 65.77, 77.11, 
##     117.93, 57.61, 72.57, 50.8, 66.68, 145.15, 63.5, 83.91, 63.5, 
##     63.05, 88.45, 68.04, 79.38, 104.33, 81.65, 60.78, 58.97, 
##     76.2, 81.65, 81.65, 77.11, 83.91, 104.33, 93.89, 62.6, 90.72, 
##     83.91, 96.16, 88.45, 90.26, 83.91, 92.99, 114.31, 102.06, 
##     92.99, 68.95, 63.5, 83.46, 91.17, 88.45, 77.11, 99.79, 81.65, 
##     72.57, 77.56, 67.59, 92.99, 79.38, 74.84, 72.57, 65.32, 88.9, 
##     102.06, 81.65, 79.83, 98.43, 55.79, 74.84, 122.47, 101.6, 
##     97.52, 106.14, 83.91, 64.41, 104.33, 104.33, 112.49, 68.04, 
##     68.04, 131.54, 68.04, 92.99, 72.57, 118.39, 65.77, 85.73, 
##     84.37, 58.06, 75.3, 117.93, 88.45, 64.41, 88.45, 77.11, 75.75, 
##     127.91, 102.06, 108.86, 121.11, 70.31, 58.97, 70.31, 109.77, 
##     108.86, 68.04, 90.72, 58.97, 140.61, 107.5, 77.11, 81.65, 
##     50.35, 101.6, 61.23, 79.38, 95.25, 72.57, 84.37, 87.54, 61.23, 
##     77.11, 68.04, 74.84, 99.79, 86.18, 62.6, 86.18, 104.78, 72.57, 
##     117.93, 72.57, 81.65, 54.43, 83.91, 86.18, 46.72, 101.15, 
##     81.65, 74.84, 102.06, 113.4, 81.65, 95.25, 103.42, 95.25, 
##     52.62, 57.15, 74.84, 106.59, 63.5, 70.31, 123.38, 66.68, 
##     61.69, 84.82, 83.91, 73.94, 72.57, 113.4, 128.37, 84.82, 
##     81.65, 113.4, 80.29, 72.57, 113.4, 81.65, 61.23, 92.99, 136.98, 
##     93.89, 92.08, 86.18, 74.84, 77.11, 57.61, 92.53, 108.86, 
##     70.76, 83.91, 104.33, 99.79, 65.77, 83.46, 79.38, 97.52, 
##     141.97, 90.72, 99.79, 64.41, 95.25, 45.36, 86.18, 120.2, 
##     104.33, 132.45, 99.79, 91.17, 72.57, 72.57, 68.04, 75.75, 
##     95.25, 63.5, 97.52, 88.45, 106.59, 79.38, 106.59, 62.6, 120.2, 
##     79.38, 88.9, 65.77, 79.38, 80.29, 86.18, 75.75, 99.79, 85.28, 
##     70.31, 68.04, 74.39, 74.84, 74.84, 77.11, 97.52, 108.86, 
##     83.01, 90.72, 45.36, 90.72, 79.38, 90.72, 63.5, 62.6, 58.97, 
##     113.4, 59.87, 99.79, 83.91, 72.57, 97.52, 129.27, 142.88, 
##     68.04, 95.25, 51.26, 47.63, 88.45, 73.48, 99.79, 59.42, 90.72, 
##     83.91, 97.52, 86.18, 78.02, 87.09, 66.22, 93.44, 97.07, 90.72, 
##     84.37, 104.33, 77.56, 68.04, 99.79, 65.77, 65.77, 77.11, 
##     92.53, 90.72, 90.72, 133.81, 113.4, 90.72, 147.42, 68.04, 
##     102.06, 77.11, 79.38, 104.33, 77.11, 72.57, 117.93, 142.88, 
##     68.95, 89.81, 68.95, 72.57, 83.46, 111.13, 94.35, 68.04, 
##     70.31, 83.91, 76.2, 81.65, 113.4, 113.4, 71.67, 90.72, 79.83, 
##     63.5, 86.18, 139.71, 99.79, 81.65, 99.34, 99.79, 117.93, 
##     136.08, 77.11, 113.85, 73.48, 95.25, 81.65, 111.13, 83.91, 
##     47.63, 108.86, 81.65, 83.91, 83.01, 72.57, 65.77, 108.86, 
##     43.09, 65.77, 108.86, 74.84, 66.22, 72.57, 63.5, 87.09, 61.23, 
##     113.4, 95.25, 68.04, 93.89, 68.04, 104.33, 112.49, 72.57, 
##     100.7, 93.89, 117.93, 104.33, 108.86, 68.04, 80.74, 115.67, 
##     70.76, 106.59, 81.65, 77.11, 47.63, 78.02, 65.32, 122.47, 
##     81.65, 77.11, 99.79, 70.31, 95.25, 104.33, 83.91, 106.14, 
##     116.12, 88.9, 86.18, 74.39, 158.76, 89.36, 83.91, 58.97, 
##     113.4, 122.47, 77.11, 90.72, 62.6, 86.18, 70.31, 131.54, 
##     90.72, 102.06, 88.45, 136.08, 76.2, 121.56, 58.97, 96.62, 
##     90.72, 74.84, 68.95, 133.81, 74.84, 66.68, 90.72, 81.65, 
##     73.48, 68.04, 103.42, 86.18, 86.18, 90.72, 131.54, 99.79, 
##     69.4, 90.72, 58.06, 54.43, 88.45, 90.72, 135.62, 53.98, 75.75, 
##     69.4, 72.57, 123.38, 86.18, 93.89, 55.34, 68.04, 52.62, 52.16, 
##     106.59, 54.43, 113.4, 81.65, 86.18, 91.17, 122.47, 78.47, 
##     57.61, 76.66, 113.4, 87.54, 98.43, 117.93, 81.65, 70.31, 
##     74.84, 56.25, 158.76, 69.85, 88.45, 81.65, 129.27, 81.65, 
##     107.95, 79.38, 77.11, 110, 72.57, 92.99, 72.57, 77.11, 77.56, 
##     41.28, 135.17, 69.85, 167.83, 99.79, 54.43, 62.6, 68.04, 
##     106.59, 77.11, 81.65, 83.91, 70.76, 79.38, 86.18, 72.57, 
##     88.45, 112.04, 56.7, 49.9, 88.45, 122.47, 107.5, 122.47, 
##     72.57, 61.23, 57.15, 90.72, 88.45, 76.66, 77.11, 90.72, 115.67, 
##     54.88, 77.11, 80.74, 72.57, 127.01, 88.45, 102.06, 99.79, 
##     80.74, 92.99, 106.59, 90.72, 122.92, 121.56, 81.65, 108.86, 
##     56.7, 72.57, 93.89, 68.04, 74.39, 88.45, 70.31, 72.57, 90.72, 
##     67.13, 113.4, 72.57, 80.74, 104.33, 124.74, 82.55, 88.45, 
##     58.97, 68.95, 113.4, 68.04, 99.79, 88.45, 113.4, 79.38, 59.87, 
##     146.96, 81.65, 81.65, 70.31, 93.89, 72.57, 102.06, 93.89, 
##     111.13, 54.43, 90.72, 92.53, 63.5, 96.16, 49.9, 72.57, 85.28, 
##     77.11, 88.45, 113.4, 91.17, 58.97, 95.25, 83.91, 68.04, 70.31, 
##     165.11, 57.15, 72.57, 90.72, 62.6, 58.97, 83.91, 99.79, 86.18, 
##     54.43, 117.93, 111.13, 95.25, 129.27, 81.65, 53.98, 86.18, 
##     108.86, 61.23, 108.86, 88.45, 120.2, 108.86, 136.08, 136.08, 
##     86.18, 58.97, 73.94, 106.59, 75.75, 92.99, 66.22, 79.38, 
##     72.57, 117.93, 127.01, 90.72, 113.4, 63.5, 72.57, 97.52, 
##     72.57, 72.57, 68.04, 95.25, 111.13, 90.72, 105.23, 104.33, 
##     76.2, 122.47, 79.38, 79.38, 54.43, 131.54, 52.16, 67.59, 
##     78.93, 84.82, 95.25, 113.4, 113.4, 89.81, 89.81, 94.35, 97.52, 
##     93.44, 83.91, 72.57, 90.72, 79.38, 113.4, 102.06, 145.15, 
##     78.47, 88.45, 99.79, 85.28, 73.48, 111.13, 93.44, 68.04, 
##     102.06, 97.52, 121.11, 78.93, 63.5, 77.11, 57.61, 111.13, 
##     56.7, 102.97, 69.85, 90.72, 62.6, 92.53, 106.59, 78.02, 67.59, 
##     95.25, 56.7, 61.23, 81.65, 84.37, 158.76, 67.59, 97.07, 76.66, 
##     79.83, 61.23, 83.91, 113.4, 85.28, 63.96, 99.79, 144.24, 
##     61.23, 102.06, 52.62, 47.63, 97.52, 83.91, 79.38, 77.11, 
##     76.2, 56.7, 81.65, 108.86, 81.65, 89.81, 108.86, 90.26, 87.09, 
##     122.47, 88.45, 142.88, 72.57, 77.11, 77.11, 108.86, 79.38, 
##     53.07, 88.45, 92.99, 72.57, 74.84, 81.65, 97.52, 126.1, 70.31, 
##     77.11, 81.65, 72.57, 90.72, 136.08, 92.08, 58.97, 69.85, 
##     61.23, 70.76, 70.76, 80.74, 73.48, 90.72, 113.4, 58.97, 124.74, 
##     149.69, 81.65, 83.91, 90.72, 94.35, 65.77, 129.27, 53.52, 
##     73.03, 81.65, 81.65, 78.02, 72.57, 82.1, 58.97, 81.65, 136.08, 
##     102.06, 91.63, 81.65, 74.84, 70.31, 99.79, 108.86, 108.86, 
##     111.13, 87.09, 104.33, 92.99, 63.5, 80.74, 96.62, 108.86, 
##     83.01, 74.84, 70.31, 95.71, 52.16, 68.04, 61.23, 108.86, 
##     118.84, 81.65, 111.58, 136.08, 63.5, 122.47, 81.65, 129.27, 
##     77.11, 90.72, 73.94, 113.4, 54.43, 145.15, 72.57, 108.86, 
##     70.31, 86.18, 103.42, 83.91, 98.43, 78.47, 68.95, 88, 63.5, 
##     72.57, 117.93, 85.28, 56.7, 154.22, 114.31, 83.91, 67.13, 
##     96.62, 70.31, 97.52, 81.65, 77.11, 102.06, 99.79, 81.65, 
##     115.67, 79.38, 94.35, 79.38, 127.01, 81.65, 72.57, 89.81, 
##     86.18, 68.04, 68.04, 103.87, 98.43, 77.11, 86.18, 81.65, 
##     128.82, 108.86, 45.36, 78.93, 61.69, 83.91, 117.93, 63.5, 
##     58.06, 68.04, 81.65, 113.4, 99.79, 57.15, 120.2, 83.91, 85.73, 
##     131.54, 67.13, 104.33, 69.85, 80, 88.45, 113.4, 72.57, 90.72, 
##     94.8, 71.67, 79.38, 80.74, 78.93, 65.32, 104.33, 78.93, 113.4, 
##     131.54, 104.78, 99.79, 73.48, 88.45, 70.31, 90.72, 90.72, 
##     79.38, 72.57, 77.56, 88.45, 120.2, 91.63, 70.76, 81.19, 83.91, 
##     81.65, 106.59, 87.09, 63.5, 86.18, 80.29, 83.91, 108.86, 
##     96.16, 106.59, 72.57, 58.97, 86.18, 79.38, 108.86, 95.25, 
##     82.55, 79.38, 78.47, 113.4, 58.97, 102.06, 87.09, 90.72, 
##     81.65, 74.84, 90.72, 73.94, 92.99, 75.3, 79.38, 105.23, 113.4, 
##     72.57, 129.27, 92.99, 54.43, 72.57, 68.04, 141.52, 90.72, 
##     95.25, 90.72, 88.45, 104.33, 92.99, 61.23, 83.91, 74.84, 
##     74.84, 87.09, 61.69, 90.72, 80.74, 85.28, 79.38, 68.04, 84.37, 
##     90.72, 96.16, 72.57, 86.18, 92.53, 106.59, 63.5, 51.26, 53.07, 
##     97.52, 77.56, 72.57, 99.79, 99.79, 81.65, 104.33, 113.4, 
##     81.65, 58.97, 78.93, 85.28, 79.38, 68.04, 111.13, 74.84, 
##     58.97, 79.83, 68.04, 63.5, 102.06, 49.9, 57.15, 131.54, 74.84, 
##     63.5, 71.21, 86.18, 58.97, 70.31, 89.81, 80.29, 92.08, 72.12, 
##     81.65, 63.5, 83.01, 68.04, 90.72, 97.52, 80.74, 61.23, 106.59, 
##     58.97, 63.5, 86.18, 79.38, 108.86, 109.32, 86.18, 65.77, 
##     99.79, 78.02, 104.33, 44, 83.91, 65.77, 82.55, 88.45, 63.5, 
##     99.79, 87.54, 96.16, 53.52, 82.55, 58.97, 88.45, 86.18, 73.94, 
##     63.5, 103.87, 77.11, 63.5, 108.86, 95.25, 90.72, 95.25, 81.65, 
##     86.18, 61.23, 122.47, 65.77, 102.06, 102.06, 89.81, 72.57, 
##     97.52, 104.33, 122.47, 113.4, 86.18, 68.04, 117.93, 117.93, 
##     80.74, 72.57, 67.13, 90.72, 100.7, 77.11, 94.8, 73.03, 75.75, 
##     82.55, 49.9, 77.11, 48.08, 79.38, 104.33, 74.84, 92.08, 74.84, 
##     78.02, 87.09, 74.84, 86.18, 95.25, 163.75, 86.18, 63.5, 65.77, 
##     77.56, 63.96, 78.93, 74.84, 138.35, 101.6, 71.67, 97.52, 
##     81.65, 64.41, 54.43, 83.46, 90.72, 111.13, 78.93, 72.57, 
##     96.16, 81.65, 95.25, 71.21, 96.16, 90.72, 99.79, 81.65, 113.4, 
##     81.65, 85.73, 92.53, 86.18, 83.91, 54.43, 64.41, 74.39, 96.16, 
##     74.84, 83.91, 117.93, 79.38, 147.42, 63.5, 66.68, 111.13, 
##     54.43, 113.4, 127.01, 65.77, 156.04, 88, 111.13, 104.33, 
##     105.23, 87.09, 108.86, 77.11, 76.66, 106.59, 153.77, 85.28, 
##     113.4, 79.38, 68.04, 75.75, 49.9, 81.65, 99.79, 58.97, 90.72, 
##     104.33, 108.86, 61.23, 109.77, 134.72, 93.89, 113.4, 91.63, 
##     65.77, 52.16, 81.65, 68.04, 113.4, 81.65, 88.45, 93.44, 54.43, 
##     60.78, 102.06, 64.41, 61.23, 105.23, 113.4, 65.32, 70.76, 
##     63.5, 83.91, 65.77, 104.33, 72.57, 86.18, 80.74, 117.93, 
##     111.58, 62.14, 44, 108.86, 90.72, 68.95, 99.79, 90.72, 72.57, 
##     108.41, 104.33, 77.11, 58.97, 56.7, 79.38, 90.72, 56.25, 
##     90.72, 81.65, 104.33, 95.25, 117.93, 81.65, 63.5, 74.39, 
##     77.11, 77.11, 90.72, 63.5, 65.77, 127.01, 99.34, 60.78, 76.2, 
##     92.99, 86.18, 91.17, 53.07, 45.36, 86.18, 88.45, 111.13, 
##     68.04, 79.38, 54.43, 63.5, 73.03, 84.82, 55.34, 56.7, 68.04, 
##     68.04, 88.45, 73.94, 51.26, 123.38, 75.75, 95.25, 84.82, 
##     113.4, 107.95, 83.91, 70.76, 97.52, 51.71, 72.57, 81.65, 
##     113.4, 90.72, 49.9, 99.79, 90.72, 79.38, 113.4, 95.25, 84.82, 
##     97.52, 72.57, 81.65, 86.18, 101.6, 81.65, 40.82, 81.65, 89.36, 
##     53.98, 90.72, 92.99, 77.11, 86.18, 90.72, 135.62, 113.4, 
##     144.7, 90.72, 77.11, 158.76, 99.79, 136.08, 86.18, 97.98, 
##     88.45, 86.18, 63.5, 95.25, 105.23, 67.59, 86.18, 74.84, 106.59, 
##     68.04, 98.88, 57.61, 69.85, 77.11, 111.13, 120.2, 110.68, 
##     129.27, 66.68, 54.43, 81.65, 61.69, 99.79, 74.84, 74.84, 
##     77.11, 57.61, 58.97, 72.57, 80.29, 83.91, 90.72, 89.36, 95.25, 
##     108.86, 79.83, 131.54, 95.25, 127.01, 108.86, 86.18, 90.72, 
##     181.44, 90.72, 92.08, 92.99, 74.84, 99.79, 144.24, 108.86, 
##     87.54, 74.39, 99.79, 72.57, 113.4, 92.99, 90.72, 88.45, 93.44, 
##     113.4, 58.97, 74.84, 154.22, 87.09, 70.31, 68.95, 92.99, 
##     94.35, 83.91, 89.81, 156.49, 63.5, 77.11, 48.99, 99.79, 86.18, 
##     65.77, 140.16, 81.65, 108.86, 117.03, 63.05, 81.65, 80.29, 
##     84.82, 61.69, 68.95, 86.18, 99.79, 54.43, 131.54, 67.59, 
##     71.67, 115.67, 123.38, 81.65, 108.86, 54.43, 96.16, 95.71, 
##     62.6, 74.84, 70.31, 44.45, 104.33, 101.6, 104.33, 57.15, 
##     99.79, 78.47, 69.85, 79.38, 63.5, 58.97, 89.81, 113.4, 145.15, 
##     48.08, 68.04, 79.38, 134.72, 86.18, 106.59, 130.63, 75.75, 
##     58.97, 79.83, 61.23, 98.88, 86.18, 63.5, 113.4, 138.35, 64.86, 
##     99.79, 79.38, 90.72, 92.99, 124.74, 73.03, 70.31, 102.97, 
##     74.84, 81.65, 68.04, 88.9, 84.37, 99.79, 91.63, 102.06, 62.6, 
##     83.91, 121.56, 113.4, 61.23, 129.27, 95.25, 79.38, 82.55, 
##     85.28, 79.38, 99.79, 90.72, 203.21, 122.47, 75.75, 67.13, 
##     97.52, 108.86, 68.04, 63.5, 92.99, 108.86, 113.4, 102.06, 
##     108.86, 97.07, 56.7, 103.42, 117.93, 127.01, 81.65, 90.72, 
##     92.08, 127.01, 81.65, 66.22, 74.84, 95.25, 90.72, 63.5, 86.18, 
##     82.55, 102.06, 151.95, 93.44, 131.54, 83.46, 83.91, 58.97, 
##     81.65, 77.11, 158.76, 87.09, 102.06, 91.63, 74.84, 92.08, 
##     79.83, 82.55, 72.57, 113.4, 63.5, 72.57, 76.66, 132.45, 82.1, 
##     82.1, 67.13, 109.77, 52.62, 66.22, 81.65, 81.65, 56.7, 113.4, 
##     127.01, 70.31, 54.43, 126.55, 97.52, 70.31, 53.52, 106.59, 
##     90.72, 115.21, 75.75, 54.43, 78.02, 99.79, 74.84, 106.59, 
##     50.35, 71.21, 68.04, 90.72, 73.94, 60.78, 62.6, 104.33, 81.19, 
##     106.59, 72.57, 55.34, 163.29, 65.77, 93.44, 68.04, 75.75, 
##     83.91, 74.84, 63.5, 97.52, 74.84, 97.52, 68.95, 54.43, 133.81, 
##     90.72, 107.05, 105.69, 74.84, 83.46, 72.57, 102.06, 70.31, 
##     83.91, 113.4, 72.57, 90.72, 136.08, 78.47, 65.77, 95.25, 
##     70.31, 77.11, 86.18, 131.54, 80.29, 99.79, 75.75, 136.08, 
##     90.72, 104.33, 63.5, 104.33, 77.11, 122.47, 68.04, 97.52, 
##     68.04, 90.72, 83.91, 97.52, 56.7, 100.7, 110.68, 76.2, 77.11, 
##     99.79, 81.65, 197.77, 108.86, 104.33, 63.5, 44.45, 140.61, 
##     64.41, 72.57, 70.31, 95.25, 74.39, 102.06, 90.72, 99.79, 
##     92.99, 44.91, 117.93, 88.45, 61.23, 79.38, 86.18, 90.72, 
##     102.06, 122.47, 104.33, 88, 65.77, 138.35, 58.97, 72.57, 
##     99.79, 97.98, 90.72, 94.8, 67.13, 68.04, 49.9, 81.65, 68.04, 
##     66.68, 86.18, 63.5, 78.47, 92.99, 124.74, 93.44, 60.78, 66.68, 
##     36.29, 86.18, 68.04, 46.27, 77.11, 63.5, 70.31, 92.99, 63.5, 
##     58.51, 68.04, 106.59, 134.26, 98.43, 95.25, 81.65, 77.11, 
##     90.72, 63.5, 83.91, 122.47, 108.86, 89.81, 104.33, 125.65, 
##     74.84, 74.84, 63.5, 122.47, 68.49, 81.65, 81.65, 68.04, 170.1, 
##     86.18, 86.18, 71.21, 97.52, 65.32, 99.79, 108.86, 105.69, 
##     77.11, 83.01, 95.25, 109.77, 84.82, 81.65, 81.65, 88.45, 
##     65.77, 97.52, 102.06, 74.84, 114.76, 100.7, 82.55, 75.75, 
##     102.06, 72.57, 102.06, 77.11, 70.31, 99.79, 79.38, 86.18, 
##     77.11, 107.05, 109.77, 74.84, 84.82, 106.14, 120.2, 99.79, 
##     95.25, 65.77, 80.74, 67.13, 60.33, 129.27, 108.86, 100.7, 
##     54.88, 63.5, 81.65, 72.57, 75.75, 90.72, 100.7, 54.43, 90.72, 
##     62.6, 72.57, 49.9, 72.57, 79.38, 90.72, 65.77, 68.04, 74.84, 
##     89.36, 72.57, 69.4, 78.47, 90.72, 89.36, 99.79, 54.43, 49.9, 
##     99.79, 70.31, 77.11, 65.77, 83.91, 61.23, 95.71, 106.59, 
##     58.97, 106.59, 124.74, 81.65, 128.82, 102.97, 72.57, 70.31, 
##     56.7, 90.72, 52.16, 90.72, 89.36, 54.43, 88.9, 81.65, 84.37, 
##     106.59, 104.33, 102.06, 54.43, 75.75, 83.91, 79.38, 113.4, 
##     134.72, 80.74, 54.43, 83.91, 86.18, 90.72, 85.73, 86.18, 
##     99.79, 88.45, 63.96, 63.5, 86.18, 97.52, 115.67, 99.79, 80.74, 
##     86.18, 89.81, 46.27, 79.38, 95.25, 78.47, 86.18, 68.04, 95.25, 
##     78.47, 70.31, 65.77, 95.25, 131.54, 104.33, 63.5, 90.72, 
##     58.97, 97.52, 68.04, 102.06, 95.25, 145.15, 70.76, 74.84, 
##     90.72, 68.04, 69.4, 104.33, 70.76, 72.57, 102.06, 90.72, 
##     104.33, 108.86, 52.62, 70.31, 94.35, 58.97, 79.38, 108.86, 
##     110.22, 72.57, 72.57, 126.55, 68.04, 108.86, 92.53, 72.57, 
##     77.11, 86.18, 77.11, 86.18, 88.45, 68.95, 68.04, 72.57, 79.38, 
##     86.18, 102.06, 117.93, 46.72, 120.2, 99.79, 99.79, 81.65, 
##     92.53, 68.04, 90.72, 86.18, 63.5, 102.06, 63.5, 87.09, 92, 
##     99.79, 99.79, 58.97, 69.85, 75.3, 85.28, 66.68, 64.86, 77.11, 
##     99.79, 90.72, 68.04, 68.49, 115.67, 69.4, 113.4, 109.77, 
##     90.72, 72.57, 90.72, 74.84, 104.33, 131.54, 59.42, 179.17, 
##     76.2, 51.71, 61.23, 45.36, 90.72, 97.52, 73.94, 99.79, 72.57, 
##     79.38, 78.47, 95.25, 81.65, 51.26, 104.33, 58.06, 95.25, 
##     63.5, 84.37, 100.7, 108.86, 136.08, 61.23, 60.78, 83.01, 
##     226.8, 86.18, 86.18, 68.04, 104.33, 93.89, 74.84, 86.18, 
##     58.97, 64.41, 63.96, 77.11, 65.77, 53.98, 80.74, 113.4, 92.99, 
##     90.72, 68.04, 122.47, 98.43, 89.36, 97.52, 61.23, 95.25, 
##     68.04, 95.25, 88.45, 58.97, 71.21, 72.57, 64.41, 82.55, 119.29, 
##     99.79, 86.18, 63.5, 99.79, 102.06, 83.46, 81.65, 70.76, 104.33, 
##     55.79, 58.97, 81.65, 86.18, 83.91, 78.02, 49.9, 54.43, 65.77, 
##     86.64, 76.66, 81.65, 48.99, 89.36, 70.31, 90.72, 95.25, 93.44, 
##     113.4, 72.57, 79.38, 77.11, 83.91, 74.84, 103.87, 63.5, 63.5, 
##     148.32, 88.45, 113.4, 78.93, 90.72, 92.53, 108.86, 108.86, 
##     81.65, 68.04, 90.72, 104.33, 93.44, 122.47, 104.33, 94.8, 
##     97.52, 90.72, 68.95, 88.45, 79.38, 83.91, 99.79, 72.57, 79.38, 
##     99.79, 107.05, 99.79, 90.72, 72.57, 77.11, 80.74, 70.31, 
##     136.08, 68.04, 85.73, 63.5, 91.63, 74.84, 75.75, 122.47, 
##     70.31, 113.4, 92.53, 122.47, 68.04, 61.23, 54.43, 56.7, 61.23, 
##     113.4, 79.38, 81.65, 108.86, 108.86, 114.31, 88.45, 92.53, 
##     97.52, 68.04, 170.1, 63.5, 80.74, 74.84, 92.99, 113.4, 72.57, 
##     90.72, 86.18, 108.86, 90.72, 99.79, 55.34, 55.34, 117.93, 
##     81.65, 79.38, 79.38, 79.83, 63.5, 84.82, 90.72, 113.4, 68.04, 
##     56.25, 77.11, 95.25, 76.2, 48.08, 86.18, 63.5, 63.5, 81.65, 
##     113.4, 90.72, 122.47, 63.5, 108.86, 52.16, 110.22, 83.91, 
##     81.65, 72.57, 93.44, 73.94, 64.86, 145.15, 73.94, 90.72, 
##     91.17, 78.47, 74.84, 84.82, 90.72, 72.57, 165.56, 105.23, 
##     136.08, 163.29, 79.38, 108.86, 68.49, 86.18, 81.65, 136.08, 
##     99.79, 77.11, 68.04, 92.99, 79.38, 65.77, 68.04, 88.45, 58.97, 
##     58.97, 62.6, 68.04, 154.22, 83.91, 102.06, 90.72, 81.65, 
##     88, 68.04, 83.91, 68.04, 67.13, 98.88, 104.33, 88.45, 104.33, 
##     74.84, 68.04, 73.03, 68.04, 61.23, 86.64, 86.18, 95.25, 74.84, 
##     82.1, 87.09, 131.54, 95.25, 77.11, 88.45, 63.5, 113.4, 48.53, 
##     58.97, 99.79, 96.16, 78.93, 102.06, 68.04, 65.77, 86.18, 
##     115.67, 74.84, 115.67, 136.08, 85.28, 90.72, 86.18, 76.66, 
##     90.72, 100.24, 99.79, 113.4, 90.72, 70.31, 108.86, 122.47, 
##     56.25, 86.18, 75.3, 70.31, 75.75, 81.65, 122.47, 66.68, 84.82, 
##     131.54, 70.31, 68.04, 90.72, 46.27, 103.42, 66.22, 108.86, 
##     81.65, 131.54, 63.5, 87.54, 61.23, 79.38, 81.65, 117.03, 
##     107.5, 95.25, 61.23, 68.04, 70.31, 90.72, 86.18, 63.5, 95.25, 
##     88.45, 91.63, 113.4, 58.97, 71.67, 81.65, 97.52, 115.21, 
##     86.18, 61.23, 86.18, 99.79, 70.31, 62.14, 58.97, 70.31, 109.77, 
##     62.6, 80.74, 81.65, 113.4, 83.91, 90.26, 99.79, 90.72, 60.78, 
##     49.9, 72.57, 104.33, 36.29, 94.8, 95.25, 122.47, 113.4, 136.08, 
##     88.45, 100.7, 90.72, 80.29, 117.03, 72.57, 90.72, 47.17, 
##     101.6, 70.76, 90.72, 90.72, 68.04, 96.16, 74.84, 99.79, 95.25, 
##     81.65, 101.6, 100.7, 41.73, 92.99, 86.18, 63.5, 74.84, 104.33, 
##     108.86, 79.83, 108.86, 92.53, 83.91, 66.22, 72.57, 96.16, 
##     58.97, 99.79, 79.38, 88.45, 90.72, 90.72, 95.25, 77.11, 107.95, 
##     136.08, 47.63, 64.41, 90.72, 95.25, 61.23, 81.65, 97.98, 
##     79.38, 40.82, 108.86, 77.11, 81.65, 72.57, 89.81, 129.73, 
##     100.24, 81.65, 88, 86.18, 118.84, 81.65, 113.4, 104.33, 86.18, 
##     90.72, 58.06, 94.35, 92.99, 102.06, 47.63, 83.91, 72.57, 
##     108.86, 79.83, 44.45, 77.11, 113.85, 95.25, 95.25, 83.46, 
##     92.99, 149.69, 80.29, 100.7, 70.31, 87.54, 77.11, 111.13, 
##     73.94, 101.6, 88.45, 94.8, 127.01, 70.31, 57.61, 63.5, 100.7, 
##     79.38, 95.25, 77.11, 73.94, 104.33, 68.04, 88.45, 99.79, 
##     102.06, 78.47, 70.31, 62.6, 65.77, 124.74, 113.4, 74.84, 
##     74.84, 97.52, 63.5, 72.57, 81.65, 81.65, 108.86, 140.61, 
##     49.9, 88.45, 72.57, 86.18, 117.93, 93.44, 51.71, 92.99, 86.64, 
##     65.77, 99.34, 93.44, 57.15, 63.5, 106.14, 56.7, 90.72, 125.19, 
##     113.4, 56.7, 58.97, 99.79, 87.09, 88, 99.79, 54.43, 69.85, 
##     127.01, 77.11, 113.4, 108.86, 79.38, 83.91, 72.57, 98.43, 
##     86.18, 89.81, 90.72, 88.9, 88.45, 83.01, 66.68, 70.31, 83.91, 
##     122.47, 61.23, 138.35, 72.57, 84.37, 65.77, 90.72, 68.04, 
##     95.25, 179.17, 90.26, 117.93, 104.33, 94.8, 83.91, 99.79, 
##     81.65, 54.43, 74.84, 105.23, 74.84, 62.14, 112.49, 66.68, 
##     46.27, 101.15, 79.38, 123.83, 77.11, 68.04, 102.06, 156.49, 
##     96.16, 97.07, 95.25, 86.18, 108.86, 82.55, 81.65, 52.16, 
##     81.65, 74.84, 89.81, 90.72, 68.04, 83.91, 55.79, 71.21, 83.91, 
##     79.38, 90.72, 77.11, 61.23, 81.65, 113.4, 77.11, 122.92, 
##     95.71, 90.72, 68.04, 108.86, 81.65, 67.59, 68.04, 83.46, 
##     97.52, 90.72, 81.65, 69.4, 70.31, 107.05, 84.37, 78.93, 70.31, 
##     99.79, 86.18, 108.86, 58.97, 46.72, 72.57, 80.29, 86.18, 
##     72.57, 54.43, 112.49, 67.13, 74.84, 69.4, 141.07, 81.65, 
##     77.11, 61.23, 88.45, 92.53, 88.45, 90.72, 54.43, 90.72, 52.16, 
##     59.42, 57.61, 64.41, 81.65, 83.46, 97.52, 54.43, 68.49, 54.43, 
##     79.38, 83.91, 90.72, 88.45, 68.04, 85.28, 77.11, 102.06, 
##     81.65, 107.05, 70.31, 71.21, 90.72, 90.72, 100.7, 86.18, 
##     81.65, 86.18, 91.17, 62.14, 71.67, 90.72, 81.65, 68.04, 72.57, 
##     89.81, 92.99, 113.4, 90.72, 108.86, 86.64, 107.5, 86.18, 
##     77.11, 78.02, 149.69, 79.38, 113.4, 97.52, 74.39, 99.79, 
##     73.48, 68.04, 124.74, 57.15, 79.38, 74.84, 91.63, 95.25, 
##     79.38, 102.06, 112.04, 86.18, 99.79, 95.25, 113.4, 87.54, 
##     92.99, 83.46, 91.63, 70.31, 78.02, 88.45, 104.33, 77.11, 
##     77.11, 68.04, 97.98, 112.94, 46.72, 63.5, 113.4, 44.45, 87.54, 
##     74.39, 74.84, 108.86, 97.52, 97.07, 97.52, 90.72, 131.54, 
##     88, 131.09, 72.57, 86.18, 99.34, 70.31, 102.06, 83.46, 86.64, 
##     83.46, 83.01, 63.5, 81.65, 63.5, 86.64, 68.04, 100.7, 55.79, 
##     99.79, 58.97, 71.67, 68.04, 81.65, 64.86, 90.72, 122.47, 
##     95.25, 70.31, 58.06, 72.57, 92.99, 68.04, 72.57, 68.04, 57.61, 
##     99.79, 108.86, 78.93, 92.99, 104.33, 94.35, 65.32, 104.33, 
##     69.85, 97.52, 117.03, 136.08, 81.65, 86.18, 167.83, 106.59, 
##     95.25, 117.93, 70.31, 86.18, 92.08, 106.59, 77.11, 83.91, 
##     68.04, 65.77, 86.18, 167.83, 68.04, 82.1, 95.71, 76.2, 136.08, 
##     54.43, 103.42, 65.77, 117.93, 127.01, 90.72, 92.53, 145.15, 
##     111.13, 81.65, 61.23, 72.57, 76.66, 83.46, 54.43, 62.6, 65.77, 
##     101, 95.25, 83.91, 96.16, 60.33, 81.65, 54.43, 90.72, 54.43, 
##     72.57, 102.06, 92.08, 90.72, 131.54, 97.52, 95.25, 74.39, 
##     77.11, 90.72, 72.57, 106.59, 90.72, 69.4, 75.75, 82.55, 83.91, 
##     99.79, 68.95, 63.5, 68.04, 68.04, 86.18, 102.06, 54.43, 61.69, 
##     74.84, 77.11, 93.89, 90.72, 89.81, 86.18, 83.91, 102.06, 
##     104.33, 109.77, 83.46, 74.84, 112.04, 118.39, 75.3, 77.11, 
##     68.04, 88.45, 58.97, 74.84, 77.11, 83.91, 85.28, 68.04, 114.31, 
##     136.08, 104.33, 88, 86.18, 72.57, 81.65, 205, 98.88, 63.5, 
##     104.33, 82.1, 95.25, 113.4, 102.06, 99.79, 83.91, 81.65, 
##     54.43, 84.37, 80.74, 82.55, 85.73, 64.41, 97.52, 114.31, 
##     83.91, 97.52, 99.79, 117.93, 74.39, 101.15, 92.99, 90.72, 
##     120.2, 95.25, 104.33, 83.01, 90.72, 81.65, 86.18, 77.11, 
##     81.65, 83.91, 77.11, 118.39, 113.4, 97.52, 90.72, 88.45, 
##     88.45, 72.57, 82.1, 90.72, 108.41, 112.04, 79.83, 117.93, 
##     87.09, 98.43, 113.4, 83.91, 74.84, 90.72, 58.97, 62.6, 76.66, 
##     68.04, 93.44, 90.72, 75.3, 86.18, 102.06, 62.6, 95.25, 70.31, 
##     65.77, 72.57, 77.11, 74.84, 77.11, 79.38, 74.84, 83.91, 79.38, 
##     77.11, 77.11, 77.11, 68.04, 77.11, 68.49, 97.07, 92.99, 80.74, 
##     81.65, 104.33, 99.79, 136.08, 104.33, 113.4, 76.66, 65.32, 
##     92.99, 99.79, 95.25, 183.7, 58.97, 131.54, 122.47, 78.47, 
##     97.52, 79.38, 71.67, 90.72, 74.84, 71.21, 113.4, 70.31, 81.65, 
##     108.86, 95.25, 63.5, 88.45, 113.4, 122.47, 86.18, 64.41, 
##     58.97, 113.4, 70.31, 65.77, 76.2, 55.34, 123.38, 143.34, 
##     81.65, 99.79, 86.18, 90.72, 63.5, 45.36, 63.5, 91.63, 99.79, 
##     86.18, 81.65, 74.84, 99.79, 97.52, 77.11, 97.98, 113.4, 131.54, 
##     90.72, 113.4, 92.99, 79.38, 58.97, 77.11, 88.45, 92.08, 108.86, 
##     114.31, 88.45, 104.33, 58.97, 78.47, 95.25, 56.7, 58.97, 
##     99.79, 54.43, 97.52, 86.18, 106.59, 86.18, 98.88, 67.13, 
##     94.8, 136.08, 86.18, 65.32, 109.77, 72.57, 64.41, 83.91, 
##     69.85, 70.31, 87.09, 117.03, 89.81, 68.04, 83.46, 61.23, 
##     70.31, 124.74, 67.13, 117.93, 119.75, 86.18, 83.91, 102.06, 
##     60.78, 79.38, 90.72, 77.11, 54.43, 66, 90.72, 71.67, 81.65, 
##     68.04, 63.5, 90.72, 131.54, 136.08, 127.01, 49.44, 61.23, 
##     108.86, 74.84, 65.77, 73.03, 75.75, 77.11, 108.86, 90.72, 
##     113.4, 70.31, 125.19, 92.53, 86.64, 122.47, 91.17, 104.33, 
##     108.86, 119.75, 61.23, 83.91, 95.25, 70.31, 54.43, 72.57, 
##     106.59, 95.25, 129.27, 95.25, 59.87, 44.91, 81.65, 74.84, 
##     108.86, 86.18, 83.46, 86.18, 81.65, 56.7, 72.57, 83.91, 94.8, 
##     61.23, 73.03, 102.06, 90.72, 86.18, 86.18, 55.34, 59.87, 
##     86.18, 108.86, 90.26, 89.81, 58.97, 122.47, 99.79, 120.2, 
##     104.33, 97.07, 79.38, 116.57, 113.4, 79.38, 91.63, 91.17, 
##     95.25, 63.96, 158.76, 88.45, 79.38, 90.72, 83.01, 90.72, 
##     83.01, 108.86, 99.79, 124.74, 74.84, 81.65, 71.21, 108.86, 
##     86.18, 86.18, 99.79, 136.08, 90.72, 45.36, 99.79, 54.43, 
##     80, 54.43, 54.43, 104.33, 66.68, 77.11, 108.86, 92.99, 72.57, 
##     68.04, 88.45, 68.04, 84.37, 99.79, 49.9, 112.49, 64.41, 95.25, 
##     92.99, 83.91, 90.72, 81.65, 108.86, 67.13, 112.94, 83.01, 
##     77.56, 81.65, 108.86, 70.76, 50.8, 102.06, 79.38, 131.54, 
##     93.44, 127.01, 87.54, 113.4, 77.11, 72.57, 125.19, 72.57, 
##     72.57, 68.04, 97.52, 96.16, 55.79, 90.72, 81.65, 95.25, 81.65, 
##     76.2, 68.04, 88, 68.04, 113.4, 77.11, 79.38, 113.4, 81.65, 
##     120.66, 109.77, 70.31, 81.65, 74.84, 113.4, 49.9, 59.87, 
##     95.25, 72.12, 102.06, 49.9, 52.16, 83.91, 63.5, 62.6, 90.72, 
##     63.5, 60, 70.76, 77.11, 95.25, 112.49, 64.86, 51.26, 72.57, 
##     99.79, 90.72, 89.36, 85.28, 90.72, 86.18, 82.1, 127.01, 80.74, 
##     104.33, 77.11, 77.11, 79.38, 63.5, 68.04, 62.14, 93.44, 93.44, 
##     136.08, 69.85, 65.77, 107.05, 102.06, 177.81, 61.23, 117.48, 
##     86.18, 73.03, 78.02, 74.84, 95.25, 82.55, 86.18, 81.65, 88.45, 
##     112.49, 107.05, 66.68, 90.72, 83.01, 136.08, 99.34, 107.95, 
##     104.33, 83.91, 81.19, 63.5, 121.56, 90.72, 83.91, 63.5, 90.72, 
##     111.13, 99.79, 79.38, 116.12, 90.72, 154.22, 87.09, 104.33, 
##     43.54, 111.13, 79.38, 90.72, 72.57, 122.47, 88.45, 112.04, 
##     95.25, 104.33, 82.55, 122.47, 92.99, 99.79, 68.04, 99.79, 
##     58.51, 69.4, 146.96, 54.43, 145.15, 66.22, 122.47, 47.63, 
##     84.37, 83.01, 104.33, 80.74, 81.65, 70.31, 119.75, 91.63, 
##     81.19, 48.08, 88.45, 89.36, 90.72, 79.38, 58.97, 99.79, 81.65, 
##     71.67, 86.18, 85.28, 117.93, 79.38, 129.27, 121.56, 143.79, 
##     86.18, 87.09, 86.18, 99.79, 113.4, 68.04, 97.07, 79.38, 83.01, 
##     79.38, 88.9, 70.31, 99.79, 73.48, 77.11, 92.99, 86.18, 83.91, 
##     127.01, 103.42, 85.28, 106.59, 84.82, 102.06, 95.25, 83.91, 
##     92.99, 99.79, 68.04, 77.11, 50.8, 88.45, 73.48, 90.72, 68.04, 
##     127.01, 72.57, 99.79, 88.45, 76.2, 45.36, 92.99, 65.77, 109.32, 
##     99.79, 65.77, 81.65, 99.79, 86.18, 122.47, 68.95, 90.72, 
##     81.65, 45.36, 63.5, 77.11, 112.04, 88.9, 70.31, 54.43, 106.59, 
##     81.65, 90.72, 84.37, 106.59, 72.57, 108.86, 56.7, 114.76, 
##     63.5, 86.18, 88.45, 68.04, 89.81, 77.11, 83.91, 70.31, 104.33, 
##     77.11, 90.72, 98.43, 63.96, 97.52, 106.59, 50.8, 96.16, 90.72, 
##     81.65, 61.23, 68.04, 113.4, 135.17, 68.04, 99.79, 90.72, 
##     73.48, 73.94, 126.1, 63.5, 97.52, 65.77, 86.18, 108.41, 90.72, 
##     97.52, 65.32, 53.07, 122.47, 72.57, 85.28, 72.57, 81.65, 
##     113.4, 112.49, 78.02, 69.85, 77.11, 88.45, 89.81, 83.91, 
##     92.99, 117.93, 90.72, 120.2, 90.72, 118, 91.63, 61.23, 70.31, 
##     78.02, 136.08, 99.79, 99.79, 88.45, 61.23, 113.85, 94.35, 
##     68.04, 122.47, 144.24, 92.99, 73.94, 78.93, 68.04, 104.33, 
##     131.54, 49.9, 86.18, 68.04, 113.4, 82.1, 72.57, 102.06, 79.38, 
##     60.78, 95.25, 44.45, 80.29, 63.5, 88.45, 56.7, 105.23, 95.25, 
##     108.86, 85.28, 77.11, 173.27, 117.93, 81.65, 68.49, 72.57, 
##     90.72, 58.97, 90.72, 95.25, 136.08, 68.04, 83.91, 81.65, 
##     70.31, 89.36, 56.7, 79.38, 99.79, 59.87, 104.33, 95.25, 68.04, 
##     68.04, 84.82, 89.36, 64.86, 62.14, 80.74, 68.49, 72.57, 73.94, 
##     117.93, 58.06, 90.72, 77.56, 68.04, 99.79, 78.02, 71.21, 
##     142.88, 92.08, 67.13, 79.38, 47.63, 79.38, 53.52, 90.72, 
##     111.13, 114.76, 52.16, 99.79, 65.77, 95.25, 102.06, 98.88, 
##     92.08, 81.19, 97.98, 97.52, 90.72, 88.45, 56.7, 86.18, 77.11, 
##     71.21, 99.79, 43.09, 77.11, 68.04, 68.04, 97.52, 58.51, 95.25, 
##     81.65, 92.99, 77.11, 108.86, 47.63, 102.06, 72.57, 65, 90.72, 
##     58.97, 83.01, 63.5, 91.63, 88.9, 102.06, 61.23, 90.72, 77.11, 
##     79.38, 92.53, 65.77, 77.11, 72.57, 97.52, 56.7, 81.65, 77.11, 
##     67.13, 59.87, 121.56, 79.38, 59.87, 100.24, 72.57, 86.18, 
##     90.72, 68.04, 83.91, 68.04, 87.54, 72.57, 97.07, 108.86, 
##     90.72, 127.01, 96.16, 99.79, 124.74, 102.06, 74.84, 68.04, 
##     74.84, 72.57, 88.45, 81.65, 90.72, 77.56, 95.25, 86.18, 65.77, 
##     106.59, 58.97, 83.91, 104.33, 90.72, 117.93, 50.8, 86.18, 
##     77.11, 110.22, 64.86, 83.91, 77.11, 64.86, 90.72, 120.2, 
##     73.94, 113.4, 84.37, 51.26, 108.86, 88.45, 90.72, 72.57, 
##     99.79, 80.74, 108.86, 90.72, 83.91, 77.11, 104.33, 145.15, 
##     78.02, 83.91, 80.29, 75.75, 92.53, 68.04, 90.72, 151.95, 
##     83.91, 108.86, 113.4, 90.26, 86.18, 88.45, 136.08, 67.13, 
##     55.79, 104.33, 97.52, 108.86, 95.25, 50.35, 58.97, 58.06, 
##     65.77, 68.04, 90.72, 70.31, 72.57, 73.94, 104.33, 56.25, 
##     66.68, 78.47, 92.99, 109.32, 90.72, 127.01, 97.52, 78.02, 
##     120.2, 81.65, 63.5, 131.54, 64.86, 69.4, 90.72, 91.17, 58.97, 
##     90.72, 66.68, 111.58, 99.79, 106.14, 77.11, 108.86, 80.29, 
##     84.37, 58.06, 104.33, 56.7, 118.84, 82.55, 104.33, 74.84, 
##     106.59, 47.63, 108.86, 116.12, 65.77, 73.94, 85.73, 117.93, 
##     58.97, 137.89, 59.87, 70.31, 74.84, 81.65, 63.5, 74.84, 58.06, 
##     74.39, 83.91, 106.59, 88.45, 86.18, 47.63, 54.43, 81.65, 
##     63.5, 44, 83.91, 68.04, 76.2, 117.93, 70.31, 72.57, 80.74, 
##     44, 104.33, 79.38, 72.57, 61.23, 104.33, 95.25, 97.52, 59.87, 
##     81.19, 74.39, 63.5, 83.91, 72.57, 54.43, 97.52, 51.71, 58.06, 
##     72.57, 80.74, 127.01, 83.01, 87.09, 72.57, 127.01, 81.65, 
##     74.84, 97.07, 46.27, 108.86, 70.31, 82.55, 71.21, 87.09, 
##     92.99, 86.18, 85.73, 84.37, 90.72, 81.65, 145.15, 98.88, 
##     83.01, 86.18, 78.47, 113.4, 108.86, 77.11, 63.5, 102.06, 
##     98.43, 63.5, 95.25, 72.57, 106.59, 71.67, 136.08, 117.93, 
##     85, 86.18, 111.13, 111.13, 127.01, 90.72, 81.65, 81.65, 58.97, 
##     63.05, 99.79, 113.4, 107.05, 95.25, 117.93, 95.25, 77.11, 
##     99.79, 86.18, 75.3, 91.63, 50.8, 75.3, 108.86, 58.97, 99.79, 
##     68.04, 102.51, 86.18, 95.25, 64.41, 120.2, 102.06, 72.57, 
##     122.47, 88.45, 98.88, 108.86, 70.31, 133.81, 103.87, 74.39, 
##     73.94, 72.57, 59.87, 70.31, 81.65, 73.48, 83.91, 90.72, 88.45, 
##     73.48, 92.99, 64.41, 61.23, 83.91, 114.76, 52.62, 120.2, 
##     80.74, 77.11, 111.13, 97.52, 92.99, 68.04, 76.2, 97.52, 102.06, 
##     99.79, 63.5, 79.38, 68.04, 115.67, 58.97, 117.93, 74.84, 
##     86.18, 92.08, 108.86, 78.02, 79.38, 72.57, 81.65, 93.89, 
##     115.67, 81.65, 44, 108.86, 76.66, 89.36, 147.42, 81.65, 111.13, 
##     68.04, 83.01, 86.64, 83.46, 101.15, 117.93, 92.08, 81.65, 
##     81.19, 86.18, 95.25, 108.86, 86.18, 72.57, 128.82, 81.65, 
##     95.25, 70.76, 86.18, 86.18, 68.04, 131.54, 99.79, 90.72, 
##     74.84, 97.52, 113.4, 55.79, 93.89, 67.13, 49.9, 90.72, 78.47, 
##     127.01, 102.06, 90.72, 90.72, 90.72, 99.79, 72.57, 70.76, 
##     99.79, 72.57, 65.77, 83.91, 87.54, 98.88, 95.25, 107, 97.98, 
##     104.33, 88.45, 77.11, 63.5, 90.72, 46.27, 77.11, 69.85, 62.14, 
##     82.55, 68.04, 68.04, 149.69, 59.42, 90.72, 78.93, 74.84, 
##     86.18, 85.73, 61.23, 79.38, 90.72, 90.72, 105.23, 79.38, 
##     90.72, 81.65, 54.88, 95.25, 74.84, 99.79, 80.74, 122.47, 
##     158.76, 121.56, 104.33, 70.31, 124.74, 68.95, 91.63, 81.65, 
##     63.5, 74.84, 79.38, 88.9, 89.81, 90.72, 81.65, 92.53, 70.31, 
##     77.11, 84.37, 81.65, 47.63, 62.14, 65.77, 61.23, 97.52, 105.23, 
##     86.18, 111.13, 70.31, 136.08, 120.2, 116.12, 85.28, 72.57, 
##     99.79, 115.67, 78.02, 161.03, 68.04, 97.52, 88.9, 81.65, 
##     74.84, 116.12, 104.33, 65.77, 81.65, 56.7, 104.33, 81.19, 
##     72.57, 54.43, 96.16, 86.18, 79.83, 74.84, 81.65, 104.33, 
##     86.18, 95.25, 63.5, 70.31, 92.08, 88.9, 117.48, 77.11, 99.79, 
##     86.18, 113.4, 89.36, 88.45, 106.59, 117.93, 127.01, 117.93, 
##     50.8, 74.84, 108.86, 83.91, 104.33, 80.74, 102.06, 136.08, 
##     102.06, 89.81, 54.43, 79.38, 51.71, 99.79, 58.97, 106.59, 
##     61.23, 81.65, 87.09, 81.65, 108.86, 70.76, 90.72, 85.73, 
##     108.86, 70.76, 72.57, 68.04, 90.72, 65.77, 68.04, 99.79, 
##     90.72, 88, 98.88, 106.59, 75.3, 95.25, 57.15, 95.25, 79.38, 
##     90.72, 57.61, 72.57, 102.06, 108.86, 61.23, 86.18, 117.93, 
##     102.51, 72.57, 106.59, 68.04, 54.43, 72.57, 102.06, 74.84, 
##     79.38, 104.33, 58.97, 58.97, 97.52, 107.5, 62.14, 81.65, 
##     56.7, 90.72, 83.46, 76.2, 99.34, 49.9, 63.5, 83.01, 65.77, 
##     108.86, 136.08, 84.37, 74.84, 86.18, 72.57, 55.34, 99.79, 
##     113.4, 62.6, 72.57, 56.7, 113.4, 90.72, 97.52, 71.67, 93.89, 
##     74.84, 81.19, 70.76, 101.15, 90.72, 95.25, 109.77, 81.65, 
##     95.25, 92.08, 53.98, 56.7, 108.86, 76.66, 156.49, 87.54, 
##     106.59, 83.91, 127.01, 45.36, 99.79, 73.03, 74.84, 45.81, 
##     70.31, 117.03, 86.18, 63.5, 79.38, 85.28, 117.93, 108.86, 
##     106.59, 90.26, 105.23, 81.65, 91.63, 122.47, 59.87, 76.2, 
##     60.33, 90.72, 64.86, 77.11, 77.11, 101.15, 117.93, 92.99, 
##     56.7, 85.73, 94.35, 62.6, 74.39, 65.77, 58.97, 61.23, 80.29, 
##     97.52, 61.23, 58.51, 102.06, 58.97, 99.79, 98.43, 130.63, 
##     68.49, 99.79, 77.11, 90.72, 54.43, 73.94, 111.13, 72.57, 
##     75.75, 86.18, 53.52, 98.88, 97.52, 108.86, 63.5, 155.13, 
##     77.11, 70.31, 100.7, 96.16, 65.77, 83.91, 90.72, 86.18, 108.86, 
##     83.01, 72.57, 79.38, 99.79, 115.67, 106.59, 74.84, 111.13, 
##     76.2, 64.41, 90.72, 98.88, 120.2, 99.34, 91.17, 65.77, 99.79, 
##     69.85, 66.68, 108.86, 104.33, 84.37, 63.05, 70.76, 74.84, 
##     63.5, 89.81, 108.86, 118.39, 108.86, 51.71, 77.11, 109.77, 
##     113.4, 102.06, 81.65, 108.86, 90.72, 61.69, 54.43, 63.5, 
##     63.5, 82.1, 81.65, 70.76, 40.37, 72.57, 77.11, 96.16, 117.93, 
##     97.07, 90.72, 104.33, 81.19, 111.13, 61.23, 76.2, 81.65, 
##     90.72, 106.59, 114.31, 78.02, 111.13, 77.56, 136.08, 68.95, 
##     79.38, 113.4, 73.48, 88.45, 83.91, 68.04, 63.5, 61.23, 117.48, 
##     92.99, 127.01, 81.65, 122.47, 72.57, 122.47, 68.04, 49.9, 
##     145.15, 79.38, 72.57, 79.38, 92.99, 95.25, 85.73, 96.16, 
##     72.57, 79.38, 136.08, 145.15, 83.91, 142.88, 81.65, 74.84, 
##     74.84, 77.11, 99.79, 86.18, 56.25, 74.39, 81.19, 90.72, 102.51, 
##     94.8, 63.5, 76.66, 77.11, 78.02, 72.12, 79.38, 90.72, 90.72, 
##     81.65, 68.04, 66.68, 55.34, 90.72, 117.93, 89.81, 76.2, 56.7, 
##     56.7, 102.06, 77.11, 77.11, 61.69, 79.38, 82.55, 92.53, 55.34, 
##     68.04, 79.38, 106.59, 92.99, 102.06, 113.4, 102.06, 108.86, 
##     72.57, 98.43, 62.14, 79.38, 90.72, 131.54, 104.33, 81.65, 
##     88.45, 95.25, 68.95, 81.65, 77.11, 74.84, 107.95, 90.26, 
##     86.18, 68.04, 83.46, 78.02, 99.79, 77.11, 69.4, 99.79, 102.06, 
##     67.59, 58.97, 104.33, 99.79, 70.31, 59.87, 90.72, 71.21, 
##     72.57, 76.2, 92.99, 109.32, 86.18, 97.52, 108.86, 68.04, 
##     88.45, 65.77, 127.01, 68.04, 88.45, 100.7, 77.11, 100.7, 
##     54.43, 106.59, 61.23, 136.98, 78.47, 63.5, 90.72, 53.52, 
##     95.25, 67.13, 60.78, 74.84, 122.47, 64.41, 77.11, 99.79, 
##     83.91, 74.84, 90.72, 59.87, 102.06, 72.12, 70.31, 102.06, 
##     112.94, 65.77, 90.72, 72.57, 65.77, 61.23, 56.7, 92.99, 96.16, 
##     140.61, 60.33, 88.45, 92.08, 104.33, 52.16, 84.82, 90.72, 
##     77.11, 85.28, 66.22, 83.91, 95.25, 120.2, 86.18, 87.54, 117.93, 
##     104.33, 72.57, 76.2, 108.86, 77.11, 115.67, 83.91, 122.47, 
##     79.38, 104.33, 90.72, 63.5, 86.18, 90.72, 45.36, 72.57, 125.19, 
##     68.04, 80.74, 97.52, 79.38, 74.39, 72.57, 63.5, 88.45, 81.65, 
##     108.86, 79.38, 81.65, 82.55, 78.02, 91.63, 76.2, 124.74, 
##     106.59, 66.68, 111.13, 99.79, 87.54, 74.84, 99.79, 77.11, 
##     94.35, 111.13, 89.81, 127.01, 90.72, 68.95, 54.43, 97.52, 
##     90.72, 99.79, 131.54, 90.72, 83.91, 78.02, 77.11, 73.94, 
##     99.79, 145.15, 113.4, 97.52, 113.4, 90.72, 72.57, 104.33, 
##     86.18, 65.77, 56.7, 136.08, 72.57, 124.28, 84.82, 115.67, 
##     78.47, 83.91, 64.41, 107.05, 99.79, 74.84, 84.37, 77.11, 
##     122.47, 63.5, 86.18, 54.43, 84.82, 74.84, 117.93, 104.33, 
##     89.81, 85.28, 71.67, 68.04, 77.11, 68.04, 86.18, 68.95, 124.74, 
##     87.09, 147.42, 72.57, 83.91, 81.65, 95.25, 68.04, 72.57, 
##     40.37, 95.25, 58.51, 88.45, 76.2, 81.65, 60.78, 108.86, 77.56, 
##     104.33, 95.25, 90.72, 90.72, 89.81, 100.7, 68.04, 117.93, 
##     85.28, 65.77, 85.28, 104.33, 52.16, 90.72, 115.67, 96.62, 
##     86.18, 102.06, 83.01, 113.4, 97.52, 99.79, 77.11, 76.2, 108.86, 
##     73.94, 90.26, 47.63, 90.72, 80.74, 83.91, 95.25, 60.33, 83.91, 
##     64.41, 61.23, 120.2, 131.54, 63.5, 71.21, 72.57, 63.5, 81.19, 
##     72.57, 80.74, 109.77, 82.55, 90.72, 74.84, 90.72, 71.67, 
##     86.18, 90.72, 77.11, 66.22, 84.82, 68.49, 106.59, 83.91, 
##     106.59, 117.93, 81.65, 95.25, 72.57, 83.91, 65.77, 87.09, 
##     99.79, 54.43, 81.65, 68.04, 122.47, 77.11, 79.38, 117.93, 
##     99.79, 79.83, 63.5, 60.78, 79.38, 88.45, 88.45, 72.12, 104.33, 
##     65.77, 108.41, 126.1, 99.79, 77.11, 92.08, 80.74, 95.25, 
##     83.91, 83.46, 79.38, 92.99, 90.72, 113.4, 108.86, 104.78, 
##     105.69, 86.18, 72.57, 72.57, 95.25, 108.86, 68.04, 62.6, 
##     129.27, 54.43, 61.69, 90.72, 61.23, 101.6, 63.5, 94.8, 117.93, 
##     90.72, 81.65, 86.18, 79.38, 68.04, 102.06, 74.84, 90.72, 
##     90.72, 90.72, 122.47, 120.2, 64.41, 80.74, 74.39, 89.81, 
##     72.57, 97.98, 108.86, 63.96, 79.38, 102.06, 93.89, 72.57, 
##     68.04, 60.33, 79.38, 76.2, 56.7, 83.91, 102.06, 120.2, 68.04, 
##     129.27, 116.12, 86.18, 72.57, 108.86, 114.31, 70.31, 99.79, 
##     90.72, 57.61, 58.97, 77.11, 49.9, 90.72, 90.72, 95.25, 87.54, 
##     88.45, 102.06, 78.47, 98.43, 68.04, 91.63, 68.04, 99.79, 
##     99.79, 92.53, 61.23, 77.11, 60.33, 49.9, 65.77, 93.44, 69.85, 
##     86.18, 75.75, 68.04, 79.38, 85.73, 55.79, 81.65, 51.71, 79.83, 
##     61.23, 88.45, 117.48, 72.57, 70.31, 40.82, 75.75, 66.68, 
##     99.79, 101.15, 90.72, 74.84, 65.77, 79.38, 68.04, 102.97, 
##     86.18, 81.65, 99.79, 100.7, 59.87, 106.59, 72.57, 97.52, 
##     70.31, 91.63, 99.79, 90.26, 120.2, 102.06, 117.93, 72.57, 
##     79.83, 104.33, 91.63, 47.63, 63.05, 83.46, 90.72, 78.02, 
##     66.22, 129.27, 65.77, 92.99, 99.79, 86.18, 45.36, 72.57, 
##     81.65, 95.71, 73.03, 89.81, 79.83, 108.86, 108.86, 113.4, 
##     71.67, 88.45, 62.6, 79.38, 84.82, 95.25, 94.35, 99.79, 99.79, 
##     49.9, 58.97, 89.36, 72.57, 80.29, 82.55, 72.57, 58.97, 72.57, 
##     61.69, 104.33, 86.18, 76.2, 97.98, 58.97, 90.72, 95.71, 81.65, 
##     68.95, 83.91, 77.11, 58.97, 70.31, 63.5, 90.72, 80.29, 102.06, 
##     104.33, 68.04, 72.12, 122.47, 77.11, 121.56, 99.34, 62.14, 
##     117.93, 62.6, 74.84, 108.86, 74.84, 83.01, 90.72, 78.02, 
##     83.91, 102.97, 106.59, 70.76, 108.86, 66.68, 99.79, 157.4, 
##     68.04, 72.57, 95.25, 95.25, 97.52, 108.86, 79.38, 83.91, 
##     72.57, 65.32, 91.17, 136.08, 145.15, 96.62, 65.77, 48.99, 
##     72.57, 63.5, 111.13, 80.29, 71.67, 95.25, 68.95, 72.57, 90.72, 
##     83.46, 104.33, 68.04, 70.31, 74.84, 127.01, 77.11, 79.38, 
##     94.35, 81.65, 90.72, 106.59, 84.82, 94.8, 112.49, 86.18, 
##     68.04, 83.91, 79.38, 61.23, 81.65, 90.72, 96.16, 54.43, 112.94, 
##     117.93, 83.01, 77.11, 65.77, 77.11, 96.16, 50.35, 65.77, 
##     88.45, 82.55, 149.69, 104.33, 55.79, 92.99, 90.72, 69.85, 
##     125.65, 74.84, 81.65, 113.4, 54.43, 90.72, 117.93, 84.37, 
##     106.59, 104.33, 120.2, 83.91, 79.83, 111.13, 81.65, 90.72, 
##     104.33, 65.77, 143.79, 72.57, 99.79, 113.4, 77.56, 138.35, 
##     72.57, 81.65, 61.23, 108.86, 58.97, 131.54, 147.42, 73.94, 
##     83.01, 102.97, 58.97, 58.97, 90.72, 90.72, 104.33, 71.67, 
##     127.91, 63.5, 101.6, 83.91, 90.72, 166.92, 79.38, 81.19, 
##     79.38, 59.87, 115.67, 64.86, 82.55, 99.79, 90.72, 81.65, 
##     80.74, 104.33, 68.04, 77.11, 99.79, 78.02, 98.43, 64.86, 
##     90.72, 77.11, 133.81, 95.25, 58.97, 79.38, 106.59, 90.26, 
##     86.18, 90.72, 105.23, 117.93, 81.65, 104.33, 111.13, 104.33, 
##     122.47, 108.86, 53.52, 88.9, 98.43, 79.38, 101.15, 72.57, 
##     77.11, 88.45, 79.38, 77.56, 102.06, 108.86, 76.2, 87.54, 
##     79.38, 101.6, 71.67, 68.04, 70.31, 91.17, 70.31, 77.11, 108.86, 
##     90.72, 92.99, 176.9, 113.4, 77.11, 117.93, 77.11, 50.35, 
##     73.48, 90.72, 90.72, 124.74, 81.65, 108.86, 70.31, 81.65, 
##     63.5, 181.44, 108.86, 79.38, 77.11, 123.38, 54.43, 102.06, 
##     77.11, 122.47, 108.86, 96.62, 61.23, 95.25, 104.33, 66.68, 
##     61.23, 89.81, 74.84, 86.18, 78.02, 143.79, 81.65, 97.98, 
##     66.68, 88.45, 86.18, 46.27, 55.79, 77.11, 95.25, 124.28, 
##     90.26, 62.14, 74.84, 113.4, 58.97, 96.16, 102.06, 46.27, 
##     102.06, 92.99, 102.06, 99.79, 117.93, 117.93, 70.31, 117.93, 
##     75.75, 115.67, 108.86, 95.25, 90.72, 72.57, 73.48, 92.53, 
##     68.95, 174.63, 88.45, 66.22, 102.06, 52.16, 105.23, 154.22, 
##     115.67, 74.84, 90.72, 103.42, 81.65, 95.25, 77.11, 95.25, 
##     79.38, 78.02, 97.07, 104.33, 68.04, 90.72, 74.84, 72.57, 
##     87.54, 61.23, 68.04, 86.18, 81.65, 122.92, 77.11, 49.9, 111.13, 
##     63.5, 76.66, 86.18, 108.86, 68.04, 65.77, 68.04, 82.55, 122.47, 
##     106.59, 44.45, 68.04, 140.61, 129.27, 74.84, 68.04, 74.84, 
##     62.6, 80.29, 90.72, 95.25, 68.95, 122.47, 83.91, 76.2, 83.91, 
##     73.48, 53.98, 81.65, 93.89, 108.86, 136.08, 95.25, 73.48, 
##     83.91, 71.67, 80.74, 72.57, 70.31, 72.57, 48.99, 113.4, 79.38, 
##     77.11, 86.18, 74.84, 63.5, 104.78, 79.38, 88.9, 95.25, 131.54, 
##     81.65, 83.01, 77.11, 68.04, 79.38, 72.57, 81.65, 77.11, 108.86, 
##     80.74, 83.91, 86.18, 65.77, 113.4, 77.56, 95.25, 97.52, 78.93, 
##     102.06, 113.4, 46.72, 86.18, 97.52, 75.75, 77.11, 67.13, 
##     70.76, 68.95, 48.53, 77.11, 95.25, 124.74, 53.98, 104.33, 
##     114.31, 104.33, 92.53, 81.65, 85.73, 104.33, 72.57, 94.35, 
##     81.65, 73.94, 95.25, 88.45, 112.49, 65.77, 99.79, 81.65, 
##     81.65, 68.95, 72.57, 90.72, 86.18, 104.33, 95.25, 90.72, 
##     57.15, 63.96, 43.09, 75.3, 97.52, 81.65, 124.74, 77.11, 102.97, 
##     99.79, 92.08, 49.9, 106.59, 74.84, 79.38, 111.13, 72.57, 
##     85.73, 50.8, 92.99, 81.65, 79.38, 65.77, 111.13, 104.33, 
##     99.79, 86.18, 48.99, 104.33, 63.5, 86.18, 72.57, 69.85, 98.43, 
##     70.31, 77.11, 78.93, 86.18, 75.75, 83.91, 70.31, 108.86, 
##     86.18, 111.13, 104.33, 86.18, 155.58, 88.45, 113.4, 124.74, 
##     108.86, 93.44, 49.9, 81.65, 88, 68.04, 86.18, 54.43, 94.35, 
##     92.53, 60.78, 86.18, 81.65, 81.65, 72.57, 68.04, 56.7, 88.9, 
##     74.84, 88.45, 86.18, 70.76, 61.23, 63.5, 47.63, 70.31, 67.13, 
##     90.72, 127.01, 79.38, 61.23, 97.52, 97.52, 104.33, 109.77, 
##     99.79, 74.84, 104.33, 123.38, 63.5, 63.5, 86.18, 58.97, 77.11, 
##     99.79, 88.45, 56.7, 97.52, 90.72, 174.63, 113.4, 103.87, 
##     90.26, 99.79, 122.47, 102.06, 74.39, 89.81, 72.12, 65.77, 
##     90.72, 84.82, 90.72, 95.25, 154.22, 88.9, 95.25, 158.76, 
##     86.18, 95.25, 58.97, 102.06, 61.23, 72.57, 104.33, 79.38, 
##     68.04, 61.23, 88.45, 98.43, 113.4, 90.72, 86.18, 108.86, 
##     81.65, 54.43, 79.38, 86.18, 66.22, 89.81, 83.91, 88.9, 83.91, 
##     64.41, 56.7, 90.72, 68.04, 88.45, 90.72, 88.45, 77.11, 88.45, 
##     120.2, 94.8, 68.49, 103.42, 92.99, 131.09, 95.25, 86.18, 
##     65.77, 122.47, 92.53, 99.79, 90.72, 63.05, 83.91, 46.27, 
##     129.27, 49.9, 77.11, 102.06, 62.14, 88.45, 72.57, 92.99, 
##     79.38, 136.08, 95.25, 63.5, 84.82, 94.8, 73.48, 57.15, 77.11, 
##     79.38, 127.01, 54.43, 58.06, 81.65, 68.04, 99.79, 90.72, 
##     127.01, 104.33, 107.05, 90.72, 77.11, 72.57, 83.91, 88.45, 
##     57.61, 108.86, 44.45, 69.85, 52.62, 99.79, 99.79, 86.18, 
##     72.57, 122.47, 106.59, 86.18, 76.2, 91.63, 75.75, 54.43, 
##     68.04, 130.18, 72.12, 113.4, 90.72, 100.7, 115.21, 79.38, 
##     131.54, 172.37, 79.38, 113.4, 95.25, 83.91, 92.99, 95.25, 
##     70.31, 103.42, 99.79, 76.2, 78.02, 61.23, 231.79, 65.77, 
##     92.53, 62.14, 60.33, 103.42, 88.45, 92.99, 81.65, 158.76, 
##     63.96, 145.6, 99.79, 61.23, 83.46, 108.86, 99.79, 67.59, 
##     113.4, 86.18, 67.13, 59.87, 90.72, 90.72, 104.33, 91.17, 
##     77.11, 68.04, 71.67, 90.72, 92.99, 86.18, 89.81, 114.31, 
##     74.84, 89.36, 48.53, 90.72, 81.65, 81.65, 149.69, 56.7, 142.88, 
##     136.08, 74.84, 113.4, 158.3, 90.72, 104.33, 122.47, 44.45, 
##     73.03, 72.57, 72.12, 96.16, 81.65, 102.06, 108.86, 116.12, 
##     146.96, 34.47, 81.65, 82.55, 65.77, 45.36, 79.38, 58.06, 
##     73.03, 83.91, 86.18, 77.11, 124.74, 102.06, 124.74, 81.65, 
##     54.43, 77.11, 77.11, 79.38, 55.79, 88.45, 89.81, 86.18, 74.39, 
##     108.86, 81.65, 85.73, 83.91, 106.14, 113.4, 99.79, 71.21, 
##     81.65, 92.99, 145.15, 74.84, 104.33, 106.59, 90.72, 79.38, 
##     72.57, 97.52, 78.93, 58.97, 44.45, 77.11, 83.91, 63.5, 78.47, 
##     88.9, 87.09, 74.84, 73.94, 81.65, 108.41, 87.09, 54.43, 83.91, 
##     65.32, 86.18, 145.15, 104.33, 43.09, 99.34, 99.79, 70.31, 
##     65.77, 77.11, 90.72, 80.74, 95.25, 81.65, 81.65, 68.04, 67.13, 
##     105.69, 77.11, 97.52, 65.77, 124.74, 74.84, 72.57, 83.01, 
##     83.91, 102.97, 90.72, 68.04, 97.52, 70.31, 95.25, 80.74, 
##     99.79, 49.9, 117.93, 63.5, 81.65, 86.18, 95.25, 90.72, 90.72, 
##     108.86, 104.33, 49.9, 131.54, 108.86, 58.97, 61.23, 124.74, 
##     77.11, 69.4, 108.86, 52.16, 77.11, 68.04, 111.13, 77.11, 
##     105.23, 64.41, 104.33, 63.96, 163.29, 86.18, 72.57, 81.65, 
##     136.08, 95.25, 126.55, 83.91, 102.51, 50.8, 63.5, 61.23, 
##     68.04, 68.04, 65.77, 80.74, 105.23, 86.18, 58.06, 88.9, 99.79, 
##     91.17, 110.68, 89.81, 72.57, 86.18, 155.13, 83.91, 69.4, 
##     77.11, 86.64, 88, 78.02, 63.5, 70.31, 172.37, 68.95, 72.57, 
##     90.72, 229.97, 60.33, 86.18, 86.18, 117.93, 90.72, 79.38, 
##     83.91, 96.16, 165.11, 40.82, 122.47, 102.97, 107.95, 102.06, 
##     90.72, 72.57, 72.57, 74.84, 68.04, 74, 104.33, 65.77, 104.78, 
##     77.11, 65.32, 94.8, 47.63, 68.04, 108.86, 81.65, 154.22, 
##     90.72, 75.3, 81.65, 65.77, 90.72, 68.04, 79.83, 73.03, 127.01, 
##     90.72, 142.43, 94.8, 79.38, 78.02, 113.4, 92.99, 61.23, 94.35, 
##     113.4, 92.53, 63.5, 70.31, 72.12, 142.88, 104.33, 78.02, 
##     104.33, 83.91, 77.11, 77.11, 66.22, 40.82, 92.99, 112.04, 
##     81.65, 48.53, 89.36, 79.38, 90.72, 47.17, 102.97, 81.65, 
##     113.4, 127.01, 81.65, 79.38, 74.84, 52.62, 77.11, 127.01, 
##     45.36, 74.84, 83.91, 86.18, 72.57, 83.91, 77.11, 104.33, 
##     158.76, 81.65, 111.13, 84.82, 67.13, 111.13, 98.43, 86.18, 
##     74.84, 98.43, 38.1, 111.13, 134.26, 99.79, 113.4, 58.97, 
##     50.35, 93.89, 71.21, 68.04, 65.77, 97.52, 77.11, 70.31, 149.69, 
##     104.33, 108.86, 72.57, 58.97, 113.4, 86.18, 85.73, 63.5, 
##     81.65, 64.41, 83.46, 62.14, 99.79, 81.65, 74.84, 99.79, 97.52, 
##     111.13, 78.93, 124.74, 70.31, 63.5, 58.97, 69.4, 134.72, 
##     102.51, 81.65, 103.42, 99.79, 61.23, 63.96, 89.81, 79.38, 
##     74.84, 77.11, 79.38, 88.45, 111.58, 73.03, 63.5, 90.72, 102.06, 
##     49.9, 68.04, 99.79, 99.79, 107.5, 83.91, 108.86, 58.97, 72.57, 
##     78.47, 63.5, 106.59, 95.25, 142.88, 83.91, 86.18, 117.93, 
##     102.06, 58.97, 40.82, 120.2, 38.1, 74.84, 90.72, 79.38, 61.23, 
##     62.6, 104.33, 82.55, 55.34, 124.74, 108.86, 176.9, 99.79, 
##     31.75, 77.11, 52.62, 86.18, 93.44, 95.25, 127.01, 72.57, 
##     88.45, 72.57, 74.84, 97.52, 86.18, 68.04, 55.34, 68.04, 83.91, 
##     104.33, 81.65, 97.07, 86.18, 120.2, 65.77, 47.17, 74.84, 
##     66.22, 77.11, 74.84, 138.35, 99.79, 81.65, 81.65, 79.38, 
##     108.86, 58.97, 136.08, 72.12, 83.91, 96.16, 72.57, 125.19, 
##     54.43, 124.74, 95.25, 58.97, 77.11, 79.38, 81.65, 92.53, 
##     56.7, 83.91, 117.03, 80.29, 63.05, 108.86, 81.65, 117.93, 
##     65.77, 86.18, 102.06, 64.86, 156.04, 113.4, 137.89, 70.76, 
##     113.4, 105.69, 63.5, 104.33, 63.5, 120.2, 51.71, 93.44, 104.33, 
##     68.04, 83.01, 127.01, 73.94, 45.81, 91.17, 90.72, 113.4, 
##     90.72, 52.16, 91.17, 83.91, 81.65, 66.22, 113.4, 71.67, 68.95, 
##     74.84, 67.59, 83.46, 85.73, 92.99, 97.52, 100.7, 131.54, 
##     88.9, 68.04, 113.4, 79.38, 86.64, 83.91, 73.94, 83.46, 81.65, 
##     90.72, 90.72, 108.86, 100.7, 127.01, 58.97, 77.11, 99.79, 
##     72.57, 58.97, 82.55, 83.91, 89.36, 104.78, 74.39, 78.93, 
##     102.06, 72.57, 68.04, 61.69, 124.74, 102.06, 89.36, 77.11, 
##     81.65, 68.04, 58.97, 79.38, 95.25, 170.1, 54.43, 90.72, 92.99, 
##     83.46, 53.52, 54.88, 68.04, 90.72, 81.65, 97.52, 108.86, 
##     74.84, 57.61, 108.86, 108.86, 54.43, 66.68, 58.97, 81.65, 
##     58.97, 117.03, 53.52, 77.11, 78.02, 70.76, 113.4, 115.67, 
##     65.77, 111.13, 90.72, 72.57, 104.33, 58.97, 68.49, 63.5, 
##     82.55, 99.79, 89.81, 81.65, 65.77, 108.86, 72.12, 72.57, 
##     80.29, 72.57, 97.07, 86.18, 70.31, 120.2, 90.72, 92.99, 86.18, 
##     58.97, 118.84, 83.91, 57.61, 71.67, 115.21, 79.38, 78.93, 
##     113.4, 90.72, 90.72, 72.57, 90.72, 81.19, 85.28, 127.01, 
##     72.57, 95.25, 72.57, 62.14, 83.91, 93.44, 68.04, 65.77, 99.79, 
##     86.18, 52.62, 92.99, 78.93, 90.72, 90.72, 108.86, 81.65, 
##     76.2, 113.4, 70.31, 78.47, 69.85, 104.33, 99.79, 72.57, 74.84, 
##     124.74, 97.52, 86.64, 45.36, 83.91, 73.48, 68.04, 95.25, 
##     46.72, 61.23, 108.86, 108.86, 109.77, 104.33, 81.65, 73.03, 
##     106.59, 73.94, 86.18, 86.18, 74.84, 72.57, 112.49, 61.23, 
##     54.43, 85.28, 68.04, 63.5, 63.5, 88.45, 61.23, 102.06, 113.4, 
##     68.04, 68.04, 113.4, 79.83, 52.62, 54.43, 88.45, 71.67, 86.18, 
##     108.86, 78.47, 84.82, 106.59, 82.55, 90.72, 67.13, 67.13, 
##     79.38, 72.57, 60.78, 83.91, 72.57, 61.23, 113.4, 65.77, 117.93, 
##     89.36, 50.8, 79.38, 62.6, 99.79, 70.31, 68.49, 108.86, 72.57, 
##     58.97, 81.65, 122.92, 97.52, 72.57, 77.11, 70.31, 83.46, 
##     83.91, 46.72, 58.97, 104.33, 117.93, 49.9, 74.84, 83.91, 
##     72.57, 63.5, 99.79, 113.4, 48, 84.82, 96.62, 104.33, 74.84, 
##     71.67, 61.69, 113.4, 70.31, 94.8, 90.72, 77.11, 90.72, 79.38, 
##     82.1, 83.46, 131.54, 99.79, 133.81, 69.85, 77.11, 74.84, 
##     90.72, 136.08, 77.11, 95.25, 92.99, 97.52, 92.53, 136.08, 
##     54.88, 81.19, 56.25, 80.74, 95.25, 52.62, 72.57, 77.11, 108.86, 
##     117.93, 124.74, 54.43, 81.65, 77.11, 77.11, 122.47, 99.79, 
##     81.19, 174.63, 114.31, 68.04, 83.91, 68.04, 61.23, 86.18, 
##     92.99, 86.18, 102.51, 62.6, 122.47, 86.18, 117.93, 107.95, 
##     127.01, 115.67, 95.25, 93.44, 83.91, 83.91, 79.38, 77.11, 
##     111.13, 163.29, 46.27, 92.99, 81.65, 96.16, 68.04, 99.79, 
##     154.22, 83.91, 113.4, 102.06, 113.4, 122.47, 172.37, 159.66, 
##     58.97, 72.57, 83.01, 54.43, 74.84, 122.47, 72.57, 81.65, 
##     48.99, 92.53, 77.11, 108.86, 90.72, 97.52, 59.87, 61.23, 
##     83.91, 81.65, 77.11, 68.04, 136.08, 129.73, 77.11, 133.81, 
##     52.62, 58.97, 90.72, 99.79, 70.31, 92.99, 55.79, 86.18, 77.11, 
##     75.75, 95.25, 102.06, 68.04, 102.06, 82.55, 58.97, 52.16, 
##     56.7, 91.17, 81.65, 58.97, 79.38, 77.11, 80.74, 113.4, 90.26, 
##     86.18, 101.6, 77.11, 64.41, 70.31, 72.57, 74.84, 90.72, 54.43, 
##     66.68, 65.77, 97.52, 108.41, 68.04, 55.34, 88, 89.81, 63.5, 
##     90.72, 130.18, 65.77, 112.04, 98.88, 95.25, 86.18, 99.79, 
##     124.74, 86.18, 77.11, 129.73, 71.67, 49.9, 62.6, 98.43, 75.3, 
##     68.04, 67.13, 72.57, 102.06, 79.38, 72.57, 99.79, 53.98, 
##     73.48, 112.49, 124.74, 79.83, 107.95, 68.04, 72.57, 92.08, 
##     46.27, 97.52, 70.31, 56.7, 97.52, 115.21, 74.84, 90.72, 50.35, 
##     59.42, 106.14, 77.11, 61.23, 102.06, 122.47, 83.46, 154.22, 
##     74.84, 90.72, 94.35, 95.25, 90.72, 77.11, 84.37, 97.52, 108.86, 
##     54.88, 105.23, 115.67, 49.9, 145.15, 66.22, 127.01, 90.72, 
##     97.52, 65.32, 97.52, 79.38, 90.72, 77.11, 72.57, 113.4, 83.91, 
##     86.18, 136.08, 65.32, 108.86, 106.59, 88.45, 90.72, 63.5, 
##     136.08, 104.33, 83.46, 88, 173.27, 65.77, 72.57, 63.5, 124.74, 
##     136.08, 68.04, 88.45, 73.94, 104.78, 81.65, 90.72, 63.5, 
##     72.57, 58.97, 83.46, 86.18, 94.8, 77.11, 56.7, 55.79, 77.11, 
##     92.99, 83.91, 74.84, 83.91, 131.54, 90.72, 99.79, 117.93, 
##     91.63, 74.84, 74.39, 54.43, 72.57, 70.31, 92.99, 77.11, 99.79, 
##     89.36, 76.2, 102.06, 74.84, 87.54, 81.65, 49.9, 108.86, 127.01, 
##     99.79, 58.97, 68.95, 80.29, 82.1, 86.18, 65.77, 99.79, 90.72, 
##     68.04, 99.79, 48.53, 104.33, 73.48, 107.95, 73.48, 56.7, 
##     86.18, 74.39, 97.52, 113.4, 88.9, 80.29, 73.94, 81.65, 51.26, 
##     63.5, 83.91, 77.11, 88.45, 86.18, 81.65, 86.18, 87.09, 79.38, 
##     73.94, 106.59, 58.97, 86.18, 120.2, 70.31, 104.33, 86.18, 
##     84.37, 95.25, 52.16, 90.72, 118.39, 104.33, 76.66, 74.84, 
##     83.91, 79.38, 104.33, 73.03, 81.65, 49.44, 86.18, 82.55, 
##     102.06, 90.72, 90.72, 104.33, 48.53, 56.7, 95.25, 90.72, 
##     63.5, 87.09, 144.24, 88.45, 110.68, 81.65, 74.84, 55.34, 
##     84.37, 90.72, 86.18, 111.58, 108.86, 83.46, 143.34, 104.33, 
##     81.65, 105.23, 86.18, 90.72, 85.73, 83.01, 86.18, 72.57, 
##     88, 83.91, 54.43, 104.33, 166.92, 90.72, 99.79, 65.77, 80.29, 
##     77.56, 63.96, 68.04, 63.5, 91.63, 83.46, 82.1, 158.76, 81.65, 
##     113.4, 99.34, 68.04, 65.77, 67.13, 120.2, 68.04, 73.94, 55.34, 
##     95.25, 92.08, 74.84, 88.45, 106.59, 104.33, 76.2, 86.18, 
##     86.18, 127.01, 79.38, 61.69, 68.04, 72.57, 89.81, 79.38, 
##     68.04, 63.5, 103.42, 99.79, 106.59, 77.11, 81.19, 79.38, 
##     68.04, 106.59, 145.15, 120.2, 120.2, 53.07, 93.89, 91.63, 
##     113.4, 95.25, 102.06, 95.25, 55.79, 97.52, 61.69, 86.18, 
##     68.04, 81.65, 99.79, 90.72, 95.25, 149.69, 80.74, 77.11, 
##     108.86, 79.83, 98.88, 88, 68.04, 62.6, 78.02, 40.82, 77.11, 
##     117.93, 90.72, 76.66, 64.86, 113.4, 81.65, 113.4, 90.72, 
##     87.09, 98.43, 81.65, 62.6, 58, 68.04, 136.08, 58.97, 90.72, 
##     56.7, 71.21, 106.59, 108.86, 79.38, 90.72, 68.04, 95.25, 
##     77.11, 103.42, 86.18, 100.24, 54.43, 97.52, 83.01, 83.91, 
##     73.94, 79.38, 39.92, 65.77, 106.59, 95.25, 81.65, 86.18, 
##     89.81, 76.2, 110.22, 56.25, 86.18, 88.45, 127.01, 81.65, 
##     90.72, 61.23, 68.95, 97.98, 86.18, 95.25, 102.06, 58.97, 
##     77.11, 86.18, 68.04, 72.57, 51.71, 90.72, 80.74, 92.99, 86.18, 
##     121.11, 95.25, 79.38, 63.5, 102.06, 88.45, 108.86, 127.01, 
##     94.35, 68.04, 68.04, 58.51, 61.23, 49.9, 181.44, 72.12, 81.19, 
##     74.84, 74.84, 54.43, 133.81, 81.65, 90.72, 88.45, 56.7, 90.72, 
##     128.82, 115.67, 79.38, 51.26, 73.48, 51.26, 77.11, 77.11, 
##     77.11, 156.49, 92.53, 92.99, 79.38, 81.65, 56.7, 104.33, 
##     84.82, 100.24, 68.04, 47.63, 113.4, 99.79, 70.76, 83.91, 
##     74.84, 68.04, 99.79, 99.79, 92.53, 141.52, 99.79, 66.68, 
##     72.57, 112.49, 86.18, 74.84, 65.77, 81.65, 54.43, 63.5, 90.72, 
##     102.06, 77.11, 104.33, 60.78, 70.76, 76.2, 74.84, 86.18, 
##     138.35, 90.72, 90.72, 75.75, 90.72, 90.72, 88.9, 64.41, 44.45, 
##     82.55, 122.47, 113.4, 81.19, 68.04, 136.08, 72.57, 74.84, 
##     117.93, 95.25, 113.4, 84.82, 68.04, 94.8, 56.7, 63.5, 64.41, 
##     175.09, 81.65, 83.46, 81.65, 68.04, 102.51, 136.08, 58.06, 
##     117.93, 104.33, 86.18, 63.5, 108.86, 90.72, 86.18, 111.58, 
##     82.55, 97.52, 90.72, 84.37, 99.79, 108.86, 78.93, 99.79, 
##     60.78, 109.77, 63.5, 71.67, 118.84, 67.13, 81.65, 81.65, 
##     63.5, 81.65, 68.49, 68.04, 56.7, 68.04, 82.1, 136.08, 93.44, 
##     78.02, 102.97, 86.18, 122.47, 90.72, 104.33, 73.03, 74.84, 
##     119.75, 81.19, 63.5, 92.08, 113.85, 70.76, 104.33, 122.47, 
##     113.4, 70.31, 136.08, 140.61, 65.77, 58.97, 81.65, 102.06, 
##     97.52, 90.72, 72.57, 54.43, 83.91, 70.31, 117.93, 93.89, 
##     90.72, 50.8, 92.08, 83.91, 81.65, 113.4, 74.84, 97.98, 73.48, 
##     82.1, 72.57, 86.18, 79.38, 106.59, 68.04, 136.08, 129.27, 
##     86.18, 73.94, 47.17, 99.79, 70.31, 81.65, 95.25, 72.57, 104.33, 
##     81.65, 102.06, 104.33, 117.93, 99.79, 95.25, 74.84, 79.38, 
##     86.18, 75.75, 102.97, 88.9, 90.72, 86.18, 68.04, 81.65, 63.5, 
##     127.01, 90.72, 104.33, 104.33, 74.84, 104.33, 60.33, 92.99, 
##     95.25, 117.03, 95.25, 106.59, 90.72, 101.15, 56.7, 111.13, 
##     68.04, 95.25, 62.6, 80.29, 86.18, 72.57, 93.89, 95.25, 73.48, 
##     68.04, 90.72, 76.66, 83.91, 78.02, 107.05, 91.63, 97.52, 
##     56.7, 91.17, 63.05, 57.15, 79.38, 79.38, 181.44, 89.81, 97.52, 
##     99.79, 99.79, 74.84, 98.88, 91.17, 140.61, 81.65, 131.54, 
##     88.45, 80.74, 92.99, 108.86, 68.04, 90.72, 108.86, 47.63, 
##     117.93, 68.04, 66.68, 102.06, 115.67, 85.73, 99.79, 90.72, 
##     86.18, 90.72, 127.01, 77.11, 79.38, 99.79, 73.48, 81.65, 
##     58.97, 117.93, 100.7, 92.53, 90.72, 72.57, 108.41, 108.86, 
##     108.86, 68.04, 77.11, 62.14, 88.45, 74.84, 113.4, 61.69, 
##     82.55, 85.73, 69.4, 115.67, 89.36, 135.62, 58.97, 78.93, 
##     70.31, 92.99, 63.5, 136.08, 91.63, 79.38, 63.5, 80.74, 83.91, 
##     72.57, 74.84, 49.9, 56.25, 96.62, 88.45, 133.81, 77.11, 111.13, 
##     117.03, 70.31, 68.04, 46.72, 62.6, 90.72, 90.72, 77.11, 131.09, 
##     58.97, 65.77, 88.45, 68.04, 90.72, 85.28, 79.38, 73.48, 95.25, 
##     62.6, 117.93, 61.23, 108.86, 90.26, 92.99, 99.79, 84.37, 
##     71.67, 172.37, 81.65, 85.73, 97.52, 66.68, 102.06, 68.04, 
##     99.79, 86.18, 97.07, 90.72, 58.51, 120.2, 115.67, 99.79, 
##     86.18, 108.86, 89.36, 76.66, 120.2, 104.33, 83.91, 86.18, 
##     68.04, 70.31, 104.33, 127.01, 97.52, 124.74, 90.72, 113.4, 
##     95.25, 58.97, 117.93, 99.79, 83.91, 97.52, 83.91, 108.86, 
##     97.98, 61.23, 107.95, 100.24, 83.91, 73.94, 77.11, 87.09, 
##     92.99, 63.5, 71.67, 117.93, 102.06, 95.25, 79.38, 108.86, 
##     61.23, 53.52, 81.65, 77.11, 68.04, 68.95, 77.11, 55.34, 81.65, 
##     79.38, 96.16, 98.43, 99.79, 46.72, 99.79, 81.65, 56.7, 95.25, 
##     130.63, 91.17, 58.97, 77.56, 104.33, 73.94, 72.57, 56.25, 
##     90.72, 65.32, 83.46, 65.32, 61.23, 81.65, 53.98, 88.45, 100.7, 
##     106.59, 70.31, 54.43, 51.71, 82.55, 68.95, 81.65, 79.38, 
##     67.59, 63.5, 122.47, 84.82, 83.91, 65.77, 68.04, 63.5, 117.93, 
##     86.18, 93.44, 79.38, 113.4, 73.48, 58.97, 81.65, 63.05, 89.81, 
##     69.85, 79.83, 68.04, 79.38, 70.31, 92.53, 70.31, 72.57, 113.4, 
##     86.18, 72.57, 90.72, 131.54, 78.93, 97.07, 136.08, 97.52, 
##     95.25, 72.12, 56.25, 133.81, 127.01, 56.7, 71.67, 74.84, 
##     106.14, 81.65, 113.4, 69.85, 124.74, 68.04, 113.4, 52.16, 
##     90.72, 72.57, 67.13, 97.98, 81.65, 72.57, 63.5, 113.4, 170.1, 
##     83.91, 108.86, 63.5, 90.72, 136.08, 99.79, 105.23, 88, 74.84, 
##     98.88, 83.91, 90.72, 88.45, 70.31, 63.5, 68.04, 45.36, 79.38, 
##     76.2, 99.79, 104.33, 95.25, 79.38, 117.93, 67.59, 73.48, 
##     101.15, 111.13, 73.03, 113.4, 90.72, 90.72, 56.7, 85.28, 
##     72.57, 70.31, 73.94, 85.73, 73.94, 88.9, 74.84, 74.84, 86.18, 
##     95.25, 92.99, 107.95, 81.65, 81.65, 104.33, 106.59, 52.16, 
##     68.95, 140.61, 72.12, 86.18, 108.86, 86.18, 70.31, 65.77, 
##     56.7, 61.23, 73.48, 90.72, 81.65, 104.33, 83.91, 72.57, 113.85, 
##     58.97, 86.18, 74.84, 54.43, 79.38, 99.79, 117.93, 78.47, 
##     81.65, 98.88, 63.5, 117.93, 99.79, 90.72, 68.49, 113.4, 72.57, 
##     158.76, 90.72, 72.57, 83.91, 90.72, 46.72, 52.16, 70.31, 
##     72.57, 65.77, 81.19, 68.04, 74.84, 99.79, 72.57, 96.62, 98.88, 
##     106.59, 86.18, 88.45, 124.74, 83.91, 95.25, 65.77, 64.41, 
##     99.79, 72.57, 89.36, 78.02, 57.61, 81.65, 81.65, 113.4, 118.84, 
##     72.57, 126.1, 108.86, 72.57, 88.45, 84.82, 92, 79.38, 53.98, 
##     63.5, 111.13, 73.48, 92.99, 88.45, 99.79, 92.53, 85.73, 81.65, 
##     99.79, 81.65, 83.46, 56.7, 90.72, 70.31, 108.86, 94.35, 52.16, 
##     86.18, 102.06, 79.83, 83.91, 104.33, 96.62, 108.86, 79.38, 
##     90.72, 83.46, 102.51, 69.4, 102.97, 122.47, 78.93, 56.7, 
##     61.23, 121.56, 83.91, 77.11, 113.4, 77.11, 101.6, 63.5, 77.11, 
##     83.46, 68.04, 70.31, 111.13, 99.79, 102.06, 124.28, 65.77, 
##     122.47, 86.18, 68.04, 86.18, 83.91, 108.86, 84.82, 117.93, 
##     104.33, 86.18, 103.42, 108.86, 63.96, 108.86, 77.11, 51.71, 
##     58.97, 120.2, 58.06, 117.93, 72.57, 111.13, 86.18, 122.47, 
##     83.91, 63.5, 108.86, 56.7, 127.01, 92.53, 106.59, 81.65, 
##     77.11, 81.65, 84.37, 102.51, 80.74, 90.72, 86.18, 117.93, 
##     81.65, 108.86, 53.52, 94.35, 90.72, 77.11, 99.79, 107.05, 
##     66.22, 115.67, 77.11, 53.07, 65.77, 81.65, 104.33, 79.38, 
##     106.59, 52.62, 78.02, 81.65, 86.18, 90.72, 76.2, 54.43, 113.4, 
##     84.37, 86.18, 63.05, 49.9, 86.18, 85.73, 74.84, 90.72, 63.5, 
##     104.33, 102.06, 70.31, 117.93, 90.72, 86.18, 88, 75.75, 63.5, 
##     54.43, 74.84, 88, 115.67, 75.3, 90.72, 78.02, 113.4, 79.38, 
##     88.45, 120.2, 118, 68.04, 59.87, 72.57, 86.64, 90.72, 92.99, 
##     89.81, 68.04, 102.06, 89.81, 65.32, 99.79, 86.18, 86.18, 
##     96.16, 74.39, 86.18, 99.34, 69.85, 52.16, 97.52, 80.29, 68.95, 
##     81.19, 63.5, 90.72, 97.52, 68.04, 115.67, 108.86, 90.72, 
##     90.72, 86.18, 126.1, 88.45, 54.43, 104.33, 90.72, 51.26, 
##     88.9, 79.38, 90.72, 78.02, 68.04, 117.93, 93.89, 77.11, 95.25, 
##     95.25, 67.59, 131.54, 122.47, 90.72, 88.45, 80.74, 86.18, 
##     63.5, 63.5, 81.65, 56.25, 85.73, 108.86, 81.65, 117.93, 108.86, 
##     81.65, 72.57, 104.33, 86.18, 177.81, 79.38, 74.84, 90.72, 
##     81.65, 81.65, 106.59, 113.4, 63.5, 50.8, 113.4, 51.26, 97.07, 
##     117.93, 58.97, 129.27, 72.57, 108.86, 74.84, 91.63, 58.97, 
##     68.04, 52.16, 88.9, 117.03, 87.09, 85.28, 113.4, 89.36, 83.91, 
##     127.01, 99.79, 81.65, 99.79, 44, 86.18, 74.84, 102.97, 88.45, 
##     98.88, 82.1, 68.95, 104.78, 65.77, 81.19, 61.23, 72.57, 112.49, 
##     77.11, 70.31, 66.68, 83.46, 102.06, 81.65, 81.65, 65.77, 
##     92.99, 77.11, 83.91, 108.86, 108.86, 85.73, 136.53, 122.47, 
##     102.06, 77.11, 118.84, 95.25, 88.45, 113.4, 100.7, 102.06, 
##     90.72, 68.04, 56.7, 88.45, 77.11, 74.39, 68.95, 81.65, 104.33, 
##     81.65, 69.4, 113.4, 72.57, 90.72, 155.13, 83.91, 108.86, 
##     98.43, 77.11, 58.97, 94.35, 85.28, 80.74, 77.11, 90.72, 68.04, 
##     54.43, 65.77, 117.93, 68.04, 77.11, 90.72, 92.53, 68.04, 
##     108.86, 102.06, 57.61, 113.85, 77.11, 114.31, 90.72, 86.18, 
##     104.33, 58.97, 61.23, 73.03, 68.04, 90.72, 105.23, 89.81, 
##     107.95, 87.09, 68.04, 63.5, 113.4, 81.65, 88.45, 127.01, 
##     90.72, 74.84, 74.84, 81.65, 92.99, 102.06, 119.75, 114.76, 
##     120.2, 77.11, 84.37, 107.95, 83.91, 58.97, 87.54, 68.04, 
##     54.43, 113.4, 80.74, 85.28, 90.72, 93.89, 77.11, 56.7, 92.99, 
##     122.47, 74.84, 72.12, 64.86, 74.84, 74.84, 84.82, 90.72, 
##     68.04, 113.4, 90.72, 95.25, 99.34, 127.01, 86.18, 95.25, 
##     77.11, 117.93, 106.59, 65.77, 83.91, 118.39, 97.52, 70.31, 
##     110.22, 73.94, 104.33, 68.04, 102.06, 61.23, 83.91, 81.65, 
##     115.67, 99.79, 94.8, 58.97, 88.45, 81.65, 83.91, 104.33, 
##     77.11, 55.34, 74.84, 90.72, 86.18, 104.33, 97.52, 127.01, 
##     65.77, 85.28, 58.97, 72.57, 83.91, 79.83, 67.59, 83.91, 78.93, 
##     68.04, 102.06, 90.72, 94.8, 104.33, 83.91, 68.04, 112.94, 
##     79.38, 90.72, 65.77, 77.11, 111.58, 90.72, 83.91, 124.74, 
##     71.67, 72.57, 74.84, 99.79, 64.41, 81.65, 79.38, 81.65, 71.21, 
##     63.5, 94.8, 108.86, 87.09, 63.5, 76.66, 89.81, 77.11, 98.88, 
##     89.81, 84.82, 132, 106.59, 68.04, 92.99, 99.79, 91.63, 70.31, 
##     113.4, 68.95, 49.9, 72.57, 86.18, 49.9, 63.5, 60.78, 113.4, 
##     72.57, 134.26, 79.38, 81.65, 61.23, 68.04, 81.65, 102.06, 
##     54.88, 63.5, 85.73, 104.33, 113.4, 77.11, 104.33, 98.88, 
##     70.76, 96.16, 136.08, 81.65, 68.04, 79.83, 97.52, 96.16, 
##     73, 70.31, 113.4, 92.08, 102.06, 90.72, 61.23, 81.65, 62.14, 
##     92.99, 81.65, 77.11, 118.84, 81.65, 68.04, 79.38, 82.1, 78.93, 
##     99.79, 77.56, 72.57, 90.72, 77.11, 74.84, 91.63, 41.28, 90.72, 
##     79.38, 95.25, 95.25, 111.13, 158.76, 88.45, 115.67, 115.67, 
##     95.25, 81.65, 65.77, 86.64, 131.54, 90.72, 63.5, 92.53, 62.6, 
##     82.55, 68.04, 95.25, 72.57, 79.38, 67.59, 88.45, 61.23, 68.04, 
##     36.29, 74.84, 99.79, 90.72, 120.2, 83.46, 81.65, 99.79, 72.57, 
##     42.64, 57.15, 65.77, 82.1, 104.33, 79.38, 88.45, 83.01, 76.66, 
##     90.72, 113.4, 113.4, 93.44, 86.18, 90.72, 89.36, 81.65, 70.31, 
##     99.79, 54.43, 78.47, 99.79, 102.06, 65.77, 83.91, 65.77, 
##     127.01, 91.63, 108.86, 90.72, 90.72, 94.35, 81.65, 60.33, 
##     65.32, 92.99, 68.49, 59.87, 97.98, 84.37, 90.72, 111.13, 
##     70.31, 83.91, 145.15, 90.72, 63.5, 135.62, 113.4, 62.14, 
##     72.57, 81.65, 72.57, 83.46, 81.65, 56.7, 86.18, 76.66, 77.11, 
##     53.52, 90.72, 65.77, 122.47, 108.86, 79.38, 74.84, 104.33, 
##     108.86, 83.91, 114.76, 117.93, 117.93, 92.53, 88.45, 81.65, 
##     69.4, 111.13, 63.5, 120.2, 122.47, 104.33, 107.5, 94, 82.1, 
##     85.28, 95.25, 90.72, 108.86, 92.99, 94.35, 93.44, 95.25, 
##     71.67, 84.82, 68.04, 78.02, 72.57, 92.99, 95.25, 99.79, 95.25, 
##     99.79, 82.55, 72.57, 53.52, 90.72, 81.65, 75.3, 69.85, 90.72, 
##     47.63, 90.72, 111.13, 89.36, 54.43, 86.18, 68.04, 59.87, 
##     81.65, 90.72, 78.02, 63.5, 80.29, 79.38, 90.72, 89.36, 69.4, 
##     72.57, 44.45, 88.45, 67.59, 89.81, 86.18, 54.43, 95.25, 81.65, 
##     71.21, 64.41, 107.95, 74.84, 70.31, 124.74, 81.65, 68.04, 
##     73.94, 70.31, 77.11, 88.45, 70.31, 111.13, 90.72, 89.81, 
##     112.04, 86.18, 74.84, 70.31, 57.15, 88, 83.91, 58.97, 49.44, 
##     88.45, 92.53, 66.68, 69.85, 81.65, 77.11, 70.31, 77.11, 104.33, 
##     117.93, 67.59, 97.52, 68.95, 93.44, 59.87, 104.33, 95.25, 
##     90.72, 83.91, 106.59, 70.31, 126.55, 74.84, 76.2, 88.45, 
##     90.72, 73.48, 56.7, 90.72, 84.82, 86.18, 101.6, 99.79, 83.91, 
##     99.79, 102.06, 64.86, 99.79, 120.2, 60.78, 124.74, 72.57, 
##     71.21, 124.74, 54.43, 90.72, 74.84, 74.84, 58.97, 90.72, 
##     68.04, 79.38, 63.96, 90.72, 84.82, 95.25, 58.97, 90.72, 97.52, 
##     83.91, 76.2, 138.35, 90.72, 117.93, 65.32, 73.48, 142.88, 
##     74.84, 136.08, 92.99, 117.93, 65.77, 113.4, 61.23, 117.93, 
##     78.93, 84.82, 129.27, 95.25, 111.13, 76.2, 92.99, 65.32, 
##     86.18, 83.46, 86.18, 95.71, 113.4, 49.9, 45.81, 111.13, 99.79, 
##     72.57, 72.57, 90.72, 88.45, 104.33, 60.78, 104.78, 97.52, 
##     61.23, 108.86, 83.91, 83.91, 83.46, 99.79, 78.02, 92.53, 
##     61.23, 61.23, 52.16, 68.04, 79.38, 102.06, 78.93, 70.31, 
##     54.88, 72.57, 49.9, 79.38, 79.38, 83.91, 72.57, 128.37, 78.93, 
##     81.65, 90.72, 77.11, 82.55, 88.45, 90.72, 86.18, 93.44, 77.11, 
##     104.33, 108.86, 63.5, 84.82, 52.16, 88, 81.65, 95.25, 91.17, 
##     86.18, 54.43, 77.56, 52.16, 88.45, 81.65, 61.23, 108.86, 
##     83.91, 63.5, 72.57, 77.11, 68.04, 133.36, 136.08, 83.91, 
##     81.65, 83.91, 65.77, 102.06, 55.34, 88, 83.91, 94.8, 56.7, 
##     79.38, 77.11, 71.67, 84.82, 68.04, 96.16, 103.87, 181.89, 
##     58.97, 99.79, 104.33, 117.93, 81.65, 124.74, 81.65, 89.81, 
##     99.79, 87.09, 70.76, 97.52, 90.26, 83.91, 133.81, 86.18, 
##     76.2, 79.38, 72.57, 86.18, 129.27, 88.45, 117.93, 113.4, 
##     97.52, 81.65, 77.11, 95.25, 49, 90.72, 90.72, 85.73, 90.72, 
##     106.14, 122.47, 74.84, 96.16, 106.59, 102.51, 90.72, 106.59, 
##     72.57, 79.38, 113.4, 89.81, 65.77, 77.11, 81.65, 67.13, 83.91, 
##     73.94, 90.72, 127.01, 65.77, 81.65, 133.36, 97.52, 73.03, 
##     54.43, 99.79, 136.08, 75.75, 81.65, 73.48, 68.04, 97.52, 
##     54.43, 70.76, 68.04, 68.04, 78.47, 79.38, 127.91, 111.13, 
##     90.72, 77.56, 63.5, 65.77, 128.37, 76.2, 117.93, 95.25, 77.11, 
##     63.5, 81.65, 69.4, 86.18, 65.77, 65.77, 83.91, 83.91, 77.11, 
##     129.27, 102.06, 52.16, 72.57, 92.99, 95.25, 85.73, 77.11, 
##     57.15, 72.57, 86.18, 81.65, 98.88, 55.34, 77.11, 104.33, 
##     83.91, 86.18, 92.99, 64.41, 108.86, 81.65, 99.79, 82.55, 
##     77.11, 108.86, 87.09, 94.8, 106.59, 61.23, 108.86, 90.72, 
##     151.95, 72.57, 108.86, 78.47, 83.01, 88.45, 66.22, 54.88, 
##     104.33, 122.47, 90.72, 80.74, 63.96, 61.23, 77.11, 65.77, 
##     88, 77.11, 81.65, 72.57, 90.72, 77.11, 90.72, 90.72, 48.53, 
##     77.11, 37.19, 55.34, 68.04, 70.31, 88.45, 92.08, 131.54, 
##     63.5, 79.38, 72.57, 96.62, 83.01, 101.15, 70.31, 90.72, 52.16, 
##     130.63, 81.65, 53.52, 131.54, 38.1, 73.48, 56.7, 93.89, 79.38, 
##     113.4, 83.91, 68.04, 97.07, 58.97, 68.04, 65.77, 70.31, 86.18, 
##     83.91, 86.18, 90.72, 81.65, 90.72, 81.65, 99.79, 99.79, 113.4, 
##     69.85, 100.24, 65.77, 43.09, 70.31, 90.72, 81.65, 117.93, 
##     68.04, 90.72, 108.86, 113.4, 103.42, 100.7, 68.95, 90.72, 
##     113.4, 115.67, 99.34, 65.77, 95.25, 103.87, 85.28, 58.97, 
##     84.82, 145.15, 115.21, 71.21, 90.72, 87.09, 85.73, 68.04, 
##     89.36, 90.72, 93.44, 113.4, 68.04, 76.66, 58.97, 83.91, 81.65, 
##     68.04, 62.14, 108.86, 78.02, 81.65, 98.88, 97.52, 108.86, 
##     79.38, 97.52, 81.65, 77.11, 47.17, 90.72, 111.13, 71.21, 
##     64.41, 77.11, 114, 67.59, 99.79, 63.5, 81.65, 71.67, 90.72, 
##     88.45, 77.11, 72.57, 106.59, 90.72, 73.48, 90.72, 102.06, 
##     91.17, 95.25, 68.04, 71.67, 68.95, 68.95, 106.59, 77.11, 
##     106.59, 90.72, 141.97, 83.91, 104.33, 65.77, 72.57, 113.4, 
##     136.08, 63.5, 85.28, 117.93, 80.74, 76.2, 131.54, 81.65, 
##     124.74, 106.59, 127.91, 99.79, 81.65, 78.02, 74.39, 68.49, 
##     72.57, 99.79, 50.35, 99.79, 90.72, 65.77, 113.4, 82.55, 82.55, 
##     108.86, 86.64, 126.1, 68.49, 61.23, 113.4, 48.08, 61.23, 
##     102.06, 74.84, 68.04, 108.86, 104.33, 70.31, 73.03, 113.4, 
##     108.86, 101.6, 82.55, 95.25, 68.04, 52.16, 77.11, 74.84, 
##     90.72, 43.09, 99.79, 61.23, 63.5, 79.38, 89.36, 86.18, 110.22, 
##     95.71, 80.74, 95.25, 52.16, 102.51, 68.04, 81.65, 50.8, 118.39, 
##     164.65, 81.65, 83.91, 90.72, 136.08, 71.21, 61.23, 83.01, 
##     78.93, 69.85, 99.79, 129.27, 68.04, 154.22, 95.25, 131.54, 
##     63.5, 70.76, 117.93, 49.9, 89.81, 111.13, 53.98, 80.74, 83.91, 
##     108.86, 95.25, 68.04, 45.36, 86.18, 79.83, 76.66, 134.72, 
##     79.38, 72.57, 88.45, 58.06, 79.38, 83.91, 149.69, 88.45, 
##     58.97, 108.41, 61.23, 73.48, 92.99, 84.82, 72.57, 97.52, 
##     81.65, 77.11, 99.79, 88.45, 88.9, 88.45, 71.21, 90.72, 89.36, 
##     122.47, 72.57, 81.65, 83.91, 76.2, 63.5, 86.18, 81.19, 93.44, 
##     68.04, 47.17, 83.91, 72.57, 63.05, 85.73, 65.77, 77.11, 81.65, 
##     80.74, 125.65, 79.38, 104.33, 92.99, 58.97, 102.06, 154.22, 
##     99.79, 63.5, 53.52, 74.39, 54.43, 90.72, 74.39, 56.7, 111.13, 
##     79.38, 58.97, 106.59, 70.31, 86.18, 90.72, 88.9, 79.38, 90.72, 
##     96.16, 99.79, 50.35, 77.56, 90.72, 79.38, 104.33, 93.89, 
##     136.08, 72.57, 73.48, 136.08, 44.45, 81.65, 53.07, 77.11, 
##     86.18, 74.84, 88.45, 58.06, 77.11, 90.72, 113.4, 78.93, 99.79, 
##     68.04, 64.86, 90.72, 92.53, 115.67, 83.91, 81.65, 102.06, 
##     90.72, 71.21, 58.97, 66.68, 61.23, 74.84, 88.45, 70.31, 102.97, 
##     58.06, 90.72, 89.81, 56.7, 108.86, 54.43, 56.7, 102.06, 102.06, 
##     77.11, 77.56, 77.11, 95.25, 68.04, 72.57, 56.7, 79.38, 72.57, 
##     72.57, 44.45, 58.06, 72.57, 81.19, 95.25, 86.18, 90.72, 61.23, 
##     74.84, 107.95, 127.01, 131.54, 71.21, 92.53, 81.19, 72.57, 
##     80.74, 90.72, 77.11, 97.52, 120.66, 97.52, 80.29, 89.36, 
##     86.18, 77.11, 106.59, 137.44, 86.18, 83.91, 104.33, 130.63, 
##     73.94, 64.41, 146.96, 106.59, 95.25, 44.91, 75.75, 75.3, 
##     120.2, 87.54, 86.18, 113.4, 58.97, 66.22, 81.65, 111.13, 
##     78.93, 80.74, 86.18, 74.84, 90.72, 86.18, 83.91, 108.86, 
##     62.14, 101.6, 120.2, 117.93, 84.82, 81.19, 113.4, 125.65, 
##     87.54, 86.18, 45.36, 61.23, 81.65, 184.16, 99.79, 95.25, 
##     56.7, 113.4, 56.7, 82.55, 79.38, 68.04, 92.53, 127.01, 92.08, 
##     78.02, 74.84, 68.49, 104.33, 56.25, 106.14, 99.79, 122.47, 
##     63.5, 72.57, 90.72, 43.09, 86.18, 90.72, 77.11, 56.7, 79.38, 
##     108.86, 85.28, 75.3, 97.52, 74.84, 72.57, 68.04, 79.38, 68.04, 
##     81.65, 91.63, 79.38, 92.99, 117.93, 70.31, 88.9, 62.6, 93.44, 
##     88.45, 56.7, 78.93, 72.57, 76.2, 131.54, 111.13, 83.91, 108.86, 
##     107.95, 78.47, 58.51, 96.16, 83.91, 74.84, 54.43, 88.9, 117.93, 
##     62.6, 88.45, 77.56, 88.45, 79.38, 111.13, 124.74, 86.18, 
##     67.59, 83.91, 79.83, 88.45, 107.95, 52.16, 72.57, 87.54, 
##     70.31, 72.57, 70.31, 79.38, 81.65, 99.79, 151.95, 68.04, 
##     113.4, 71.67, 124.28, 68.04, 93.89, 77.11, 66.68, 70.31, 
##     63.5, 68.04, 90.72, 58.97, 72.57, 86.18, 89.81, 53.52, 72.57, 
##     120.66, 45.36, 68.95, 70.31, 81.65, 49.9, 91.63, 115.67, 
##     104.33, 81.65, 63.5, 92.99, 113.4, 107.95, 108.86, 72.57, 
##     90.72, 90.26, 103.87, 52.62, 70.31, 111.13, 80.29, 63.5, 
##     79.38, 95.25, 84.82, 99.79, 70.31, 88.45, 95.25, 72.57, 71.67, 
##     79.38, 81.65, 62.6, 90.72, 83.91, 79.38, 81.65, 113.4, 71.21, 
##     77.11, 74.84, 40.37, 90.26, 120.2, 72.57, 63.5, 85.28, 56.7, 
##     102.06, 74.84, 97.52, 87.09, 92.08, 131.54, 64.41, 54.43, 
##     65.32, 86.18, 79.38, 83.91, 48.53, 104.33, 90.72, 88.45, 
##     106.59, 77.11, 83.91, 68.04, 90.72, 93.44, 77.11, 84.82, 
##     82.55, 58.97, 83.91, 72.57, 89.36, 199.58, 68.04, 81.65, 
##     53.98, 117.93, 92.99, 61.23, 69.85, 58.97, 140.61, 79.38, 
##     83.91, 70.31, 104.33, 76.2, 86.18, 81.65, 59.87, 61.23, 72.57, 
##     78.47, 106.59, 80.74, 63.5, 90.72, 58.97, 79.38, 90.26, 92.99, 
##     95.25, 168.74, 81.65, 63.5, 72.57, 146.96, 111.13, 91.63, 
##     81.65, 129.27, 72.57, 104.33, 95.25, 67.13, 61.23, 104.33, 
##     77.11, 75.75, 97.52, 83.91, 108.86, 95.25, 71.67, 113.4, 
##     65.77, 65.77, 56.7, 72.12, 79.83, 102.06, 89.81, 81.65, 58.97, 
##     90.72, 90.72, 74.84, 72.57, 142.88, 88.45, 77.11, 104.33, 
##     79.38, 58.97, 108.86, 78.93, 74.84, 70.31, 85.73, 73.48, 
##     83.91, 99.79, 79.38, 63.5, 79.38, 68.04, 111.13, 107.95, 
##     55.34, 121.11, 78.02, 83.01, 120.2, 97.52, 74.84, 68.04, 
##     148.78, 70.31, 108.86, 61.23, 86.18, 90.72, 77.11, 52.16, 
##     127.01, 55.79, 49.9, 81.65, 99.79, 93.44, 72.57, 111.58, 
##     87.54, 117.93, 54.43, 83.01, 77.11, 58.97, 56.7, 90.72, 82.1, 
##     48.99, 83.91, 74.84, 72.12, 81.65, 68.04, 165.56, 74.84, 
##     145.15, 90.72, 117.93, 90.72, 97.52, 93.44, 104.33, 68.04, 
##     48.08, 79.38, 147.42, 115.67, 76.66, 85.73, 83.91, 95.25, 
##     72.57, 68.04, 90.72, 72.57, 61.23, 102.06, 53.52, 104.33, 
##     61.69, 96.16, 72.57, 88.9, 155.13, 71.21, 83.46, 74.84, 88.45, 
##     77.11, 81.65, 91.63, 95.25, 54.43, 57.61, 74.84, 90.72, 87.54, 
##     87.09, 87.09, 91.63, 122.47, 82.55, 67.59, 108.86, 88.9, 
##     96.62, 72.57, 77.11, 117.48, 99.79, 145.15, 81.65, 74.84, 
##     81.65, 62.6, 102.06, 121.56, 107.95, 154.22, 107.95, 99.79, 
##     68.04, 68.04, 84.82, 79.38, 53.98, 52.62, 66.68, 86.18, 81.65, 
##     81.65, 88.45, 92.99, 97.52, 70.31, 88.45, 76.2, 58.51, 108.86, 
##     50.8, 94.35, 75.75, 81.65, 83.91, 79.38, 78.02, 127.01, 63.05, 
##     97.52, 81.65, 136.08, 68.04, 49.9, 102.51, 51.26, 69.4, 95.25, 
##     77.11, 107.5, 117.93, 79.38, 108.86, 95.25, 88, 63.96, 113.4, 
##     72.57, 146.51, 104.33, 117.93, 102.06, 68.04, 90.72, 158.76, 
##     98.88, 86.18, 115.67, 102.06, 97.07, 106.59, 104.33, 90.72, 
##     83.91, 93.89, 99.79, 81.65, 72.57, 63.96, 99.79, 70.31, 131.54, 
##     65.77, 67.59, 88.9, 93.89, 83.91, 54.43, 79.38, 77.11, 81.65, 
##     106.59, 90.72, 73.48, 68.04, 81.65, 79.38, 86.18, 70.76, 
##     72.57, 65.77, 95.25, 81.65, 108.86, 68.04, 90.72, 113.4, 
##     73.03, 62.6, 83.91, 106.59, 99.79, 70.31, 72.57, 111.13, 
##     102.97, 117.93, 70.31, 81.65, 102.06, 113.4, 102.06, 95.25, 
##     68.04, 99.79, 88.45, 117.93, 50.8, 95.25, 108.86, 88.45, 
##     111.58, 114.76, 68.04, 74.84, 47.63, 86.18, 81.65, 90.72, 
##     123.83, 90.72, 97.52, 86.18, 113.4, 68.04, 104.33, 81.65, 
##     83.91, 120.2, 102.06, 65.77, 77.11, 80.74, 72.57, 90.72, 
##     60.78, 92.08, 107.5, 90.72, 81.65, 81.65, 53.52, 72.57, 96.16, 
##     74.84, 60.78, 86.18, 63.5, 93.89, 39.46, 79.38, 88.45, 87.09, 
##     65.32, 90.72, 82.55, 75, 108.86, 81.65, 95.71, 62.14, 111.13, 
##     113.4, 89.36, 63.5, 73.94, 65.77, 72.57, 81.65, 90.72, 113.4, 
##     106.59, 78.02, 95.25, 96.62, 68.04, 98.88, 68.04, 58.06, 
##     74.39, 140.61, 86.18, 90.72, 72.57, 74.84, 99.79, 71.21, 
##     129.27, 72.57, 95.25, 97.07, 86.18, 100.7, 129.73, 65.32, 
##     72.57, 68.04, 88.45, 215.46, 91.63, 72.57, 101.6, 78.02, 
##     107.95, 79.38, 82.1, 99.79, 117.93, 99.79, 90.72, 73.48, 
##     70.31, 97.52, 129.73, 90.72, 108.41, 108.86, 106.59, 95.25, 
##     86.18, 56.7, 55.79, 124.74, 104.33, 103.42, 94.35, 86.64, 
##     104.33, 40.82, 71.21, 104.33, 102.51, 94.8, 47.63, 82.55, 
##     61.23, 65.77, 106.59, 99.79, 74.84, 61.23, 73.03, 70.31, 
##     117.93, 86.18, 79.38, 100.7, 158.76, 74.84, 77.11, 61.23, 
##     68.49, 106.59, 82.55, 102.51, 60.33, 69.85, 117.48, 92.53, 
##     81.65, 76.2, 95.25, 95.25, 70.31, 99.79, 66.68, 81.65, 98.88, 
##     48.08, 90.72, 104.33, 101.6, 88.45, 68.04, 72.57, 98.88, 
##     113.4, 86.18, 97.52, 107.5, 79.38, 86.18, 120.2, 97.52, 60.33, 
##     90.72, 90.72, 72.57, 63.5, 181.44, 117.93, 115.21, 58.51, 
##     95.25, 149.69, 81.65, 97.52, 90.72, 86.18, 68.04, 63.5, 97.07, 
##     105.23, 80.29, 81.65, 90.72, 46.27, 54.43, 61.23, 122.47, 
##     83.46, 107.95, 104.33, 47.63, 81.65, 80.74, 104.33, 53.98, 
##     95.25, 90.26, 68.04, 78.93, 68.95, 80.29, 81.65, 97.98, 72.57, 
##     82.1, 104.33, 96.16, 91.17), c(27.44, 22.15, 28.06, 30.81, 
##     27.81, 24.96, 21.83, 28.35, 36.59, 25.82, 30.68, 37.59, 19.19, 
##     58.98, 21.26, 32.28, 31.32, 36.59, 22.6, 34.3, 23.49, 23.67, 
##     23.02, 27.65, 26.45, 26.96, 43.24, 25.83, 31.14, 27.26, 28.57, 
##     23.3, 25.7, 19.58, 39.48, 31.57, 27.2, 32.98, 30.13, 30.9, 
##     33.28, 32.89, 22.86, 23, 30.68, 18.83, 29.12, 27.81, 22.96, 
##     24.21, 18.94, 23.41, 27.37, 29.53, 18.79, 28.6, 27.44, 25.82, 
##     28.32, 29.68, 35.44, 29.84, 24.96, 28.59, 26.32, 29.63, 24.89, 
##     24.69, 26.5, 22.8, 37.12, 26.54, 18.46, 33.45, 21.93, 24.96, 
##     23.12, 26.46, 29.03, 23.3, 27.12, 28.25, 25.77, 31.45, 33.65, 
##     29.12, 25.06, 27.12, 31.87, 28.7, 28.89, 32.39, 37.12, 30.13, 
##     25.83, 25.09, 30.9, 38.39, 24.13, 24.8, 37.6, 50.2, 23.91, 
##     26.58, 35.26, 33.52, 36.62, 20.45, 27.34, 24.21, 32.69, 32.49, 
##     31.25, 33.75, 30.04, 29.04, 36.59, 26.26, 25.11, 22.71, 37.66, 
##     32.28, 24.33, 28.67, 25.06, 38.52, 21.25, 24.56, 18.79, 23.71, 
##     22.71, 23.15, 27.6, 27.07, 22.49, 31.12, 23.67, 22.24, 25.85, 
##     24.9, 33.45, 28.7, 38.74, 32.99, 37.25, 24.39, 19.37, 44.62, 
##     34.33, 34.77, 18.66, 39.32, 28.7, 32.28, 19.97, 30.18, 40.8, 
##     21.11, 20.18, 23.34, 21.95, 23.03, 27.44, 36.9, 30.34, 31.57, 
##     26.58, 45.7, 28.35, 38.62, 39.16, 32.71, 53.22, 35.28, 24.75, 
##     28.32, 31.62, 33.45, 49.38, 22.05, 29.7, 20.95, 25.07, 30.65, 
##     30.57, 28.29, 23.44, 24.13, 30.54, 24.14, 19.2, 36.26, 22.6, 
##     20.8, 29.03, 30.67, 25.09, 45.5, 23.01, 26.96, 27.41, 25.61, 
##     28.48, 32.74, 31.62, 35.24, 31.09, 28.32, 20.8, 25.11, 26.5, 
##     20.9, 27.88, 27.48, 39.89, 39.06, 33.47, 23.67, 23.44, 19.97, 
##     25.75, 31.89, 22.71, 35.87, 29.12, 31.87, 17.94, 25.09, 36.49, 
##     20.09, 34.54, 24.96, 37.79, 40.43, 24.17, 33.91, 23.49, 26.31, 
##     43.9, 23.03, 36.58, 25.75, 36.18, 23.17, 28.5, 30.07, 23.01, 
##     19.47, 30, 27.12, 22.14, 19.97, 42.51, 36.96, 26.52, 25.09, 
##     25.69, 27.26, 31.89, 31.54, 25.4, 23.33, 35.87, 34.37, 35.78, 
##     29.29, 26.57, 27.12, 26.63, 23.67, 29.86, 22.6, 31.93, 23.69, 
##     21.41, 28.75, 36.02, 41.81, 40.62, 21.3, 37.2, 27.41, 24.96, 
##     24.14, 27.44, 35.51, 31.38, 30.68, 22.6, 31.19, 31.53, 19.79, 
##     23.89, 33.63, 41.35, 23.06, 25.75, 29.84, 33.2, 21.61, 25.06, 
##     30.45, 24.55, 37.31, 26.36, 33.98, 23.4, 33, 24.03, 21.02, 
##     29.12, 19.79, 22.6, 34.87, 20.09, 46.99, 18.89, 17.97, 25.82, 
##     24.03, 29.84, 29.95, 24.75, 40.62, 22.31, 36.81, 34.36, 18.88, 
##     25.02, 30.52, 30.41, 30.41, 27.39, 22.89, 28.89, 44.63, 22.38, 
##     32.45, 26.5, 24.41, 27.79, 45.19, 23.4, 25.32, 39.87, 29.26, 
##     27.46, 34.73, 23.89, 24.39, 22.32, 31, 24.96, 32.28, 25.1, 
##     22.5, 25.06, 30.9, 29.65, 26.12, 26.96, 28.19, 32.11, 36.92, 
##     30.54, 28.48, 30.67, 24.41, 29.95, 29.58, 23.33, 25.13, 23.03, 
##     36.26, 30.04, 25.02, 34.37, 28.19, 23.63, 30.34, 29.29, 22.86, 
##     39.75, 30.13, 27.12, 47.3, 42.57, 28.17, 35.44, 32.11, 46.29, 
##     26.46, 24.81, 24.96, 30.18, 35.71, 28.48, 34.33, 30.68, 22.81, 
##     24.13, 32.61, 31.57, 21.73, 26.91, 25.75, 18.93, 20.6, 26.54, 
##     23.67, 31.62, 27.26, 32.87, 39.32, 20.98, 25.06, 23.89, 35.61, 
##     46.94, 26.57, 19.58, 27.91, 17.33, 40.72, 20.67, 30.12, 23.03, 
##     44.64, 28.41, 18.88, 24.03, 27.71, 35.44, 25.39, 26.69, 25.82, 
##     34.77, 29.63, 31.32, 28.8, 27.34, 34.97, 21.41, 28.45, 24.21, 
##     27.98, 23.4, 29.76, 29.26, 28.7, 24.45, 23.24, 26.52, 27.46, 
##     24.33, 37.97, 55.79, 39.94, 22.6, 34.48, 33.2, 22.32, 19.01, 
##     26.45, 26.92, 24.14, 39.94, 33.23, 18.19, 23.59, 28.25, 20.18, 
##     28.06, 25.69, 25.75, 38.26, 36.73, 30.27, 34.44, 30.23, 38.11, 
##     25.75, 42.07, 24.83, 20.98, 29.43, 24.27, 17.16, 31.89, 32.28, 
##     38.97, 31.75, 22.05, 24.33, 23.49, 31.75, 30.43, 18.01, 38.39, 
##     22.47, 26.17, 39.11, 20.34, 20.98, 32.49, 24.89, 29.12, 28.7, 
##     28.19, 23.75, 36.02, 28.37, 33.84, 27.05, 22.3, 22.67, 22.74, 
##     26.56, 31.93, 38.41, 22.89, 22.4, 24.39, 34.33, 31.74, 33.2, 
##     27.41, 37.12, 22.05, 20.9, 24.96, 30.9, 27.26, 22.67, 28.19, 
##     24.13, 38.02, 21.29, 39.46, 23.03, 24.96, 26.61, 26.63, 22.15, 
##     29.66, 25.51, 22.73, 20.98, 27.89, 19.77, 26.61, 22.38, 23.18, 
##     37.76, 29.87, 27.44, 37.42, 21.41, 37.1, 23.17, 27.37, 40.85, 
##     29.53, 24.01, 30.18, 48.92, 29.7, 26.54, 19.74, 21.26, 27.8, 
##     29.83, 21.48, 26.47, 23.78, 38.27, 27.27, 23.63, 35.3, 21.11, 
##     23.06, 27.37, 24.39, 21.02, 24.69, 25.63, 37.59, 28.32, 29.76, 
##     35.51, 31.74, 34.46, 22.48, 23.85, 44.39, 24.33, 29.82, 41.64, 
##     30.04, 31, 27.5, 26.61, 29.05, 19.9, 27.57, 25.13, 29.86, 
##     34.75, 34.45, 25.75, 31.75, 25.83, 22.31, 25.75, 30.68, 28.06, 
##     22.66, 30.67, 26.45, 26.39, 31.19, 29.03, 34.33, 38.41, 22.52, 
##     33.81, 19.3, 30.11, 27.37, 33.48, 42.43, 26.61, 28.46, 26.5, 
##     28.8, 26.13, 23.52, 25.8, 49.21, 28.34, 24.37, 34.01, 27.07, 
##     30.9, 30.81, 32.78, 28.19, 33.66, 29.23, 43.4, 33, 23.01, 
##     23.06, 26.63, 22.73, 28.72, 27.46, 45.34, 32.01, 27.41, 50.12, 
##     32.21, 25.09, 23.49, 27.26, 19.75, 25.69, 27.12, 27.89, 23.03, 
##     24.41, 30.41, 38.02, 28.34, 28.7, 32.89, 46.06, 33.29, 21.46, 
##     28.97, 27.46, 29.05, 31.51, 39.75, 33.73, 36.62, 24.21, 27.21, 
##     35.19, 25.83, 28.25, 26.09, 32.49, 23.78, 22.6, 34.11, 20.98, 
##     23.96, 33.66, 32.01, 22.05, 35.51, 19.97, 21.63, 29.41, 31.19, 
##     22.1, 29.65, 24.81, 23.49, 24.39, 25.8, 23.3, 31.01, 18.46, 
##     26.15, 28.34, 20.37, 33.75, 25.24, 30.68, 22.31, 25.75, 25.94, 
##     29.29, 27.89, 27.07, 22.15, 27.98, 25.83, 20.52, 24.39, 43.33, 
##     23.5, 30.51, 30.11, 23.54, 29.65, 27.91, 31.57, 29.19, 39.87, 
##     29.58, 27.46, 22.15, 39.05, 36.13, 29.84, 38.26, 26.37, 30.85, 
##     22.46, 24.19, 26.63, 32.1, 21.7, 27.96, 22.59, 31.32, 20.12, 
##     20.92, 23.49, 29.12, 43.27, 23.4, 24.21, 24.96, 38.01, 25.83, 
##     22.08, 23.08, 29.84, 18.78, 27.26, 23.56, 25.75, 21.62, 25.8, 
##     38.97, 20.94, 21.38, 27.71, 27.32, 27.41, 31.46, 25.04, 28.37, 
##     38.02, 27.26, 24.37, 48.06, 35.15, 32.11, 49.6, 26.61, 24.03, 
##     30.04, 35.31, 23.08, 20.12, 39.48, 25.09, 18.65, 31.04, 35.15, 
##     26.76, 25.06, 21.79, 35.51, 30.41, 36.13, 30, 31.62, 35.87, 
##     26, 25.75, 38.77, 19.37, 19.71, 32.87, 26.96, 21.71, 26.32, 
##     29.21, 21.62, 37.12, 31.8, 27.84, 30.42, 29.03, 31.17, 25.62, 
##     44.63, 24.39, 27.26, 25.8, 24.02, 24.39, 29.29, 25.5, 21.63, 
##     32.08, 37.22, 23.78, 28.32, 25.61, 26.23, 35.67, 31.46, 24.14, 
##     28.8, 28.32, 23.39, 26.52, 24.89, 37.31, 23.81, 32.71, 27.2, 
##     25.75, 21.46, 27.2, 24.21, 33.96, 31.74, 32.28, 28.25, 33.38, 
##     22.15, 20.98, 18.89, 39.38, 41.96, 23.62, 26.57, 24.96, 25.99, 
##     37.97, 19.84, 19.2, 40.31, 25.39, 26.26, 21.83, 22.86, 21.93, 
##     33.45, 22.6, 26.16, 28.6, 31.75, 28.25, 26.5, 24.21, 38.52, 
##     24.41, 26.57, 25.61, 35.67, 25.84, 22.89, 32.61, 16.14, 37.12, 
##     27.96, 28.34, 25.09, 21.77, 26.16, 26.87, 26.57, 44.39, 27.17, 
##     20.36, 33.12, 27.37, 20.18, 27.05, 25.61, 34.96, 31.25, 27.32, 
##     43.65, 25.4, 30.92, 21.63, 22.92, 32.77, 44.71, 28.25, 26.63, 
##     23.13, 27.46, 30.9, 29.89, 31.2, 33.91, 22.59, 27.28, 19.94, 
##     39.06, 26.52, 26.39, 30.9, 24.8, 31.44, 22.38, 38.13, 28.7, 
##     26.29, 23.17, 39.14, 26.45, 19.53, 29.29, 26.58, 26.61, 22.15, 
##     24.25, 32.1, 36.32, 31.93, 23.62, 27.92, 25.82, 23.57, 19.37, 
##     25.4, 29.43, 25.06, 18.79, 30.24, 26.5, 23.52, 26.78, 34.87, 
##     24.21, 40.35, 33.96, 61.7, 39.68, 32.28, 32.49, 21.63, 29.99, 
##     26.57, 28.5, 28.48, 23.11, 25.1, 22.89, 27.44, 20.22, 20.34, 
##     28.28, 26.54, 29.05, 40.69, 20.25, 35.02, 23.09, 23.62, 23.32, 
##     29.95, 22.24, 22.68, 27.98, 27.25, 24.21, 30.95, 30.86, 29.26, 
##     36.02, 39.87, 23.49, 25.19, 27.05, 37.79, 38.74, 29.94, 24.96, 
##     37.41, 21.59, 26.45, 25.69, 25.84, 29.86, 22.08, 28.28, 41.81, 
##     30.23, 29.86, 20.08, 30.38, 35.74, 25.39, 21.14, 28.34, 25.84, 
##     33, 33.8, 23.41, 34.18, 32.84, 17.38, 24.94, 28.13, 30.85, 
##     31.85, 27.25, 22.11, 21.34, 31.93, 21.11, 35.43, 23.63, 32.49, 
##     29.53, 28.34, 38.04, 36.01, 17.43, 21.63, 21.7, 29.53, 19.14, 
##     17.47, 19.26, 27.71, 26.29, 33.89, 31.62, 32.28, 31.2, 26.76, 
##     47.55, 26.63, 29.01, 23.75, 26.91, 38.74, 28.19, 28.28, 25.68, 
##     27.12, 25.83, 28.34, 47.64, 24.39, 25.11, 22.6, 32.08, 27.46, 
##     23.49, 37.23, 27.46, 31.45, 26.63, 24.8, 32.98, 26.46, 27.34, 
##     30, 25.77, 25.68, 40.74, 29.43, 27.12, 28.7, 24.46, 18.55, 
##     28.32, 25.59, 27.2, 30.85, 41.94, 31.37, 19.49, 22.6, 29.05, 
##     14.36, 30.13, 32.92, 24.34, 37.76, 32.01, 34.75, 24.68, 23.49, 
##     25.77, 33.28, 36.14, 36.58, 24.37, 19.37, 42.91, 42.61, 25.63, 
##     28.89, 30.8, 25.1, 30.81, 35.31, 32.28, 30.66, 30.41, 39.16, 
##     28.97, 24.03, 29.29, 26.54, 16.83, 29.16, 28.48, 34.7, 28.13, 
##     33.91, 25.34, 26.45, 38.47, 38.52, 27.34, 28.25, 42.41, 21.95, 
##     31.62, 31.25, 60.11, 25.24, 47.43, 37.11, 26.96, 28.7, 24.41, 
##     20.98, 20.37, 56.68, 28.28, 22.14, 34.75, 25.02, 33.47, 35.15, 
##     22.11, 38.16, 30.3, 24.33, 31.32, 30.52, 25.07, 22.71, 29.23, 
##     18.79, 27.88, 27.46, 30.79, 29.53, 21.3, 27.26, 25.69, 30.67, 
##     20.47, 27.17, 20.22, 38.01, 24.33, 28.53, 25.54, 31.89, 25.77, 
##     25.69, 33.28, 24.53, 27.98, 25.15, 29.84, 32.78, 21.68, 23.73, 
##     35.18, 29.29, 26.39, 33.28, 36.62, 23.75, 23.62, 28.25, 23.71, 
##     25.09, 25.68, 25.11, 30.43, 31.93, 25.69, 23.17, 21.54, 27.44, 
##     22.81, 32.69, 30.04, 36.58, 31.32, 22.83, 23.96, 34.58, 24.59, 
##     20.12, 35.19, 29.8, 32.23, 21.97, 25.33, 23.78, 27.46, 25.73, 
##     24.89, 27.96, 17.31, 25.75, 21.48, 26.63, 36.18, 25.02, 27.34, 
##     31.89, 25.11, 28.19, 22.15, 25.1, 30.04, 23.03, 17.81, 17.72, 
##     41.6, 30.52, 24.33, 23.62, 27.72, 25.68, 23.83, 24.96, 36.92, 
##     23.56, 29.7, 23.44, 26.63, 24.33, 35.26, 22.16, 28.29, 22.86, 
##     33.98, 46.81, 38.97, 29.95, 32.6, 24.03, 41.01, 22.67, 31.93, 
##     25.39, 29.18, 33.66, 25.79, 32.55, 24.39, 25.23, 26.61, 26.63, 
##     24.33, 26.36, 19.97, 37.93, 24.8, 25.84, 28.59, 25.84, 30.18, 
##     37.6, 26.61, 32.77, 26.96, 36.92, 28.7, 27.37, 32.01, 29.29, 
##     25.65, 27.37, 25.99, 25.1, 28.06, 24.39, 31.19, 19.37, 28.07, 
##     34.46, 24.69, 25.8, 30.79, 30.9, 34.95, 36.61, 26.39, 25.09, 
##     36.02, 32.92, 22.89, 25.99, 23.67, 26.61, 29.05, 27.48, 28.89, 
##     34.33, 24.13, 29.41, 17.47, 29.18, 29.84, 51.68, 36.58, 33.51, 
##     23.03, 30.08, 35.15, 26.78, 29.26, 36.61, 22.87, 29.38, 28.89, 
##     28.7, 19.14, 27.41, 35.87, 21.26, 35.44, 30.42, 44.63, 31.89, 
##     26.61, 29.65, 27.62, 32.08, 35.67, 25.82, 31.66, 25.94, 24.69, 
##     33.28, 28.19, 29.26, 27.6, 20.37, 33.28, 29.69, 32.81, 30.41, 
##     21.14, 25.1, 35.43, 30.85, 24.21, 24.69, 24.96, 38.52, 23.01, 
##     20.05, 38.35, 29.53, 27.12, 20.98, 24.41, 30.23, 26.61, 36.94, 
##     26.5, 32.08, 29.03, 26.63, 25.65, 23.62, 25.82, 24.85, 23.04, 
##     41.6, 27.44, 18.88, 31.32, 25.1, 27.34, 24.9, 47.2, 28.5, 
##     28.89, 28.19, 25.82, 32.54, 37.31, 41.01, 27.44, 24.39, 21.14, 
##     31.66, 29.38, 37.3, 29.49, 32.1, 43.4, 26.29, 21.77, 29.03, 
##     35.35, 40.86, 28.19, 27.46, 29.27, 28.5, 21.46, 37.6, 19.67, 
##     23.73, 19.05, 29.7, 27.2, 25.42, 37, 23.06, 22.55, 35.87, 
##     21.41, 22.5, 31.95, 30.52, 42.51, 32.62, 20.36, 37.49, 26.52, 
##     31.41, 28.43, 30.13, 22.96, 25.06, 19.27, 25.39, 31.01, 27.46, 
##     31.12, 18.75, 41.61, 28.7, 29.19, 31.57, 31.17, 27.5, 29.65, 
##     25.39, 30.11, 27.02, 32.28, 29.18, 26.54, 28.19, 31.66, 45.44, 
##     23.67, 31.57, 30.72, 30.9, 20.8, 25.75, 27.62, 37.59, 25.85, 
##     31, 30.96, 48.42, 27.26, 22.66, 26.15, 24.21, 37.25, 24.28, 
##     29.53, 25.23, 36.58, 32.1, 29.05, 25.75, 20.98, 41.1, 26.63, 
##     26.52, 26.96, 29.99, 21.7, 22.2, 33, 23.72, 27.89, 31.78, 
##     21.93, 24.69, 20.97, 19.2, 30.18, 30.13, 30.95, 35.44, 29.53, 
##     39.87, 26.83, 32.78, 31.87, 27.12, 51.69, 17.92, 28.19, 26.25, 
##     31.31, 30.9, 27.34, 34.33, 21.61, 26.61, 23.75, 30.18, 34.54, 
##     27.96, 22.38, 30.21, 23.75, 24.41, 22.35, 30.52, 19.37, 23.63, 
##     44.85, 39.48, 32.08, 21.93, 26.63, 40.34, 33.67, 34.46, 28.72, 
##     39.16, 29.01, 21.3, 38.74, 40.35, 32.92, 22.46, 30.79, 24.71, 
##     24.96, 31.25, 25.85, 27.12, 29.88, 24.21, 33.09, 26.5, 22.89, 
##     32.49, 28.19, 30.68, 29.18, 21.79, 25.85, 35.67, 25.07, 27.8, 
##     39.06, 32.56, 26.66, 19.74, 20.6, 27.26, 37.59, 24.37, 41.05, 
##     35.07, 42.43, 24.8, 32.92, 36.57, 28.7, 26.54, 26.31, 22.86, 
##     26.15, 21.73, 19.49, 27.5, 23.01, 18.46, 30.71, 27.12, 33, 
##     21.62, 32, 45.73, 32.28, 23.3, 23.49, 29.68, 27.46, 35.73, 
##     33.2, 25.83, 37.5, 28.7, 25.02, 22.96, 19.49, 30.55, 27.18, 
##     28.8, 27.26, 48.06, 28.25, 24.94, 25.04, 17.71, 30.81, 25.75, 
##     33.58, 22.8, 35.25, 24.05, 28.06, 27.44, 27.28, 35.48, 25.84, 
##     31.25, 31.32, 55.35, 24.24, 32.84, 33.38, 25.75, 23.78, 31.8, 
##     32.61, 24.82, 21.14, 41.15, 30.41, 34.46, 28.73, 24.41, 32.49, 
##     34.72, 23.91, 27.89, 28.6, 23.71, 32.92, 30.04, 19.53, 49.47, 
##     19.97, 32.08, 21.26, 18.79, 27.2, 24.24, 31.89, 33.66, 22.46, 
##     32.44, 28.25, 23.78, 21.79, 26.39, 25.36, 30.81, 23.96, 39.6, 
##     37.25, 28.25, 29.18, 31.57, 21.79, 36.58, 32.1, 24.41, 28.13, 
##     27.12, 20.6, 40.45, 30.67, 30.17, 35.04, 23.65, 22.85, 22.86, 
##     32.98, 35.87, 29.76, 29.05, 26.26, 35.26, 27.2, 23.73, 25.78, 
##     40.35, 27.91, 19.14, 25.83, 24.37, 30.52, 26.5, 32.12, 28.7, 
##     26.39, 19.69, 25.62, 31.01, 24.69, 28.35, 22.41, 42.04, 30.79, 
##     25.1, 21.61, 25.85, 22.46, 32.49, 27.82, 29.35, 32.74, 29.16, 
##     34.08, 35.15, 32.98, 26, 21.41, 30.23, 34.7, 28.01, 34.36, 
##     20.9, 21.8, 25.24, 29.52, 22.67, 27.98, 20.6, 24.41, 21.26, 
##     31.19, 26.09, 24.89, 22.66, 26.63, 28.7, 36.39, 20.51, 22.05, 
##     26.61, 24.41, 30.54, 23.49, 20.34, 26.63, 22.6, 33.23, 21.14, 
##     25.23, 20.98, 21.29, 23.11, 27.44, 48.06, 27.12, 30.34, 39.05, 
##     21.03, 22.89, 24.37, 19.58, 28.41, 35, 30.27, 25.8, 24.61, 
##     21.79, 21.97, 30.21, 33.38, 27.89, 29.6, 26.96, 18.41, 33.47, 
##     31.62, 23.85, 25.02, 26.31, 26.75, 33.98, 23.56, 34.95, 36.02, 
##     27.92, 27.96, 25.09, 24.69, 21.77, 27.62, 36.58, 24.69, 29.65, 
##     29.53, 32.49, 34.33, 27.62, 34.33, 20.34, 20.22, 25.83, 29.01, 
##     23.49, 24.89, 33.15, 22.71, 23.96, 23.71, 21.24, 21.63, 26.52, 
##     21.59, 31.12, 26.63, 29, 27.98, 32.11, 40.24, 24.02, 35.56, 
##     36.02, 24.96, 29.01, 26.57, 37.6, 31.57, 35.26, 24.53, 27.44, 
##     30.68, 28.06, 35.44, 30.68, 27.32, 25.62, 26.63, 22.96, 29.26, 
##     26.54, 20.51, 33.23, 23.23, 23.48, 27.34, 36.58, 31.93, 25.8, 
##     21.97, 29.29, 31.25, 24.51, 24.13, 37.97, 30.9, 35.26, 32.71, 
##     22.6, 23.96, 32.49, 30.8, 20.12, 21.47, 24.96, 34.87, 21.41, 
##     33.23, 24.24, 20.2, 30.11, 26.61, 36.58, 28.37, 26.63, 28.7, 
##     39.53, 34.15, 28.89, 24.56, 25.06, 29.18, 24.37, 25.83, 28.35, 
##     21.26, 34.36, 24.33, 24.21, 26.45, 26.52, 29.26, 26.58, 24.13, 
##     23.74, 23.3, 26.96, 27.89, 17.63, 39.16, 27.44, 28.8, 39.94, 
##     40.24, 30.52, 31.45, 25.8, 20.53, 26.58, 26.61, 27.87, 30.68, 
##     28.13, 31.93, 21.3, 34.7, 21.14, 22.67, 38.62, 40.14, 30.41, 
##     29.76, 30.13, 27.27, 26.57, 25.82, 27.37, 27.37, 28.25, 40.97, 
##     20.47, 22.48, 46.59, 27.12, 26.31, 31.32, 24.89, 32.01, 25.83, 
##     29.21, 21.79, 35.15, 27.26, 25.77, 24.28, 20.66, 40.74, 25.1, 
##     37.66, 34.3, 15.97, 29.09, 30.11, 31.45, 25.07, 23.91, 29.84, 
##     31.06, 33.28, 25.51, 26, 25.84, 27.37, 32.55, 35.26, 22.89, 
##     32.56, 29.26, 23.17, 29.18, 26.15, 23.78, 30.04, 25.42, 22.71, 
##     32.45, 28.32, 23.83, 47.12, 21.52, 25.84, 22.63, 29.76, 38.8, 
##     28.74, 33.38, 25.4, 39.32, 27.37, 32.55, 28.5, 26.45, 26.79, 
##     32.28, 25.85, 22.05, 30.13, 24.39, 28.25, 23.52, 27.93, 34.19, 
##     37.12, 21.73, 29.53, 34.04, 19.94, 35.67, 24.89, 34.75, 34.46, 
##     25.97, 28.73, 39.06, 28.34, 23.72, 24.13, 26.54, 33.28, 33.66, 
##     23.49, 23.63, 19.58, 28.53, 29.99, 24.22, 27.12, 25.34, 36.49, 
##     29.53, 33.2, 23.01, 35.87, 28.87, 29.76, 23.49, 23.96, 24.37, 
##     28.04, 27.98, 20.8, 25.11, 28.48, 31.19, 23.81, 29.53, 31.63, 
##     26.61, 26.88, 25.06, 27.12, 36.02, 42.91, 21.97, 24.33, 29.1, 
##     38.09, 29.23, 24.33, 23.69, 27.2, 36.02, 25.09, 21.03, 22.5, 
##     27.12, 26.5, 37.76, 22.72, 22.32, 26.09, 24.46, 26.5, 36.32, 
##     29.29, 30.23, 20.55, 34.11, 26.61, 29.05, 20.66, 22.89, 36.44, 
##     29.18, 28.29, 28.13, 27.44, 23.89, 23.63, 29.05, 24.25, 34.67, 
##     31.51, 27.98, 23.63, 33.72, 29.53, 29.05, 25.75, 26.57, 25.61, 
##     20.18, 32.92, 25.85, 22.6, 24.53, 20.85, 22.6, 36.62, 35.51, 
##     33.38, 21.02, 34.46, 29.86, 31.09, 33.73, 30.34, 35.43, 21.93, 
##     23.49, 34.75, 23.67, 25.84, 36.58, 26.31, 23.78, 42.91, 20.98, 
##     22.92, 35.94, 29.92, 23.03, 29.18, 19.53, 23.78, 26.66, 34.54, 
##     29.65, 26.63, 31.17, 46.81, 24.55, 21.79, 24.89, 27.34, 21.97, 
##     27.37, 32.26, 31.89, 31.57, 30.13, 38.02, 29.26, 36.05, 34.14, 
##     35.31, 24.37, 30.11, 25.77, 41.97, 25.34, 38.74, 28.12, 30.11, 
##     33, 28.29, 39.48, 32.28, 25.07, 22.24, 25.8, 26.52, 29.86, 
##     30.54, 37.3, 23.4, 22.92, 26.78, 26.37, 29.99, 18.65, 39.48, 
##     33.99, 35.78, 30.41, 24.96, 22.45, 32.44, 29.82, 28.9, 36.02, 
##     32.1, 22.6, 33.75, 32.28, 14.92, 29.23, 22.5, 18.55, 27.37, 
##     29.18, 24.95, 22.6, 31, 28.59, 54.93, 28.34, 25.06, 27.44, 
##     29.18, 33.96, 32.12, 21.93, 29.29, 29.99, 30.85, 32.12, 40.35, 
##     25.77, 28.62, 36.58, 38.09, 20.62, 28.37, 25.8, 38.39, 21.14, 
##     21.52, 31.46, 31.01, 32.1, 51.49, 24.33, 23.17, 25.68, 21.13, 
##     28.89, 22.25, 32.89, 32.23, 25.84, 24.39, 29.84, 30.41, 27.07, 
##     27.12, 31.87, 23.67, 33.33, 21.93, 30.56, 18.56, 24.14, 18.97, 
##     33, 26, 25.75, 23.78, 36.61, 25.1, 26.63, 25.69, 26.5, 26.61, 
##     25.75, 25.11, 29.18, 28.25, 37.31, 30.41, 23.17, 26.45, 25.85, 
##     27.24, 28.21, 30.9, 29.29, 27.44, 29.68, 26.15, 32.11, 18.88, 
##     26.63, 24.39, 33.4, 22.31, 28.32, 24.56, 27.72, 34.21, 30.41, 
##     30.18, 34.33, 27.41, 25.73, 30.11, 31.75, 25.84, 26.58, 21.7, 
##     25.39, 27.65, 22.96, 27.26, 24.96, 34.08, 21.93, 32.98, 54.68, 
##     23.01, 19.37, 35.43, 27.44, 39.16, 27.37, 19.2, 27.44, 23.49, 
##     28.32, 33.91, 37.59, 31.89, 25.61, 30.41, 33.47, 37.97, 34.41, 
##     24.21, 36.96, 40.69, 29.03, 26.93, 45.98, 41.35, 22.67, 29.38, 
##     21.95, 23.65, 24.37, 22.32, 32.5, 35.78, 23.91, 22.46, 23.67, 
##     24.9, 22.89, 45.73, 23.75, 21.74, 23.71, 22.96, 25.09, 39.05, 
##     23.1, 27.89, 23.75, 26.63, 29.29, 26.54, 27.12, 25.02, 22.71, 
##     32.1, 35.43, 22.38, 26.63, 32.44, 30.43, 29.76, 25.09, 23.8, 
##     25.77, 26.15, 22.46, 24.3, 25.82, 40.72, 19.37, 27.6, 27.05, 
##     23.49, 25.09, 20.12, 23.35, 26.57, 22.31, 23.18, 26.63, 31.32, 
##     23.63, 37.5, 31.66, 23.49, 24, 32.08, 24.39, 26.63, 38.26, 
##     27.32, 36.05, 21.95, 22.67, 43.94, 24.03, 21.21, 24.21, 28.12, 
##     37.49, 42.57, 24, 29.05, 43.85, 31.57, 23.63, 24.02, 38.27, 
##     27.6, 25.06, 20.9, 25.75, 34.44, 52.52, 27.89, 31.38, 35.87, 
##     35.35, 28.32, 22.83, 28.13, 26.52, 22.32, 42.6, 29.84, 24.81, 
##     31.75, 25.02, 25.06, 26.95, 21.52, 25.77, 32.1, 28.19, 18.83, 
##     21.31, 35.44, 27.44, 22.31, 26.61, 36.26, 19.37, 22.32, 33.28, 
##     22.11, 25.1, 24.11, 20.6, 29.03, 22.67, 29.41, 25.79, 32.12, 
##     21.87, 24.39, 38.04, 23.63, 30.41, 29.18, 42.57, 24.02, 28.35, 
##     29.13, 30.13, 20.8, 21.77, 23.17, 59.27, 25.1, 31.66, 23.67, 
##     25.1, 25.19, 23.73, 23.52, 27.71, 24.89, 26.39, 24.96, 22.96, 
##     46.53, 36.62, 27.32, 27.37, 26.61, 26.63, 27.44, 33.28, 24.33, 
##     17.26, 28.25, 30.3, 33, 25.82, 28.31, 32.12, 38.01, 21.4, 
##     27.12, 24.96, 24.03, 31.75, 19.57, 32.28, 23.4, 29.94, 28.21, 
##     28.25, 24.96, 21.97, 27.12, 40.35, 23.78, 26.43, 20.41, 33.84, 
##     24.96, 21.77, 21.73, 37.24, 29.16, 32.11, 23.3, 24.28, 27.71, 
##     20.81, 25.77, 32.12, 26.15, 24.41, 19.01, 23.43, 36.03, 35.31, 
##     54.03, 21.79, 32.28, 37.76, 46.86, 38.27, 23.03, 22.96, 31.32, 
##     46.2, 29.76, 33.23, 44.94, 30.41, 23.67, 28.34, 28.46, 24.21, 
##     32.1, 25, 21.79, 23.73, 26.63, 35.19, 32.1, 23.52, 30.13, 
##     18.9, 25.1, 27.26, 26.63, 23.24, 21.93, 24.96, 32.28, 21.79, 
##     27.46, 25.84, 25.54, 23.03, 23.75, 20.36, 26.68, 34.59, 25.83, 
##     40.01, 22.96, 36.26, 23.67, 30.71, 24.33, 26.15, 37.08, 33.45, 
##     25.29, 46.69, 39.16, 27.98, 20.53, 25.09, 26.63, 21.68, 36.26, 
##     19.26, 32.96, 26.32, 39.16, 30.67, 35.94, 31.89, 24.27, 19.94, 
##     20.62, 26.63, 28.25, 45.73, 23.67, 28, 24.13, 35.44, 53.04, 
##     27.37, 38.39, 28.37, 21.29, 31.62, 20.92, 24.89, 23.67, 33.2, 
##     25.1, 22.46, 40.55, 29.41, 21.97, 24.41, 24.33, 26.63, 43.14, 
##     29.68, 43.58, 20.94, 32.77, 24.37, 26.5, 35.07, 27.46, 47.43, 
##     24.9, 28.13, 20.6, 36.26, 29.44, 24.28, 20.9, 22.6, 31.57, 
##     19.2, 33.09, 27.02, 30.11, 24.11, 27.89, 28.25, 28.25, 25.61, 
##     20.22, 42.57, 34.78, 23.57, 23.4, 37.31, 31.42, 23.26, 28.13, 
##     20.6, 25.77, 28.59, 29.23, 31.47, 35.73, 22.15, 24.33, 35.58, 
##     40.25, 32.61, 23.3, 27.25, 29.18, 21.95, 41.01, 25.79, 23.44, 
##     24.13, 32.28, 27.12, 33.45, 21.97, 21.41, 24.75, 34.87, 22.81, 
##     29.65, 23.3, 25.82, 23.49, 42.91, 40.18, 33.89, 21.47, 28.34, 
##     27.12, 25.75, 29.62, 31.66, 25.06, 20.94, 25.84, 37.7, 25.09, 
##     31.66, 24.8, 28.25, 27.85, 39.8, 31.85, 23.71, 30.52, 22.67, 
##     29.95, 21.38, 28.7, 24.8, 20.83, 19.79, 26.61, 38.62, 27.12, 
##     30.54, 20.6, 21.14, 38.55, 18.46, 31.47, 36.26, 37.79, 24.21, 
##     31.19, 24.28, 23.78, 32.23, 22.86, 23.01, 39.11, 32.92, 24.8, 
##     29.03, 54.32, 32.08, 44.2, 43.27, 40.06, 26.5, 28.9, 32.28, 
##     29.79, 25.08, 35.53, 22.32, 29.56, 28.19, 25.97, 49.43, 29.41, 
##     30.04, 23.01, 28.34, 39.94, 23.63, 27.46, 31.38, 24.41, 40.39, 
##     32.49, 32.5, 35.73, 27.99, 23.75, 27.89, 31.75, 19.97, 26.54, 
##     36.26, 20.47, 26.61, 36.36, 34.46, 26.63, 30, 24.39, 30.27, 
##     17.01, 26.58, 28.9, 27.2, 50.3, 34.33, 36.49, 23.73, 39.44, 
##     28.7, 23.81, 29.29, 31.75, 19.37, 23.63, 38.62, 40.69, 26.45, 
##     26.69, 24.79, 25.63, 21.62, 32.1, 28.97, 27.34, 22.8, 24.02, 
##     21.26, 24.39, 24.53, 25.61, 28.35, 27.41, 23.67, 32.5, 25.1, 
##     28.7, 49.92, 22.32, 20.18, 34.14, 25.82, 34.22, 33.72, 23.3, 
##     26.61, 37.2, 19.74, 33.28, 20.37, 20.92, 30.79, 36.96, 20.18, 
##     38.98, 29.27, 23.11, 22.81, 26.57, 20.37, 29.05, 26.5, 42.83, 
##     29.18, 29.29, 35.26, 38.44, 18.64, 24.33, 23.49, 22.31, 26.43, 
##     19.77, 22.24, 26.54, 26.58, 24.89, 24.28, 20.36, 21.03, 29.84, 
##     32.28, 34.67, 17.19, 26.63, 25.77, 35.96, 26.54, 34.95, 31.89, 
##     27.44, 26.04, 27.47, 19.14, 24.37, 22.31, 27.89, 29.29, 34.96, 
##     29.95, 30.68, 29.94, 25.84, 28.34, 39.33, 29.53, 36.89, 22.8, 
##     22.3, 30.85, 28.06, 26.83, 18.56, 25.79, 20.37, 28.89, 48.66, 
##     23.71, 26.63, 27.09, 24.03, 28.75, 33, 27.96, 28.29, 21.16, 
##     33.47, 30.41, 30.9, 24.96, 27.92, 27.29, 18.25, 24.9, 26.79, 
##     22.05, 29.87, 25.09, 37.76, 31.01, 28.7, 27.71, 35.3, 22.46, 
##     41.96, 33, 20.12, 31, 20.67, 30.41, 27.12, 27.37, 35.73, 
##     31.28, 26.63, 29.12, 22.6, 37.5, 27.46, 32.92, 25.1, 32.61, 
##     28.32, 23.91, 19.73, 23.4, 25.32, 22.92, 42.5, 27.62, 22.8, 
##     24.39, 24.34, 23.69, 38.74, 22.05, 28.25, 28.12, 32, 34.87, 
##     29.05, 19.11, 33.23, 25.75, 21.83, 25.79, 31.63, 25.09, 41.9, 
##     27.26, 25.4, 47.42, 30.04, 31.87, 32.08, 24.97, 30.13, 20.54, 
##     23.17, 31.87, 32.28, 39.48, 22.65, 36.28, 21.48, 21.97, 25.83, 
##     21.7, 35.97, 24.95, 25.84, 31.93, 33.96, 24.41, 32.08, 35.62, 
##     28.34, 32.11, 25.94, 29.15, 28.59, 21.14, 24.96, 24.13, 34.08, 
##     45.48, 46.81, 32.49, 21.95, 25.1, 29.84, 22.6, 28.82, 28.48, 
##     19.75, 24.09, 24.21, 28.25, 19.02, 30.67, 26.39, 25.29, 24.94, 
##     30.18, 27.44, 24.61, 24.33, 27.59, 33.72, 27.37, 23.66, 22.07, 
##     29.84, 25.51, 16.74, 26.29, 26.64, 32.77, 23, 32.78, 30.57, 
##     20.51, 31, 31.62, 30.54, 26.39, 36.58, 30.68, 23.63, 20.02, 
##     25.75, 28.67, 24.41, 27.32, 29.58, 24.34, 21.63, 34.87, 28.06, 
##     27.12, 21.87, 23, 31.01, 25.42, 19.53, 40.72, 31.57, 29.71, 
##     22.47, 25.09, 34.44, 24.37, 28.21, 42.91, 22.24, 22, 53.81, 
##     27.98, 37.11, 27.44, 34.33, 40.29, 49.92, 25.54, 22.81, 26.45, 
##     27.41, 29.23, 29.26, 33.09, 24.41, 21.7, 34.46, 28.34, 28.89, 
##     29.21, 26.76, 42.05, 40.24, 23.44, 25.34, 25.75, 22.81, 22.15, 
##     27.22, 28.19, 28.19, 29.65, 33.96, 29.53, 23.87, 29.76, 27.44, 
##     38.01, 33.47, 35.51, 38.74, 22.24, 28.12, 36.26, 30.3, 20.37, 
##     21.18, 28.34, 19.53, 33.28, 26.57, 26.61, 24.28, 26, 26.63, 
##     34.58, 22.46, 24.01, 24.51, 29.84, 29.53, 26.63, 24.09, 27.32, 
##     29.62, 37.66, 34.44, 31.75, 28.82, 22.32, 35.07, 26.57, 23.17, 
##     21.79, 20.98, 27.12, 30.13, 48.81, 24.96, 19.65, 30.13, 28.89, 
##     27.89, 20.22, 27.12, 29.53, 22.6, 21.09, 22.96, 21.79, 26.54, 
##     29.29, 30.54, 34.87, 21.3, 25.77, 30.67, 23.49, 23.87, 31.89, 
##     20.09, 45.06, 36.26, 31.46, 29.53, 21.11, 25.84, 27.12, 27.46, 
##     33.2, 31.47, 36.76, 26.95, 23.63, 21.43, 31.53, 20.18, 34.33, 
##     22.31, 18.52, 29.18, 35.78, 22.31, 22.05, 22.31, 27.89, 42.29, 
##     26.45, 24.09, 21.09, 26.09, 24.28, 22.31, 37.76, 33.68, 23.69, 
##     37.97, 30.83, 27.46, 25.84, 27.46, 23, 30.55, 25.11, 24.96, 
##     24.69, 21.14, 53.04, 25.08, 33.23, 22.81, 37.52, 28.25, 20.82, 
##     33.47, 36.59, 33.36, 35.15, 32.08, 41.6, 28.19, 35.11, 31.75, 
##     27.37, 33.45, 29.05, 31.25, 59.22, 32.78, 24, 28.21, 26.95, 
##     31.93, 20.12, 35, 31.93, 25.75, 24.89, 25.68, 27.67, 26.63, 
##     28.95, 32.28, 27.72, 30.68, 28.89, 26.63, 23.06, 26.29, 25.75, 
##     35.9, 52.42, 24.87, 24.39, 22.32, 25.61, 25.69, 32.61, 36.68, 
##     27.67, 34.58, 15.78, 29.65, 25.77, 27.46, 27.1, 25.02, 28.8, 
##     31.19, 26.52, 22.15, 27.6, 25.06, 30.04, 26.37, 35.43, 21.63, 
##     25.69, 24.21, 25.38, 27.37, 24.41, 28.37, 31.09, 17.16, 44.29, 
##     24.8, 24.69, 39.06, 28.48, 20.34, 25.75, 29.29, 26.54, 29.08, 
##     20.09, 33.67, 27.44, 27.89, 29.29, 27.26, 22.24, 20.2, 24.94, 
##     17.81, 37.76, 28.89, 45.58, 27.48, 30.52, 30.55, 19.25, 28.19, 
##     39.16, 27.2, 18.25, 27.44, 21.94, 29.7, 29.76, 22.14, 29.05, 
##     27.98, 21.46, 43.07, 32.98, 25.69, 34.33, 28.59, 31.09, 30.7, 
##     37.11, 26.46, 23.71, 25.61, 25.1, 22.05, 41.35, 29.05, 29.05, 
##     25.77, 31.93, 26.26, 27.76, 27.46, 23.57, 37.31, 44.3, 21.14, 
##     23.43, 23.43, 21.08, 35.78, 33.96, 25.68, 36.92, 35.58, 32.5, 
##     32.89, 26.52, 24.39, 21.09, 24.41, 40.69, 27.06, 27.44, 32.61, 
##     32.61, 37.12, 25.82, 29.99, 23.49, 24.8, 28.57, 37.76, 24.54, 
##     20.03, 28.34, 38.37, 18.56, 27.26, 39.94, 28.75, 27.6, 25.15, 
##     25, 34.44, 23.91, 33.91, 27.81, 26.09, 34.7, 25.04, 29.35, 
##     36.73, 41.96, 41.15, 30.23, 39.48, 25.84, 35.43, 25.09, 31.89, 
##     26.63, 27.73, 43.27, 20.34, 26.61, 18.88, 24.39, 40.17, 25.85, 
##     28.29, 25.75, 25.85, 29.68, 28.19, 35.87, 29.08, 19.75, 29.24, 
##     31.09, 31.89, 22.38, 37.79, 23.67, 22.15, 29.18, 34.54, 27.34, 
##     32.55, 25.25, 20.6, 22.96, 22.6, 25.11, 24.33, 34.87, 33.89, 
##     34.37, 32.89, 26.57, 28.34, 23.72, 27.98, 22.81, 31.66, 39.16, 
##     32.11, 29.04, 31.74, 21.11, 32.08, 33, 35.15, 24.03, 21.63, 
##     33.75, 61.28, 18.08, 22.13, 31.25, 26.5, 34.11, 32.28, 32.28, 
##     26.29, 28.59, 20.12, 37.66, 33.91, 35.87, 27.26, 28.89, 26.63, 
##     34.7, 26.45, 28.35, 22.38, 24.39, 22.14, 32.28, 25.75, 38.37, 
##     37.9, 25.75, 36.85, 21.97, 21.29, 23.69, 28.15, 33.28, 26.57, 
##     38.74, 37.2, 29.23, 20.63, 33.47, 33.61, 27.12, 26.61, 19.97, 
##     23.73, 30.17, 25.08, 24.21, 33.75, 20.2, 22.36, 27.89, 32.28, 
##     30.04, 21.63, 24.41, 24.21, 30.67, 31.75, 43.05, 31.75, 23.67, 
##     38.11, 28.37, 37.6, 18.87, 24.13, 30, 25.73, 37.45, 23.65, 
##     28.51, 45.76, 20.47, 20.98, 43.05, 18.55, 30.41, 31.62, 25.61, 
##     25.34, 27.89, 27.12, 36.61, 27.96, 29.16, 23.09, 26.93, 32.92, 
##     25.8, 56.7, 20.48, 33.59, 38.3, 24.41, 28.29, 29.95, 26.63, 
##     29.53, 24.37, 37.97, 35.43, 29.85, 26.63, 23.52, 29.26, 19.46, 
##     20.66, 19.47, 24.41, 30.62, 20.05, 25.15, 25.04, 25.75, 20.12, 
##     25.51, 42.07, 32.01, 25.77, 34.02, 33.96, 22.86, 28.19, 25.61, 
##     28.32, 25.1, 23.4, 24.41, 29.26, 33.36, 25.75, 33.07, 15.59, 
##     28.48, 41.35, 32.55, 30.9, 24.96, 25.75, 32.01, 24.03, 30.99, 
##     25.08, 28.29, 25.56, 39.06, 22.5, 23.29, 25.79, 53.25, 29.45, 
##     20.12, 41.84, 21.21, 23.03, 23.4, 23.63, 29.87, 23.49, 26.12, 
##     30.52, 22.71, 24.96, 42.23, 37.76, 28.06, 59.67, 52.95, 19.85, 
##     29.86, 31.32, 28.45, 28.34, 21.91, 33.23, 28.19, 20.8, 19.58, 
##     21.93, 30.68, 17.49, 24.41, 27.46, 33.45, 39.49, 25.84, 23.49, 
##     26.96, 27.46, 25.82, 32.43, 25.24, 24.39, 42.07, 23.43, 27.6, 
##     40.24, 30.41, 26.45, 30.13, 25.61, 22.89, 25.36, 34.01, 30.81, 
##     31.01, 24.86, 31.41, 25.77, 32.77, 23.63, 24.95, 30.11, 44.29, 
##     27.46, 30.9, 29.95, 27.26, 26.26, 23.01, 32.61, 54.93, 34.95, 
##     22.81, 28.7, 14.63, 25.82, 26.57, 28.41, 24.8, 29.18, 28.29, 
##     27.46, 24.21, 35.26, 26.96, 21.79, 24.8, 25.75, 26.96, 39.32, 
##     27.57, 39.54, 23.44, 27.44, 40.24, 50.07, 13.82, 32.89, 31.57, 
##     23.71, 28.25, 39.14, 29.43, 23.62, 32.55, 19.91, 29.53, 27.37, 
##     26.54, 32.95, 27.37, 27.4, 31.09, 23.38, 37.21, 29.18, 26.39, 
##     22.31, 29.53, 32.45, 28.48, 32.55, 26.26, 27.79, 25.11, 41.01, 
##     23.06, 29.99, 22.5, 31, 26.63, 35.87, 27.89, 37.93, 23.49, 
##     35.67, 27.46, 29.12, 22.6, 25.68, 30.13, 21.14, 21.94, 22.45, 
##     28.32, 27.26, 26.5, 24.62, 24.2, 31.74, 20.61, 27.32, 31.01, 
##     30.85, 32.28, 25.11, 21.26, 28.13, 24.21, 31.62, 41.81, 35.14, 
##     31.17, 25.09, 35.26, 25.1, 26.5, 25.8, 38.35, 22.81, 28.25, 
##     26.29, 35.24, 29.68, 34.34, 26.39, 26.63, 29.18, 16.64, 30.98, 
##     22.38, 23.3, 26.54, 23.3, 27.41, 28.48, 28.89, 42.68, 46.52, 
##     30.52, 29.65, 28.34, 19.58, 21.41, 29.99, 31.46, 47.47, 23.06, 
##     40.82, 31, 23.03, 25.78, 40.01, 33.47, 27.46, 25.4, 29.05, 
##     18.62, 38.96, 27.44, 35.3, 20.77, 40.62, 39.06, 21.63, 27.46, 
##     29.12, 30.54, 30.11, 24.28, 31.75, 25.1, 22.14, 27.37, 23.57, 
##     26.25, 50.12, 37.2, 51.49, 29.23, 26.63, 31.17, 22.71, 31.93, 
##     25.83, 27.26, 21.02, 28.95, 33.14, 38.01, 23.63, 40.24, 26.04, 
##     27.12, 25.61, 21.26, 25.61, 29.76, 27.4, 28.21, 30.79, 30.68, 
##     20.83, 19.97, 32.28, 45.26, 17.72, 39.13, 31.53, 32.95, 31.19, 
##     20.7, 33.38, 24.28, 35.62, 25.84, 26.95, 27.44, 33.63, 25.77, 
##     39.05, 22.38, 27.37, 28.49, 25.09, 34.14, 20.08, 23.91, 25.61, 
##     31.44, 26.97, 30.85, 25.91, 25.82, 24.82, 22.89, 29.68, 41.35, 
##     25.08, 33.84, 40.35, 20.67, 31, 34.33, 35.36, 35.67, 26.54, 
##     15.41, 30.41, 36.25, 25.69, 36.31, 24.23, 29.05, 22.8, 33.29, 
##     25.82, 32.11, 25.09, 20.78, 36.02, 48.92, 27.41, 30.79, 25.06, 
##     23.91, 24.45, 34.61, 36.03, 31.89, 26.52, 44.11, 36.52, 26.63, 
##     25.13, 20.12, 29.35, 31.32, 32.49, 18.99, 19.01, 26.54, 22.15, 
##     22.46, 51.69, 39.53, 28.34, 23.42, 21.51, 28.59, 31.93, 35.43, 
##     29.53, 20.18, 25.84, 38.77, 32.22, 24.41, 37.97, 24.13, 30.67, 
##     37.79, 25.84, 26.58, 24.82, 22.31, 20.12, 26.32, 25.61, 27.46, 
##     24.37, 30.72, 24.41, 26.63, 38.01, 48.45, 25.61, 27.2, 28.8, 
##     33.3, 24.14, 30.11, 35.94, 29.23, 25.61, 33.45, 39.15, 27.02, 
##     25.02, 25.1, 27.89, 34.44, 26.15, 21.81, 28.29, 27.2, 21.52, 
##     24.61, 18.46, 38.97, 24.03, 32.91, 24.13, 37.31, 52.89, 36.22, 
##     29.18, 30.54, 26.45, 16.5, 43.77, 24.01, 30.67, 30.9, 25.86, 
##     23.41, 23.57, 38.01, 22.81, 44.81, 20.67, 28.89, 28.97, 19.37, 
##     20.8, 31.15, 27.46, 26.57, 27.88, 32.01, 18.36, 32.12, 25.77, 
##     24.03, 32.42, 37.97, 39.48, 28.07, 25.77, 19.14, 28.97, 24.41, 
##     21.29, 34.96, 26.78, 31.09, 22.96, 24.56, 42.68, 25.83, 24.96, 
##     23.33, 23.67, 22.71, 24.41, 23.3, 25.42, 36.12, 24.41, 21.62, 
##     27.12, 30.9, 28.67, 33.96, 22.68, 30.54, 20.53, 29.84, 27.46, 
##     27.05, 31.62, 37.86, 23.03, 30.41, 34.3, 32.92, 29.26, 35.35, 
##     26.63, 34.3, 29.05, 35.15, 27.91, 25.09, 26.54, 40.46, 25.8, 
##     27.44, 22.31, 31.19, 25.09, 18.13, 20.53, 29.53, 25.77, 27.1, 
##     30.27, 31, 24.8, 26.16, 20.75, 25.92, 31.18, 21.14, 34.21, 
##     20.02, 48.62, 25.75, 21.13, 24.02, 25.79, 37.76, 36.49, 32.89, 
##     31.57, 39.5, 25.1, 27.71, 22.81, 29.29, 30.34, 24.41, 32.26, 
##     29.53, 26.5, 24.03, 18.88, 20.3, 35.07, 41.96, 29.68, 38.35, 
##     31.01, 31.93, 32.49, 37.12, 30.54, 32.1, 33.45, 36.39, 26.61, 
##     31.45, 27.81, 24.33, 28.25, 28.7, 24.82, 25.06, 36.02, 26.63, 
##     31.25, 30.73, 30.68, 27.44, 34.75, 25.69, 30.18, 29.68, 22.24, 
##     39.54, 35.26, 22.5, 37.94, 29.53, 23.33, 17.71, 22.24, 26.29, 
##     20.56, 26.57, 26.39, 25.73, 19.77, 32.92, 39.33, 25, 24.41, 
##     37.5, 33.66, 27.98, 26.63, 30.38, 22.67, 30.41, 25.84, 34.97, 
##     24.78, 27.46, 27.46, 29.53, 25.68, 18.33, 36.94, 29.53, 23.67, 
##     24.69, 23.49, 36.59, 32.49, 23.4, 29.65, 25.77, 28.84, 25.1, 
##     28.06, 31.89, 29.12, 34.36, 28.97, 35.26, 30.68, 23.78, 31.18, 
##     31.89, 35.78, 29.26, 19.37, 32.89, 33, 29.16, 24.13, 46.52, 
##     26.04, 35.51, 25.1, 24.33, 24.22, 27.12, 29.37, 21.7, 28.7, 
##     42.91, 23.75, 32.11, 25.79, 29.84, 19.01, 27.12, 28.89, 21.26, 
##     30.67, 30.41, 26.63, 23.4, 28.89, 31.32, 31.17, 23.67, 27.32, 
##     45.61, 25.83, 31, 28.91, 31.75, 30.13, 19.58, 27.12, 21.52, 
##     35.44, 30.27, 25.5, 24.69, 29.12, 31.25, 21.4, 22.96, 32.78, 
##     26.63, 34.44, 24.37, 42.83, 22.31, 38.38, 25.82, 23.44, 34.76, 
##     32.28, 28.97, 27.46, 30.81, 28.34, 29.05, 22.89, 36.61, 43.9, 
##     24.03, 33.35, 27.37, 25.37, 29.26, 41.96, 33, 20.8, 30.99, 
##     29.53, 22.6, 30.27, 20.37, 42.57, 36.49, 31.38, 31.66, 30.72, 
##     24.41, 17.25, 34.44, 30.23, 34.34, 44.29, 29.76, 25.1, 37.11, 
##     32.78, 29.84, 41.2, 26.63, 30.81, 25.82, 19.49, 27.06, 24.37, 
##     33.23, 21.22, 20.12, 31.32, 18.89, 29.41, 20.98, 27.88, 23, 
##     29.26, 29.03, 22.6, 24.39, 21.03, 23.23, 26.45, 25.02, 24.68, 
##     18.29, 29.99, 25.77, 19.46, 24.96, 25.68, 38.84, 27.12, 25.25, 
##     28.79, 19.97, 27.12, 32.95, 26.54, 27.26, 21.83, 21.41, 25.24, 
##     31.14, 35.51, 25, 39.16, 28.29, 21.95, 27.12, 30.23, 24.83, 
##     32.61, 25.77, 24.27, 30.18, 25.09, 21.79, 26.57, 34.44, 22.05, 
##     55.1, 24.21, 19.53, 22.86, 30.67, 27.62, 23.17, 25.62, 42.09, 
##     29.76, 34.59, 43.77, 29.94, 31.58, 22.46, 25.82, 25.77, 23.49, 
##     38.02, 53, 37.59, 21.58, 26.29, 31, 33.91, 26.57, 40.27, 
##     28.89, 28.19, 23.99, 28.89, 48.66, 30.52, 34.95, 21.26, 27.34, 
##     22.31, 32.08, 33.28, 27.46, 29.12, 30.68, 33.96, 40.81, 29.86, 
##     30.67, 24.39, 25.82, 31.32, 25.46, 36.03, 36.31, 24.37, 23.4, 
##     30.85, 30.29, 31.93, 23.13, 44.3, 49.48, 24.53, 30.23, 40.18, 
##     23.75, 28.84, 25.06, 27.37, 34.17, 34.37, 27.37, 20.2, 23.57, 
##     35.51, 23.44, 25.8, 22.81, 26.95, 22.32, 28.7, 39.33, 26.95, 
##     23.03, 19.79, 27.46, 29.41, 36.49, 29.99, 31.01, 28.48, 32.35, 
##     27.37, 19.2, 29.12, 25.96, 31.87, 38.28, 19.49, 45.76, 47.55, 
##     23.56, 22.05, 27.79, 28.35, 21.26, 38.52, 25.13, 29.12, 28.68, 
##     32.92, 36.94, 33.38, 19.53, 20.18, 43.65, 35.87, 28.97, 26.57, 
##     31.19, 33.57, 21.93, 25.84, 35.53, 27.39, 21.26, 24.69, 29.05, 
##     32.08, 28.06, 29.29, 15.77, 27.6, 20.22, 19.69, 26.11, 27.46, 
##     29.99, 23.08, 24.87, 26.32, 22.38, 32.42, 28.63, 21.29, 19.74, 
##     27.63, 31.47, 27.26, 22.69, 29.26, 30.39, 20.09, 46.06, 25.82, 
##     30.11, 26.15, 21.76, 24.41, 30.67, 23.49, 26.61, 28.8, 22.86, 
##     39.3, 59.07, 30.43, 34.18, 29.29, 32.55, 30.27, 47.5, 33.89, 
##     26.63, 27.39, 25.61, 21.26, 24.96, 32.89, 22.6, 25.83, 32.36, 
##     28.8, 24.96, 39.06, 32.61, 28.97, 24.8, 28.8, 24.89, 25.84, 
##     22.38, 33.99, 44.76, 50.9, 22.26, 36.26, 22.87, 39.46, 29.29, 
##     23.06, 25, 31.38, 31.2, 27.67, 43.9, 24.8, 33.61, 27.63, 
##     25.07, 30.34, 19.74, 40.69, 29.35, 23.3, 28.25, 25.06, 22.47, 
##     21.26, 26.57, 25.82, 22.38, 30.27, 31.47, 33.28, 33.29, 44.4, 
##     53.72, 22.32, 29.18, 28.89, 24.21, 24.03, 28.8, 27.37, 31.25, 
##     27.32, 22.6, 35.51, 24.41, 33.91, 18.29, 33.28, 21.93, 21.61, 
##     31.18, 28.27, 28.32, 22.05, 26.61, 24.21, 24.56, 23.74, 30.54, 
##     27.44, 25.83, 31.62, 25.8, 30.81, 20.81, 20.34, 21.14, 23.4, 
##     50.18, 29.53, 26.37, 32.87, 32.08, 44.39, 29.46, 27.37, 33.45, 
##     30.54, 19.4, 28.34, 25.51, 33.82, 35.24, 32.61, 25.69, 21.81, 
##     27.46, 25.06, 30.68, 20.01, 24.37, 22.6, 22.67, 25.77, 32.61, 
##     33, 43.05, 30.04, 40.69, 21.63, 21.79, 25.06, 26.54, 21.11, 
##     22.32, 38.62, 23.57, 24.96, 32.1, 28.89, 24.28, 36.92, 26.61, 
##     41.6, 36.17, 26.45, 40.39, 25.5, 32.08, 24.21, 27.44, 25.06, 
##     23.44, 25.1, 35.94, 24.41, 22.59, 32.08, 32.08, 39.68, 41.81, 
##     23.75, 27.46, 24.39, 19.94, 24.21, 31.53, 27.37, 27.32, 25.78, 
##     26.63, 25.84, 23.01, 35.61, 27.2, 22.14, 25.83, 26.15, 28.7, 
##     21.86, 36.54, 22.34, 22.15, 25.24, 23.57, 22.25, 30.02, 24.21, 
##     27.89, 39.16, 20.6, 29.95, 32.67, 31.01, 20.6, 29.99, 25.68, 
##     26.39, 23.75, 29.41, 34.11, 35.19, 39.06, 30.41, 30.29, 31.87, 
##     18.31, 32.28, 31.32, 24.67, 30.11, 30.13, 27.44, 25.75, 26.32, 
##     24.96, 22.31, 25, 29.29, 22.31, 31.32, 18.6, 32.89, 33.91, 
##     21.95, 27.22, 26.63, 18.19, 27.32, 24.39, 25.61, 28.97, 15.5, 
##     23.63, 25.82, 26.32, 34.11, 22.6, 39.43, 33.45, 35.15, 39.48, 
##     33.28, 30.61, 52.77, 34.01, 26.15, 22.86, 26.61, 21.58, 30.67, 
##     29.62, 29.57, 29.48, 19.58, 28.89, 22.31, 29.95, 28.34, 26.43, 
##     30.85, 28.46, 40.24, 29.03, 27.98, 20.09, 28.89, 26.5, 25.61, 
##     21.02, 39.37, 29.03, 50.95, 62.65, 25.84, 27.46, 36.58, 32.92, 
##     23.24, 26.31, 25.97, 37.25, 39.32, 39.03, 24.39, 30.79, 27.44, 
##     53.71, 22.3, 41.5, 39.84, 20.78, 25.51, 25.77, 32.98, 28.53, 
##     25.4, 34.31, 25.1, 41.01, 32.54, 26.31, 36.02, 24.97, 25.85, 
##     26.65, 39.48, 39.13, 45.61, 32.55, 41.84, 27.37, 20.67, 31.32, 
##     27.37, 23.75, 31.75, 21.7, 26.87, 29.95, 26.3, 27.6, 29.94, 
##     29.68, 28.34, 41.94, 29.86, 32.61, 23.06, 45.49, 20.37, 45.66, 
##     34.87, 27.46, 17.92, 34.46, 28.06, 31.32, 21.93, 32.55, 34.01, 
##     28.52, 35.9, 21.26, 31.95, 28.84, 32.42, 37.66, 32.61, 29.13, 
##     25.62, 28.12, 28.01, 33.45, 23.06, 29.76, 44.39, 23.78, 22.92, 
##     25.75, 43.79, 25.11, 27.81, 21.14, 27.41, 34.33, 32.26, 18.3, 
##     28.13, 27.34, 24.78, 53.85, 33.91, 28.89, 24.96, 29.76, 28.25, 
##     31.25, 18.25, 24.56, 30.9, 25.8, 35.9, 20.6, 42.23, 23.11, 
##     29.86, 19.77, 28.37, 23.63, 25, 28.32, 29.21, 33.66, 34.33, 
##     27.98, 25.8, 50, 27.63, 26.29, 27.46, 25.75, 23.4, 31.06, 
##     23.4, 26.34, 56.55, 25.61, 23.99, 23.62, 31.62, 28.06, 35.57, 
##     39.32, 26.85, 24.41, 32.22, 19.37, 28.25, 27.37, 23.01, 25.75, 
##     30.67, 46.99, 43.46, 22.6, 21.46, 26.52, 29.12, 25.11, 29.76, 
##     33.89, 25.61, 29.48, 50.94, 25.8, 25.77, 36.92, 21.26, 27.71, 
##     14.08, 30.18, 28.8, 27.34, 26.63, 37.11, 20.66, 36.58, 37.25, 
##     32.55, 27.48, 19.37, 25.11, 27.8, 22.86, 28.75, 22.14, 15.06, 
##     27.26, 31, 25.09, 30.81, 22.14, 31.57, 25.09, 27.8, 29.53, 
##     32.45, 20.67, 28.25, 29.05, 28.48, 28.8, 32.88, 30.85, 30.13, 
##     27.12, 24.89, 23.78, 33.45, 23.11, 19.49, 32.92, 22.4, 32.49, 
##     23.01, 29.86, 43.9, 31.33, 40.35, 42.18, 27.22, 20.12, 29.18, 
##     29.65, 43.9, 28.34, 27.44, 25.09, 39.79, 29.53, 29.84, 20.36, 
##     18.16, 22.38, 42.97, 25.66, 33.45, 31.89, 25.24, 24.69, 22.32, 
##     27.05, 33.91, 32.43, 30.47, 28.89, 37.59, 24.43, 27.12, 19.11, 
##     30.9, 28.25, 23.67, 26.61, 24.96, 23.41, 25.85, 28.29, 33.23, 
##     27.98, 29.76, 24.37, 25.55, 23.75, 35.93, 35.15, 34.84, 27.26, 
##     29.24, 22.6, 25.56, 27.46, 36.26, 25.75, 24.89, 33.2, 21.95, 
##     35.43, 36.9, 30.34, 27.12, 37.5, 28.48, 25.77, 30.9, 25.06, 
##     23.86, 25.42, 25.77, 23.73, 36, 32.08, 26.88, 31.28, 34.08, 
##     22.67, 26.45, 24.34, 26.5, 31.62, 34.56, 23.63, 25.18, 20.6, 
##     25.83, 42.51, 30.11, 25.84, 27.44, 30.56, 27.37, 27.98, 16.18, 
##     25.06, 24.21, 21.14, 30.13, 24.41, 24.95, 23.57, 21.26, 33.89, 
##     24.28, 19.58, 24.19, 28.89, 26.61, 35.15, 29.54, 19.53, 24.37, 
##     24.41, 25.69, 19.64, 26.78, 37.66, 30.9, 31.46, 60.86, 26.5, 
##     28.32, 28.19, 18.14, 27.26, 33.09, 28.41, 26.61, 26.04, 34.9, 
##     22.6, 34.18, 40.35, 30.85, 20.48, 19.77, 22.6, 25.02, 28.7, 
##     31.09, 35.15, 24.21, 33.3, 26.29, 29.56, 31.17, 48.82, 27.46, 
##     23.69, 21.46, 30.72, 38.39, 26.5, 22.46, 26.58, 27.44, 21.26, 
##     39.16, 27.46, 28.9, 28.34, 39.06, 20.81, 31.6, 22.31, 31.32, 
##     24.21, 20.8, 28.47, 22.14, 20.78, 24.21, 31.32, 22.31, 43.82, 
##     25.82, 32.12, 25.69, 27.46, 31.57, 22.6, 32.49, 34.58, 34.33, 
##     41.05, 21.66, 24.14, 25.83, 22.05, 27.98, 25.1, 29.16, 30.99, 
##     21.29, 24.89, 23.75, 27.37, 29.95, 41.61, 22.46, 22.6, 21.93, 
##     23.38, 29.05, 28.48, 23.71, 27.46, 22.5, 21.31, 39.5, 24.37, 
##     20.52, 28.34, 24.41, 40.1, 30.07, 30.9, 22.96, 26.61, 21.73, 
##     26.63, 32.55, 25.4, 37.93, 43.77, 23.49, 32.28, 19.8, 39.86, 
##     32.61, 26.58, 29.95, 25.09, 32.69, 24.21, 19.74, 27.26, 23.26, 
##     23.49, 24.39, 41.61, 29.26, 22.4, 21.79, 37.73, 19.53, 34.96, 
##     36.05, 28.98, 32.28, 39.94, 20.43, 29.84, 23.86, 32.11, 26.58, 
##     18.3, 30.47, 23.3, 26.69, 27.8, 28.29, 19.77, 36.62, 29.26, 
##     27.46, 35.87, 24.96, 32.01, 26.45, 25.06, 34.97, 31.57, 21.63, 
##     27.5, 31.75, 37.97, 27.46, 21.63, 29.52, 34.75, 22.5, 28.06, 
##     38.01, 18.29, 23.49, 25.1, 35.43, 31.93, 30.68, 35, 23.05, 
##     26.18, 42.76, 45.19, 31.01, 22.31, 38.28, 25.75, 21.31, 30.68, 
##     22.67, 27.46, 20.12, 31.71, 21.95, 31.98, 26.63, 43.46, 44.29, 
##     22.81, 29.53, 24.11, 28.7, 27.46, 33.28, 41.54, 29.81, 22.6, 
##     18.31, 31.89, 20.5, 24.13, 19.53, 19.37, 23.03, 26.98, 26.45, 
##     29.03, 33.52, 27.41, 20.53, 34.33, 26.95, 30.54, 45.91, 34.33, 
##     30.99, 25.54, 28.06, 23.13, 22.31, 29.19, 26.58, 25.11, 23.63, 
##     51.02, 33.47, 21.95, 24.41, 24.37, 30.67, 33.66, 27.46, 30.41, 
##     23.03, 36.36, 34.02, 32.12, 34.67, 32.98, 38.97, 21.46, 21.52, 
##     21.93, 29.68, 26.58, 29.1, 25.52, 31.57, 29.95, 42.72, 34.9, 
##     26.37, 16.5, 21.79, 27.96, 25.69, 24.89, 31.74, 40.69, 44.09, 
##     23.57, 50.03, 26.57, 53.14, 30.9, 32.61, 35.44, 35.26, 31.25, 
##     24.28, 25.37, 26.45, 26.63, 25.69, 22.15, 14.88, 22.81, 32.01, 
##     22.69, 31.38, 25.51, 34.87, 33, 28.98, 27.12, 21.95, 36.02, 
##     30.68, 23.06, 23.01, 19.53, 21.35, 30.41, 34.73, 30.51, 28.06, 
##     23.91, 35.9, 47.47, 21.21, 28.35, 23.33, 21.8, 26.5, 22.14, 
##     25.68, 25.1, 26.58, 29.14, 32.5, 30.54, 31.01, 33.91, 25.13, 
##     18.83, 25.75, 31.32, 32.45, 22.67, 30.99, 21.26, 18.88, 38.97, 
##     36.62, 26.5, 29.99, 31.58, 31.57, 37.12, 29.44, 27.37, 37.93, 
##     25.46, 34.76, 30.41, 25.1, 25.61, 23.67, 44.76, 27.46, 28.13, 
##     26.26, 26.61, 25.8, 29.95, 32.69, 30.68, 27.92, 23.75, 28.75, 
##     24.03, 38.37, 27.46, 49.13, 26.63, 25.08, 24.75, 21.29, 29.53, 
##     25.75, 33.72, 38.97, 25.73, 21.26, 18.3, 21.14, 25.83, 20.54, 
##     29.41, 29.05, 35.44, 25.66, 23.49, 22.38, 30.9, 26.63, 20.6, 
##     42.07, 22.6, 30.9, 31.93, 30.41, 29.68, 41.34, 27.12, 33.28, 
##     21.03, 37.66, 28.59, 31.18, 31.01, 25.84, 19.01, 30.66, 23.01, 
##     40.24, 34.72, 23.06, 35.15, 24.37, 31.32, 22.89, 34.7, 26.57, 
##     25.85, 24.02, 29.41, 18.46, 18.37, 20.36, 30.34, 22.46, 40.72, 
##     24.75, 22.86, 22.6, 24.96, 32.49, 51.21, 17.94, 23.49, 32.11, 
##     24.69, 27.2, 28.98, 26.61, 38.02, 39.58, 27.34, 18.79, 28.34, 
##     27.37, 29.12, 18.41, 30.79, 27.32, 24.11, 27.37, 25.99, 38.62, 
##     23, 32.1, 26.37, 22.38, 28.8, 28.34, 25.09, 17.92, 29.68, 
##     21.93, 31.66, 20.92, 25.06, 40.35, 26.63, 25.1, 26.52, 30.18, 
##     24.38, 35.43, 33.07, 38.01, 26.04, 30.67, 23.26, 23.11, 33.82, 
##     22.6, 25.09, 24.8, 36.02, 42.29, 19.3, 28.7, 14.69, 25.79, 
##     21.26, 20.54, 37.76, 27.46, 30.3, 23.4, 29.23, 30.67, 22.47, 
##     31.01, 31, 29.29, 47.13, 19.37, 22.71, 27.89, 31.25, 21.93, 
##     25.42, 19.22, 19.77, 30, 21.7, 23.73, 27.44, 23.75, 31.19, 
##     26.63, 22.6, 37.97, 28.7, 21.26, 22.53, 28.7, 27.44, 20.08, 
##     23.06, 25.8, 33.28, 33.38, 42.91, 62, 25.09, 32.28, 41.6, 
##     25.1, 39.11, 33.23, 25.75, 22.3, 22.31, 27.93, 31.57, 33.47, 
##     29.05, 22.6, 29.04, 30.41, 24.79, 23.73, 21.93, 29.84, 27.26, 
##     30.52, 30.04, 25.39, 22.38, 24.72, 27.44, 23.05, 20.07, 35.44, 
##     22.11, 26.58, 22.86, 19.74, 31.47, 26.12, 23.17, 19.2, 25.69, 
##     25.42, 19.2, 23.57, 23.34, 30, 32.92, 23.13, 26.63, 23.4, 
##     36.05, 20.99, 21.21, 30.04, 24.69, 22.67, 24.55, 25.85, 28.8, 
##     30.41, 21.12, 19.14, 35.62, 26.54, 23.34, 27.46, 32.59, 24.45, 
##     28.34, 23.73, 24.21, 27.26, 22.81, 22.38, 25.75, 18.01, 28.06, 
##     28.34, 31.18, 30.41, 26.63, 24.13, 26.11, 23.73, 23.4, 21.63, 
##     47.55, 27.26, 20.18, 25.77, 19.37, 21.79, 26.58, 39.53, 29.05, 
##     27.99, 27.46, 24.41, 33.91, 23.03, 29.23, 27.46, 20.51, 32.69, 
##     22.63, 23.39, 31, 33.64, 27.06, 25.7, 29.53, 20.18, 29.84, 
##     21.63, 34.87, 25.11, 31, 24.13, 23.78, 35.44, 36.62, 28.32, 
##     27.46, 28.06, 33, 28.48, 24.21, 27.26, 25.23, 33.47, 24.82, 
##     25.11, 32.98, 23.73, 33, 25.69, 21.7, 53.14, 24.21, 28.7, 
##     22.86, 33.28, 24.8, 29.53, 34.7, 20.51, 36.92, 32.12, 31.93, 
##     28.37, 31.57, 22.5, 27.73, 21.31, 22.71, 24.41, 21.63, 29.26, 
##     26.15, 25.79, 28.34, 27.89, 32.28, 29.43, 24.41, 22.6, 29.38, 
##     22.6, 33.47, 28.19, 25.02, 36.34, 29.18, 32.49, 29.84, 25.77, 
##     26.63, 28.29, 19.22, 20.37, 33.91, 22.86, 29.95, 19.14, 21.31, 
##     22.31, 29.76, 27.46, 38.01, 20.98, 36.61, 21.02, 24.96, 28.48, 
##     21.7, 27.26, 23.26, 28.7, 31.74, 28.59, 27.2, 37.76, 24.37, 
##     20.98, 27.46, 25.61, 31.32, 25.1, 47.55, 33.47, 28.8, 29.21, 
##     27.82, 25.85, 26.63, 34.39, 21.93, 23.29, 24.21, 21.46, 14.1, 
##     31.35, 40.45, 19.13, 20.51, 36.95, 19.67, 27.32, 24.96, 22.31, 
##     38.41, 25.33, 25.04, 26.63, 25.82, 19.64, 29.6, 24.46, 21.63, 
##     23.03, 26.63, 26.83, 25.1, 27.98, 25.1, 25.83, 20.34, 29.65, 
##     35.31, 31.01, 23.17, 23.57, 38.74, 26.61, 17.71, 41.6, 27.44, 
##     34.33, 23.78, 25.84, 29.53, 27.44, 29.18, 29.84, 28.97, 31.57, 
##     24.21, 36.19, 27.8, 25.07, 24.46, 23.69, 17.85, 27.46, 34.97, 
##     24.8, 33.23, 20.18, 26.63, 34.97, 24.13, 27.12, 27.46, 23.78, 
##     22.46, 38.09, 42.04, 22.46, 29.76, 32.1, 19.9, 21.93, 40.61, 
##     30.9, 32.12, 25.09, 24.96, 29.29, 35.43, 34.02, 24.96, 35.36, 
##     24.56, 25.34, 29.86, 28.59, 20.53, 43.27, 25.95, 25.77, 32.02, 
##     27.2, 29.18, 32.1, 23.57, 25.06, 21.09, 29.05, 26.63, 17.74, 
##     34.96, 32.1, 28.48, 50.64, 36.03, 30.43, 22.96, 36.73, 17.57, 
##     19.57, 36.92, 29.43, 43.05, 21.47, 24.72, 39.68, 26.32, 24.22, 
##     33.98, 28.32, 25.84, 26.29, 22.87, 32.56, 23.3, 25.82, 24.96, 
##     31.19, 28.89, 21.52, 27.2, 26.17, 28.19, 27.12, 22.81, 25.82, 
##     23.67, 24.99, 28.19, 30.41, 21.14, 30.56, 31.57, 57.25, 30.27, 
##     26.61, 24.01, 31.25, 25.85, 64.58, 31.25, 31.01, 28.34, 26.09, 
##     28.06, 31.46, 27.05, 39.6, 29.05, 27.26, 31.66, 25.06, 44.53, 
##     25.61, 26.5, 30.9, 30.21, 20.36, 33.38, 28.48, 35.26, 53.52, 
##     23.49, 41.57, 25.85, 27.32, 24.86, 40.61, 29.1, 21.26, 22.15, 
##     24.21, 29.12, 25.23, 27.26, 24.8, 22.34, 24.41, 21.83, 31.35, 
##     26.12, 29.29, 42.91, 27.98, 18.29, 29.29, 22.46, 28.06, 30, 
##     22.32, 34.33, 34.96, 28.59, 29.53, 21.58, 24.89, 20.66, 38.75, 
##     27.12, 30.41, 29.05, 31.01, 30, 23.73, 21.61, 26.29, 32.28, 
##     33.72, 29.12, 21.46, 24.14, 35.43, 24.41, 25.99, 26.61, 19.37, 
##     21.95, 22.67, 20.98, 21.46, 28.34, 40.51, 18.46, 35.87, 31.66, 
##     30.45, 25.02, 33.84, 30.9, 32.55, 33.96, 23.11, 23.65, 31.83, 
##     18.29, 25.02, 25.06, 22.46, 26.63, 27.37, 21.8, 36.92, 25.09, 
##     23.57, 18.65, 27.12, 23.63, 24.43, 21.14, 36.02, 27.12, 22.05, 
##     28.17, 23.63, 21.29, 28.89, 23.06, 30.41, 22.5, 23.83, 26.15, 
##     30.41, 27.67, 25.83, 25.75, 25.06, 39.58, 44.76, 23.43, 26.87, 
##     28.25, 28.32, 22.67, 36.28, 23.49, 26.58, 23.71, 25.39, 25.69, 
##     31.77, 30.85, 19.13, 23.3, 26.58, 27.46, 25.84, 24.37, 30.45, 
##     30.75, 32.22, 30.52, 36.59, 31.62, 25.1, 29.41, 31.93, 27.12, 
##     26.5, 23.67, 33.89, 22.31, 27.4, 23.06, 27.37, 26.63, 28.34, 
##     32.5, 31.75, 33, 30.9, 19.97, 37.66, 23.73, 29.19, 22.27, 
##     42.04, 22.31, 23.73, 36.81, 21.08, 27.64, 32.5, 36.61, 21.63, 
##     22.31, 24.03, 27.44, 28.95, 26.96, 39.54, 22.86, 38.52, 36.56, 
##     18.88, 23.91, 25.39, 23.49, 25.84, 39.33, 21.87, 22.24, 27.34, 
##     32.49, 34.95, 30.27, 24.03, 28.89, 33.47, 18.89, 47.99, 20.92, 
##     30.34, 31.32, 24.37, 20.12, 30.67, 29.05, 39.58, 30.79, 20.36, 
##     33.38, 30.27, 30.13, 27.12, 33.28, 19.74, 28.19, 32.49, 29.29, 
##     27.34, 27.26, 46.63, 23.44, 23.06, 23.03, 30, 30.11, 25.83, 
##     31.25, 24.69, 29.65, 30.43, 25.82, 35.44, 28.25, 31.66, 31.57, 
##     44.29, 26.63, 26.57, 23.4, 24.14, 26.01, 23.71, 29.76, 28.32, 
##     28.34, 33.45, 32.55, 27.05, 35.5, 27.46, 34.96, 24.69, 35.87, 
##     19.97, 28.25, 31.57, 38.26, 30.11, 34.46, 39.14, 30.41, 26.5, 
##     31.57, 20.36, 34.46, 31.18, 21.77, 20.54, 26.63, 29.76, 14.54, 
##     25.11, 22.14, 21.79, 32.28, 45.19, 27.34, 27.44, 28.28, 23.44, 
##     30.41, 34.01, 27.92, 25.82, 29.13, 28.46, 22.32, 32.73, 37.79, 
##     31.09, 31.01, 28.19, 32.08, 29.53, 27.26, 18.25, 26.85, 20.9, 
##     29.05, 27.12, 25.71, 24.61, 23.46, 20.66, 26.37, 24.33, 26.45, 
##     25.82, 29.16, 34.39, 24.39, 36.98, 28.06, 29.76, 24.03, 51.75, 
##     29.84, 20.36, 24.39, 20, 26.58, 23.81, 25.15, 28.35, 25.77, 
##     37.11, 23.23, 16.14, 29.65, 28.25, 19.94, 30.68, 37.88, 24.21, 
##     22.15, 25.55, 28.13, 34.33, 30.41, 22.81, 22.38, 27.44, 45.78, 
##     20.29, 21.93, 28.35, 27.26, 18.79, 32.55, 27.53, 27.44, 23.78, 
##     33.91, 23.05, 20.6, 20.2, 23.62, 28.7, 42.87, 29.26, 29.99, 
##     28.29, 29.29, 28.7, 24.14, 44.29, 34.26, 28.06, 26.46, 24.97, 
##     34.01, 24.33, 46.34, 18.56, 19.37, 33.29, 36.81, 30.42, 39.32, 
##     24.39, 23.73, 28.5, 26.31, 34.46, 28.87, 18.29, 19.2, 23.17, 
##     34.44, 16.14, 29.12, 34.33, 28.97, 28.7, 27.32, 24.09, 23.91, 
##     24.13, 24.21, 25.09, 24.03, 29.84, 29.29, 25.84, 29.12, 36.18, 
##     29.41, 25.02, 22.14, 21.03, 24.39, 42.14, 25.69, 27.68, 27.12, 
##     29.85, 23.75, 36.96, 25.51, 31.19, 21.79, 27.71, 23.03, 24.28, 
##     25.54, 22.6, 20.41, 30.3, 28.28, 18.95, 26.18, 23.63, 40.77, 
##     22.71, 26.5, 41.2, 25.06, 42.07, 34.34, 30.83, 28.12, 27.46, 
##     27.07, 30.13, 45.19, 28.19, 34.37, 30.11, 48.06, 33.82, 26.63, 
##     22.6, 23.78, 23.75, 27.62, 37.12, 36.94, 31.66, 32.01, 25.06, 
##     27.27, 26.61, 20.6, 26.57, 28.25, 29.02, 35, 19.77, 25.82, 
##     19.94, 34.27, 25.39, 25.2, 31.57, 20.52, 40.09, 26.14, 27.4, 
##     32.92, 23.75, 31.41, 40.18, 34.33, 26.39, 22.47, 25.83, 44.39, 
##     21.97, 25.02, 29.84, 36.39, 33.89, 32.1, 23.44, 23.15, 30.04, 
##     31.93, 33.28, 24.89, 32.56, 33.2, 31.32, 36.91, 28.7, 39.27, 
##     20.22, 23.73, 25.54, 27.32, 39.48, 25.29, 34.44, 26.52, 28.25, 
##     26.43, 42.57, 37.93, 24.8, 28.29, 31.95, 17.11, 26.39, 22.38, 
##     25.09, 27.46, 32.49, 23.49, 28.7, 30.85, 29.26, 23.88, 34.54, 
##     44.3, 23.17, 27.12, 24.41, 34.3, 31, 34.75, 33.91, 28.13, 
##     22.3, 24.96, 45.19, 23.01, 28.19, 19.97, 33.99, 29.38, 30.41, 
##     29.86, 26.63, 23.06, 31.57, 29.16, 26.58, 56.49, 40.69, 19.53, 
##     29.99, 21.97, 25.92, 33.83, 29.18, 28.06, 24.27, 28.97, 42.6, 
##     28.04, 27.44, 24.45, 38.74, 40.72, 25.68, 27.98, 52.13, 25.75, 
##     29.76, 18.52, 21.63, 27.28, 23.57, 22.67, 33.84, 38.97, 29.53, 
##     25.82, 27.89, 26.61, 38.37, 25.51, 28.31, 43.46, 29.19, 25.06, 
##     20.67, 21.13, 27.44, 21.97, 20.67, 26.47, 32.49, 30.11, 34.01, 
##     27.32, 27.81, 31.89, 20.12, 37.79, 43.56, 39.16, 18.89, 44.44, 
##     31.17, 25.06, 26.32, 26.39, 20.73, 22.89, 20.19, 28.19, 21.28, 
##     24.39, 31.75, 29.95, 30.52, 26.29, 28.34, 29.76, 46.69, 21.11, 
##     22.96, 28.7, 43.05, 28.13, 29.27, 25.61, 27.05, 42.51, 34.75, 
##     31.38, 24.41, 33.91, 20.73, 25.1, 24.79, 44.29, 30.68, 33.33, 
##     22.85, 28.97, 31.38, 26.58, 20.34, 28.19, 34.17, 32.28, 44.85, 
##     22.14, 38.27, 28.29, 20.36, 21.77, 31.89, 30.9, 22.86, 24.72, 
##     41.16, 17.36, 27.44, 25.82, 17.38, 23.05, 27.48, 22.5, 22.04, 
##     29.65, 38.74, 25.82, 27.8, 27.28, 26.22, 25.68, 46.46, 19.14, 
##     35.43, 28.59, 47.47, 30.13, 27.37, 27.05, 22.6, 25.85, 24.07, 
##     19.58, 48.78, 24.8, 30.67, 29.76, 26.52, 26.43, 34.26, 65, 
##     36.92, 28.48, 28.98, 97.65, 17.49, 24.33, 22.14, 29.18, 25.79, 
##     33.67, 33.83, 36.02, 33.28, 30.38, 31.35, 33.72, 29.29, 24.21, 
##     28.97, 27.89, 25.83, 23.96, 35.94, 25.32, 29.87, 22.96, 19.97, 
##     20.55, 25.77, 31.53, 30.13, 22.99, 29.27, 21.03, 27.12, 30.51, 
##     22.08, 37.28, 32.89, 24.8, 31.93, 29.26, 29.26, 30.9, 27.27, 
##     20.59, 18.64, 27.41, 24.09, 24.9, 19.37, 29.68, 25.99, 30.9, 
##     38.65, 31.32, 43.56, 30.09, 22.31, 26.63, 28.29, 25, 32.69, 
##     27.37, 23.67, 28.21, 27.12, 27.71, 29.76, 27.46, 38.97, 38.74, 
##     36.18, 28.72, 36.02, 29.05, 45.61, 23.78, 25, 28.41, 27.89, 
##     29.76, 20.37, 31.75, 22.86, 24.05, 27.46, 32.96, 24.33, 27.32, 
##     25.07, 29.65, 21.86, 23.43, 28.35, 36.96, 31.45, 19.97, 25.68, 
##     24.13, 21.93, 34.14, 35.73, 28.13, 75.86, 22.2, 20.34, 21.79, 
##     18.14, 25.69, 21.52, 24.8, 25.11, 26.37, 19.14, 38.09, 25.51, 
##     19.37, 33.91, 19.97, 27.98, 31.89, 29.18, 25.77, 42.07, 35.15, 
##     25.77, 36.84, 25.18, 24.41, 42.07, 22.46, 25.68, 30.72, 36.15, 
##     50.03, 20.81, 29.84, 25.06, 21.02, 21.47, 36.84, 29.76, 19.37, 
##     22.71, 18.71, 27.12, 36.02, 28.87, 34.33, 29.95, 28.35, 36.56, 
##     29.18, 31.32, 27.44, 35.44, 28.06, 21.77, 31.28, 33.45, 26.57, 
##     24.03, 27.89, 57.39, 31.17, 28.32, 24.96, 27.37, 27.37, 33.47, 
##     35.51, 27.67, 38.09, 25.11, 21.95, 16.97, 26.11, 24.41, 26.58, 
##     24.37, 23.75, 29.76, 21.9, 26.78, 24.13, 25.69, 25.02, 48.68, 
##     22.67, 27.89, 31.75, 25.82, 26.5, 28.29, 34.75, 33.47, 26.15, 
##     45.19, 31.57, 42.57, 23.03, 29.86, 33.36, 25.54, 35.15, 29.26, 
##     24.9, 26.54, 24.39, 22.2, 24.33, 28.8, 27.32, 28.37, 26.96, 
##     20.68, 25.09, 22.6, 29.05, 26.96, 29.29, 29.56, 22.32, 30.23, 
##     25.85, 36.92, 33.75, 25.11, 26.63, 27.41, 28.23, 46.81, 23.24, 
##     23.67, 56.68, 31.14, 39.06, 26.97, 29.18, 30.41, 20.83, 26.63, 
##     27.37, 29.57, 25.75, 24.13, 25.1, 25.11, 24.33, 25.54, 28.19, 
##     29.26, 26.22, 20.94, 34.87, 26.63, 27.44, 31.57, 24.41, 25.82, 
##     24.41, 27.28, 29.84, 29.23, 21.46, 30.85, 24.81, 24.96, 25.84, 
##     28.19, 28.12, 19.21, 29.62, 22.67, 26.5, 21.63, 27.26, 26.94, 
##     42.29, 41.35, 26.37, 34.7, 32.74, 22.11, 26.87, 22.46, 18.46, 
##     22.31, 20.98, 27.89, 28.25, 37.31, 20.14, 25, 27.44, 26.57, 
##     26.63, 24.14, 34.26, 47.47, 23.57, 31.16, 22.67, 30.18, 25.83, 
##     29.95, 28.89, 23.78, 24.28, 31.32, 25.9, 36.73, 23.71, 18.65, 
##     41.99, 25.06, 29.12, 25.51, 39.71, 26.83, 28.29, 28.34, 27.46, 
##     33, 49.34, 20.6, 19.79, 21.46, 34.7, 28.29, 32.12, 36.58, 
##     31, 19.37, 22.38, 25.82, 23.24, 20.36, 18.08, 27.07, 26.47, 
##     26.63, 36.32, 25.1, 24.96, 24.21, 24.37, 39.16, 22.05, 30.71, 
##     36.61, 27.26, 23.24, 23.3, 28.89, 29.16, 30.81, 27.4, 33.09, 
##     33.47, 23.99, 26.99, 28.89, 47.99, 29.55, 24.21, 38.62, 24.41, 
##     35.26, 50.9, 21.86, 50.07, 28.12, 21.41, 25.1, 33.45, 30.47, 
##     47.2, 23.18, 32.77, 27.46, 27.32, 28.34, 32.49, 32.92, 24.96, 
##     36.58, 31.19, 23.17, 32.69, 23.23, 31.31, 24.37, 31.93, 18.13, 
##     22.15, 25.84, 33.52, 26.39, 23.3, 24.14, 38.97, 32.28, 25.18, 
##     29.41, 19.46, 23.13, 27.46, 29.03, 25.06, 27.12, 32.61, 24.41, 
##     30.79, 34.46, 41.48, 33.28, 30.9, 22.96, 22.11, 32.28, 23.03, 
##     26.61, 41.2, 30.11, 27.96, 21.79, 35.15, 38.01, 16.46, 23.75, 
##     29.53, 31.93, 18.6, 33.13, 36.05, 25.1, 24.41, 28.48, 23.52, 
##     19.97, 19.01, 26.83, 25.1, 24.86, 31.39, 28.37, 33.23, 25.77, 
##     24.55, 28.35, 24.33, 36.34, 25.85, 28.59, 29.84, 27.05, 27.89, 
##     16.74, 18.83, 24.37, 26.93, 25.09, 21.73, 18.38, 29.29, 22.89, 
##     27.26, 26.63, 21.29, 34.29, 19.01, 32.44, 24.37, 20.22, 30.54, 
##     25.82, 22.86, 39.54, 36.32, 41.35, 29.76, 37.59, 27.06, 23.44, 
##     23.23, 30.73, 20.34, 29.18, 44.92, 35.15, 29.98, 22.6, 20.51, 
##     31.25, 51.65, 29.76, 31.38, 33.23, 28.29, 32.01, 25.29, 33.33, 
##     17.94, 31.32, 21.95, 25.8, 29.05, 27.44, 25.09, 31.17, 45.98, 
##     25.79, 34.45, 22.31, 25.09, 31.57, 29.24, 33.28, 27.41, 34.33, 
##     33, 22.86, 19.67, 31.25, 20.62, 25.82, 20.6, 51.21, 27.89, 
##     36.21, 28.48, 30.68, 23.03, 20.18, 47.3, 23.06, 36.15, 26.31, 
##     43.71, 29.12, 34.44, 22.52, 20.98, 35.07, 35.43, 31, 26.09, 
##     32.89, 24.21, 25.83, 34.46, 31.25, 41.6, 30.68, 34.33, 27.62, 
##     36.26, 33.12, 23.29, 27.44, 34.76, 22.89, 21.26, 23.75, 25.81, 
##     17.47, 29.76, 43.27, 25.06, 20.6, 32.96, 37.97, 35.58, 40.25, 
##     30.85, 37.5, 25.82, 28.34, 27.46, 37.55, 23.91, 41.71, 45.76, 
##     28.66, 23.63, 29.16, 28.5, 23.37, 31.87, 32.77, 34.86, 27.2, 
##     23.17, 21.83, 24.13, 23.49, 30.23, 22.5, 35.44, 21.26, 23.44, 
##     18.66, 33.96, 26.04, 36.28, 33.11, 22.81, 29.08, 24.8, 21.95, 
##     24.33, 34.33, 24.63, 30.11, 27.26, 18.9, 26.39, 22.53, 35.19, 
##     28.37, 33.25, 31.93, 27.12, 32.92, 27.96, 34.33, 35.43, 25.09, 
##     25.42, 31.89, 23.03, 25.02, 27.98, 32.49, 26.32, 35.62, 19.01, 
##     29.99, 28.08, 33.28, 22.59, 27.81, 35.44, 32.98, 38.92, 31, 
##     23.56, 27.34, 29.76, 28.72, 26.11, 27.44, 27.5, 29.29, 27.76, 
##     23.78, 32.89, 21.95, 41.01, 35.94, 29.95, 38.11, 37.1, 29.23, 
##     40.35, 29.16, 31.28, 46.34, 32.1, 42.88, 34.87, 29.7, 27.4, 
##     26.15, 34.87, 33.66, 29.69, 39.16, 28.13, 23.56, 26.63, 29.95, 
##     34.7, 37.66, 38.62, 26.78, 26.58, 22.32, 34.7, 38.27, 26.58, 
##     29.79, 28.53, 25, 23.48, 30.29, 29.26, 25.69, 43.9, 24.03, 
##     19.73, 41.96, 26.63, 23.05, 29.38, 24.03, 24.33, 28.7, 39.53, 
##     29.53, 24.33, 27.41, 22.78, 39.68, 25.69, 26.16, 25.15, 36.62, 
##     30.11, 32.92, 24.09, 25.11, 41.05, 32.49, 45.42, 32.5, 34.33, 
##     31, 26.61, 29.29, 24.89, 29.86, 35.9, 27.12, 34.21, 28.59, 
##     39.48, 24.96, 30.67, 28.16, 30.41, 32.01, 26.09, 25.75, 30.56, 
##     22.89, 35.44, 35.44, 25.02, 31.25, 19.2, 30.17, 27.32, 33.47, 
##     23.71, 35.57, 21.09, 28.72, 34.95, 23.75, 25.06, 25.83, 21.48, 
##     37.59, 46.93, 35.55, 24.89, 26.58, 28.8, 28.97, 26.39, 28.13, 
##     30.54, 21.63, 25.97, 20.55, 27.76, 25.37, 25.75, 23.3, 30.67, 
##     49.6, 27.32, 20.12, 31.1, 27.12, 29.99, 24.39, 23.3, 46.59, 
##     17.5, 23.05, 15.97, 26.09, 23.11, 29.16, 35.29, 38.26, 31.85, 
##     21.29, 26.54, 27.98, 27.84, 26.61, 32.55, 33.91, 22.6, 16.01, 
##     30.3, 29.95, 32.92, 28.32, 26.69, 23.3, 29.99, 60.98, 26.85, 
##     34.97, 34.08, 32.98, 26.58, 34.33, 35.51, 28.19, 26.39, 25.77, 
##     17.75, 26.61, 30.61, 31.01, 22.46, 37.76, 21.79, 28.89, 22.6, 
##     28.06, 30.88, 32.69, 28.9, 42.91, 38.27, 46.34, 26.54, 23.63, 
##     20.81, 25.09, 29.53, 19.14, 32.71, 22.43, 28.08, 32.55, 33.28, 
##     27.34, 29.45, 25.83, 32.1, 26.26, 24.33, 33.73, 26.17, 32.1, 
##     21.81, 32.69, 36.49, 25.06, 22.81, 32.49, 34.96, 23.17, 26.39, 
##     22.6, 25.75, 38.74, 20.34, 28.63, 32.61, 25.83, 29.76, 32.28, 
##     26.54, 40.69, 32.89, 22.05, 32.55, 27.46, 40.69, 23.78, 45.54, 
##     25.75, 34.08, 29.84, 28.17, 27.82, 25.29, 23.3, 24.21, 34.39, 
##     34.87, 42.76, 20.36, 31.89, 21.97, 28.32, 31.32, 27.12, 25.8, 
##     30.23, 22.89, 33.38, 40.35, 24.78, 28.82, 26.63, 28.32, 29.86, 
##     33.89, 24.33, 22.78, 29.73, 28.48, 19.49, 30.62, 38.01, 27.88, 
##     28.37, 21.77, 41.6, 23.49, 35.9, 25.06, 33.82, 28.34, 28.06, 
##     22.15, 15.12, 20.98, 27.26, 27.62, 27.76, 26.61, 30.54, 27.44, 
##     34.46, 20.36, 29.99, 28.32, 23.49, 33.23, 23.17, 23.69, 27.26, 
##     25.8, 30.43, 27.84, 22.71, 19.97, 39.48, 33.96, 32.92, 27.37, 
##     29.65, 29.29, 28.73, 25.7, 29.98, 27.46, 32.69, 33.28, 30.34, 
##     34.33, 45.68, 25.75, 22.15, 26.61, 38, 20.98, 24.86, 22.43, 
##     31.17, 30.68, 29.12, 33.96, 28.15, 26.61, 20.81, 25.69, 16.83, 
##     23.71, 23.81, 26.88, 32.77, 24.41, 28.7, 31.57, 23.13, 25.37, 
##     30.68, 25.09, 29.18, 38.21, 33.28, 23.49, 28.62, 25.75, 30.79, 
##     25.7, 27.46, 20.18, 29.84, 42.57, 28.46, 27.8, 22.67, 27.12, 
##     48.81, 21.79, 29.53, 27.44, 30.68, 29.95, 34.01, 33.25, 25.51, 
##     23.17, 33.41, 34.33, 33.28, 26.63, 41.05, 28.25, 37.76, 57.57, 
##     18.75, 21.29, 31.32, 23.63, 24.41, 27.98, 31.29, 24.03, 24.13, 
##     22.6, 53.81, 27.46, 41.8, 19.2, 26.58, 33.96, 26.61, 20.45, 
##     22.15, 29.53, 27.26, 42.07, 24.78, 30.27, 39.53, 21.83, 39.48, 
##     31.01, 36.21, 32.55, 41.2, 29.85, 35.95, 51.75, 33.47, 28.97, 
##     27.44, 27.44, 25.1, 24.21, 27.41, 32.12, 22.15, 30.9, 38.39, 
##     27.46, 23.63, 29.91, 20.8, 29.53, 26.39, 44.29, 26.63, 27.98, 
##     26.26, 35.67, 25.82, 31, 28.12, 27.44, 27.12, 30.99, 41.79, 
##     24.21, 18.99, 28.34, 26.57, 25.85, 28.5, 34.17, 26.88, 27.26, 
##     26.96, 25.61, 44.29, 31.32, 32.77, 35.94, 32.28, 26.58, 25.02, 
##     34.39, 38.39, 34.7, 25.99, 33.47, 26.57, 30.4, 24.33, 32.1, 
##     22.71, 19.25, 29.16, 25.53, 25.07, 23.71, 32.77, 29.12, 22.6, 
##     22.71, 45.7, 27.52, 32.1, 33.67, 19.14, 37.44, 27.44, 23.03, 
##     24.28, 21.93, 33.91, 29.09, 32.78, 15.66, 27.44, 22.31, 19.73, 
##     31.19, 25.25, 23.03, 23.62, 21.46, 29.86, 36.03, 18.01, 26.45, 
##     31.75, 36.39, 26.29, 19.14, 21.14, 24.03, 27.12, 27.46, 21.73, 
##     24.37, 41.57, 33.84, 34.95, 25.82, 20.85, 47.24, 23.73, 42.57, 
##     31.93, 26.17, 23.09, 20.02, 23.03, 29.09, 26.57, 27.34, 31.25, 
##     24.89, 34.56, 30.9, 21.62, 29.65, 31.93, 31.47, 33, 38.97, 
##     20.6, 27.12, 26.45, 25.85, 26.5, 25.85, 27.41, 29.05, 28.19, 
##     17.38, 36.28, 23.63, 27.46, 20.64, 28.08, 44.3, 35.62, 29.49, 
##     26.64, 34.18, 17.71, 24.95, 31.19, 25.51, 40.35, 20.51, 29.53, 
##     28.59, 21.93, 32.59, 30.27, 28.25, 19.37, 33.67, 49.09, 41.81, 
##     26.54, 29.16, 26.11, 29.41, 30.13, 25.23, 30.38, 27.22, 36.22, 
##     20.6, 36.13, 20.98, 32.02, 40.01, 25.39, 30.81, 30.27, 26.22, 
##     23.46, 38.01, 23.67, 19.89, 41.19, 42.68, 25.8, 37.79, 26.95, 
##     18.88, 21.93, 34.58, 31.25, 32.28, 20.37, 29.05, 29.26, 38.74, 
##     18.88, 22.6, 38.75, 25.85, 28.87, 29.23, 24.37, 24.9, 27.1, 
##     28.7, 27.46, 23.49, 41.05, 25.07, 23.09, 25.07, 25.83, 43.53, 
##     23.91, 19.77, 25.84, 20.36, 27.26, 25.11, 23.75, 24.21, 25.68, 
##     38.41, 25.83, 34.7, 23.3, 34.28, 20.36, 27.89, 32.61, 25.84, 
##     26.63, 32.92, 23.49, 20.92, 23.92, 27.89, 51.21, 24.37, 28.37, 
##     39.48, 35.07, 22.81, 23.57, 35.87, 25.02, 32.95, 24.72, 30.85, 
##     33.25, 37.76, 23, 23.83, 27.37, 34.01, 32.92, 38.73, 25.84, 
##     20.18, 25.06, 33.13, 23.17, 44.19, 22.71, 29.29, 31.89, 25.39, 
##     21.41, 24.28, 25.1, 31.89, 30.72, 27.72, 19.37, 21.97, 33.61, 
##     18.8, 24.21, 26.63, 31.93, 25.51, 24.28, 26.56, 27.4, 24.13, 
##     27.37, 24.53, 27.44, 30.41, 21.43, 26.58, 23.67, 29.05, 22.81, 
##     35.43, 38.62, 20.8, 22.81, 24.69, 29.49, 32.1, 40.35, 24.89, 
##     27.26, 32.22, 25.06, 43.7, 35.87, 30.52, 29.16, 30.9, 22.96, 
##     32.49, 30.52, 31.57, 25.32, 28.15, 25.82, 30.9, 23.71, 19.69, 
##     25.84, 23.62, 23.57, 37.76, 48.06, 28.15, 29.29, 29.7, 27.44, 
##     35.43, 27.32, 25.54, 27.26, 26.93, 35.43, 35.9, 33.28, 17.71, 
##     20.01, 34.97, 26.5, 28.89, 48.1, 21.34, 39.94, 19.84, 34.54, 
##     31.25, 27.5, 31.32, 24.37, 24.41, 44.63, 30.34, 33.28, 21.03, 
##     23.91, 25.02, 24.39, 26.58, 19.37, 28.97, 23.78, 31.47, 32.12, 
##     23.02, 23.63, 24.96, 27.32, 32.69, 21.46, 29.53, 37.97, 33.63, 
##     29.03, 25.8, 46.99, 22.86, 34.95, 24.33, 43.54, 26.34, 33.09, 
##     34.46, 21.58, 41.96, 26.17, 23.71, 22.96, 22.6, 26.32, 32.6, 
##     29.99, 27.89, 39.53, 24.69, 24.33, 27.44, 23.03, 22.96, 42.98, 
##     24.69, 30.13, 29.37, 23.71, 25.09, 23.17, 27.71, 29.53, 25.1, 
##     21.26, 38.95, 19.1, 19.79, 28.19, 25.61, 28.48, 31.38, 25.11, 
##     21.95, 18.88, 30.41, 25.54, 34.78, 46.59, 21.83, 22.86, 25.83, 
##     26.09, 39.46, 23.01, 39.06, 28.7, 23.3, 32.87, 40.32, 25.1, 
##     42.91, 29.29, 27.46, 28.7, 23.01, 29.18, 25.11, 33.59, 33.3, 
##     23.57, 24.8, 21.26, 28.19, 26.54, 18.68, 21.54, 42.31, 31.46, 
##     24.28, 22.14, 23.78, 25.06, 25.02, 23.67, 28.43, 25.06, 28.13, 
##     23.06, 33.09, 23.89, 24.98, 24.39, 34.75, 33.66, 26.7, 33.23, 
##     35.01, 34.75, 26.61, 24.43, 31.17, 20.67, 20.36, 16.83, 28.84, 
##     29.84, 30.9, 20.85, 22.71, 22.46, 20.36, 32.92, 22.14, 33.96, 
##     23.4, 33.38, 24.94, 23.05, 28.06, 30.73, 29.86, 20.36, 19.48, 
##     24.69, 22.71, 22.24, 30.54, 25.75, 19.53, 37.31, 24.8, 31.32, 
##     20.85, 34.2, 21.7, 31.93, 29.83, 22.46, 28.67, 37.23, 32.95, 
##     22.31, 26.63, 26.58, 36.92, 18.95, 24.41, 27.46, 33.47, 29.98, 
##     28.25, 28.29, 29.26, 47.83, 25.06, 33.2, 37.97, 18.18, 29.53, 
##     21.62, 21.46, 23.4, 40.67, 24.41, 25.06, 35.11, 36.26, 26.29, 
##     37.13, 27.37, 42.6, 28.48, 28.19, 24.39, 26.32, 24.27, 31.05, 
##     30.85, 32.28, 31.09, 24.13, 25.63, 31.63, 31.93, 22.65, 57.78, 
##     30.67, 28.37, 25.85, 31.01, 25.11, 32.28, 29.65, 27.46, 27.37, 
##     28.8, 41.94, 28.59, 28.89, 26.61, 30.67, 23.91, 29.27, 33.84, 
##     43.52, 24.03, 30.67, 28.35, 33.45, 26.63, 25.61, 19.77, 29.03, 
##     26.63, 25.09, 22.16, 25.77, 23.05, 22.66, 28.13, 32.59, 34.54, 
##     23.3, 30.68, 29.99, 33.2, 33.99, 41.02, 25.51, 20.66, 24.03, 
##     26.45, 32.28, 21.29, 31.01, 22.11, 25.84, 38.74, 48.62, 31.09, 
##     24.75, 23.06, 26.54, 28.7, 30.47, 29.39, 21.13, 31.25, 23.78, 
##     42.91, 26.61, 15.73, 24.39, 23.73, 27.89, 37.12, 36.61, 38.74, 
##     26.46, 23.82, 34.33, 25.84, 36.94, 24.21, 35.26, 23.75, 23.03, 
##     31.66, 36.4, 26.63, 29.41, 24.41, 27.57, 20.12, 27.29, 39.32, 
##     22.13, 25.69, 24.89, 22.96, 28.7, 33.84, 36.49, 25.39, 30.4, 
##     28.84, 30.73, 37.3, 33.2, 26.43, 26.57, 25.11, 23.04, 25.54, 
##     22.96, 24.41, 27.34, 28.29, 35.24, 25.85, 34.97, 24.21, 30.11, 
##     24.69, 24.11, 35.44, 29.23, 26.58, 47.2, 26.45, 29.26, 26.5, 
##     24.69, 22.86, 35.07, 24.8, 22.86, 26.5, 27.37, 23.3, 25.83, 
##     24.03, 27.96, 36.57, 27.98, 32.1, 29.09, 38.35, 31.75, 39.13, 
##     30.13, 27.05, 22.46, 26.63, 17.18, 38.74, 19.69, 24.03, 35.15, 
##     33.28, 53.85, 18.72, 21.81, 32.89, 30.68, 31.75, 23.17, 39.56, 
##     27.12, 29.95, 19.79, 23.78, 41.25, 30.34, 25.06, 20.37, 26.34, 
##     33.47, 35.43, 28.7, 20.22, 20.37, 24.03, 30.87, 31.9, 47.24, 
##     34.33, 31.89, 24.63, 31.79, 20.18, 25.1, 24.27, 55.78, 29.05, 
##     26.31, 25.11, 25.77, 33.29, 33.28, 29.29, 27.98, 24.41, 25.82, 
##     22.14, 32.28, 34.11, 30.9, 30.52, 29.99, 27.47, 20.09, 25.56, 
##     26.39, 34.21, 24.94, 31.17, 24.69, 19.59, 26.09, 31.32, 25.79, 
##     24.39, 20.8, 27.8, 22.32, 31.95, 23.57, 42.37, 28.48, 26, 
##     26.58, 28.89, 17.71, 23.78, 21.46, 19.49, 44.1, 25.15, 22.92, 
##     23.08, 42.77, 37.49, 24.96, 41.48, 25.75, 19.74, 22.32, 40, 
##     23.73, 29.29, 40.62, 23.41, 26.63, 26.41, 24.41, 25.09, 32.12, 
##     28.89, 24.89, 24.69, 34.7, 32.69, 39.13, 31.57, 23.57, 31.57, 
##     22.31, 29.86, 29.23, 28.34, 30.68, 17.75, 29.99, 31.09, 30.04, 
##     34.33, 32.1, 31.33, 22.92, 24.41, 22.32, 29.29, 21.26, 26.96, 
##     22.31, 31.66, 28.25, 36.61, 20.36, 29.84, 36.05, 22.46, 23.02, 
##     24.95, 39.58, 29.05, 20.18, 35.7, 22.6, 26.63, 37.59, 26.58, 
##     43.05, 29.26, 22.07, 27.41, 29.29, 37.79, 28.29, 36.05, 33.91, 
##     29.05, 26.54, 34.3, 27.91, 33.28, 25.62, 21.31, 41.96, 26.17, 
##     25.77, 24.21, 28.7, 26.83, 23.57, 38.74, 28.19, 27.46, 22.71, 
##     24.8, 24.41, 35.26, 23.49, 22.5, 33.43, 28.13, 21.77, 23.72, 
##     29.09, 27.46, 50.9, 21.26, 24.81, 33.8, 21.73, 26.63, 21.58, 
##     18.29, 22.31, 28.8, 30.67, 35.94, 24.96, 27.99, 27.46, 22.81, 
##     28.48, 34.7, 37.93, 29.18, 21.79, 27.44, 19.77, 30.54, 32.93, 
##     21.2, 19.94, 26.39, 32.55, 24.37, 38.61, 35.4, 26.37, 14.17, 
##     28.13, 17.16, 24.39, 23.56, 36.96, 24.8, 42.09, 21.79, 31.62, 
##     19.49, 24.37, 30.52, 24.33, 30.27, 26.47, 27.98, 24.33, 31.89, 
##     23.91, 29.53, 29.41, 30.18, 25.73, 35.58, 23.49, 29.18, 32.89, 
##     33.28, 31.93, 23.71, 25.82, 22.11, 23.73, 26.29, 32.19, 26.12, 
##     43.58, 29.53, 30, 41.96, 35.26, 20.47, 22.74, 37.31, 23.08, 
##     27.15, 22.05, 51, 38.01, 29.84, 27.4, 42.54, 27.12, 34.46, 
##     24.96, 27.37, 34.15, 26.15, 17.63, 24.63, 38.62, 23.11, 24.95, 
##     35.43, 22.81, 23.42, 18.32, 24.37, 30.9, 25.77, 23.49, 32.08, 
##     38.73, 27.41, 27.46, 28.29, 24.53, 29.53, 29.23, 21.8, 28.89, 
##     29.99, 25.07, 24.56, 42.04, 23.57, 38.86, 37.97, 20.81, 19.84, 
##     49.08, 23.44, 26.12, 23.63, 25.75, 29.37, 40.69, 33.28, 32.54, 
##     65.84, 30.96, 22.38, 27.21, 30.67, 17.16, 19.85, 31.01, 27.44, 
##     20.36, 34.33, 37.44, 26.39, 27.44, 27.5, 30.62, 36.02, 42.04, 
##     34.11, 18.65, 26.58, 23.52, 21.77, 25.2, 23.44, 35.35, 27.46, 
##     30.67, 34.67, 25.11, 18.65, 35.9, 19.97, 26.78, 30.23, 31.19, 
##     29.23, 20.78, 21.26, 27.4, 24.41, 29.66, 35.44, 38.27, 33.91, 
##     25.06, 36.62, 26.22, 24.21, 25.5, 27.6, 24.21, 35.07, 21.61, 
##     43.26, 26.31, 24.03, 18.31, 31.01, 32.95, 22.32, 25.66, 24.8, 
##     27.27, 27.12, 16.69, 43.9, 26.29, 28.29, 33.28, 24.03, 37.2, 
##     21.63, 21.26, 26.57, 27.46, 23.44, 21.95, 25.4, 25.83, 26.31, 
##     33.05, 31.87, 22.31, 25.54, 21.77, 19.58, 24.02, 20.78, 25.97, 
##     20.34, 18.94, 23.67, 24.21, 23.03, 31.31, 22.32, 27.32, 33.77, 
##     39.58, 31.38, 28.7, 34.46, 24.37, 21.63, 23.44, 30.23, 40.76, 
##     21.95, 28.06, 22.24, 28.89, 37.93, 16.27, 24.8, 31.89, 26.63, 
##     23.18, 39.16, 19.2, 21.46, 21.52, 31.24, 41.23, 32.92, 26.69, 
##     24.14, 42.57, 30.52, 20.62, 30.34, 30.81, 27.6, 25.11, 24.56, 
##     21.73, 34.15, 42.09, 25.51, 25.68, 24.8, 32.08, 23.78, 28.89, 
##     22.66, 32.92, 32.92, 34.46, 40.69, 66.7, 22.67, 18.88, 19.91, 
##     25.15, 25.85, 22.43, 33.78, 31.18, 36.28, 47.3, 23.18, 30.34, 
##     29.7, 30.67, 30.11, 22.43, 32.96, 32.28, 23.62, 19.25, 29.84, 
##     25.77, 23.01, 27.98, 33.47, 34.17, 25.1, 18.56, 27.52, 35, 
##     25.37, 28.34, 36.81, 19.37, 25.54, 32.61, 22.96, 28.34, 29.95, 
##     30.27, 32.49, 26.39, 27.78, 29.84, 24.8, 23.49, 26.39, 21.11, 
##     34.57, 19.67, 30.68, 24.87, 30.41, 30.55, 30.34, 25.75, 54.75, 
##     23.91, 32.49, 33.13, 34.7, 33.47, 23.38, 30.04, 24.41, 23.67, 
##     20.6, 18.88, 30.41, 33.59, 23.63, 28.29, 19.13, 27.44, 36.26, 
##     50.22, 30.66, 57.5, 30.3, 29.05, 24.41, 28.29, 27.37, 35.78, 
##     25, 35.43, 29.86, 29.12, 30.18, 28.06, 27.73, 24.33, 21.18, 
##     31.66, 38.39, 32.92, 33.23, 21.46, 27.12, 32.28, 26.58, 34.17, 
##     20.37, 18.99, 24.13, 22.05, 38.35, 32.22, 24.03, 37.76, 28.19, 
##     26.63, 31.87, 39.89, 22.81, 20.77, 33.47, 22.67, 25.75, 44.09, 
##     23.06, 23.83, 31.66, 20.67, 33.47, 25.07, 25.84, 29.05, 37.97, 
##     20.98, 25.19, 25.8, 19.97, 22.96, 29.99, 42.91, 31.89, 53.04, 
##     26.58, 29.29, 33.47, 21.93, 27.37, 39.05, 25.51, 25.75, 28.73, 
##     32.24, 31.31, 28.7, 27.46, 21.3, 26.52, 31.09, 36.26, 33.96, 
##     33.23, 24.41, 26.54, 27.34, 25.75, 39.05, 32.28, 22.45, 27.5, 
##     31.75, 17.71, 24.03, 26.73, 23.03, 29.16, 26.57, 30.68, 28.75, 
##     23.52, 27.12, 40.35, 19.37, 34.33, 24.41, 26.04, 39.94, 18.48, 
##     29.65, 24.8, 33.67, 25.07, 34.33, 31.75, 28.85, 18.55, 31.25, 
##     31, 40.18, 29.41, 39.53, 19.01, 31.17, 27.48, 34.3, 29.76, 
##     26.53, 41.96, 27.12, 42.91, 27.02, 24.02, 33.2, 29.05, 31.65, 
##     23.49, 32.96, 31.64, 27.26, 21.63, 20.8, 23.67, 54.91, 23.57, 
##     38.28, 22.32, 29.76, 28.89, 34.75, 23.49, 22.31, 26.57, 43.85, 
##     29.53, 32.61, 27.07, 31.15, 21.48, 23.17, 26.45, 23.75, 25.82, 
##     25.82, 25.18, 25.09, 25.75, 19.53, 22.46, 31.57, 28.34, 28.49, 
##     26.5, 26.45, 23.03, 34.93, 25.68, 29.95, 21.79, 17.16, 23.33, 
##     26.07, 45.65, 38.73, 25.1, 32.98, 22.86, 20.38, 30.41, 37.2, 
##     36.31, 27.17, 28.25, 33.29, 28.57, 29.03, 26.15, 34.67, 29.57, 
##     35.43, 18.6, 48.69, 53.59, 29.05, 24.13, 22.38, 33.2, 31.46, 
##     23.11, 27.57, 19.77, 34.57, 18.79, 21.93, 53.98, 46.06, 39.94, 
##     26.39, 25.82, 25.54, 25.83, 37.73, 40.34, 22.15, 23.71, 36.05, 
##     27.12, 20.37, 31.19, 28.32, 28.7, 31.32, 33.28, 19.11, 24.37, 
##     26.95, 22.81, 20.67, 28.06, 36.58, 30.43, 28.7, 31.2, 27.41, 
##     18.48, 23.63, 31.32, 21.63, 48.82, 29.29, 25.84, 31, 33.64, 
##     35.35, 26.45, 32.49, 22.6, 23.71, 30.9, 21.29, 30.61, 31.32, 
##     23.02, 43.05, 31.89, 23.96, 26.96, 23.43, 25.09, 25.09, 22.67, 
##     32.12, 28.17, 25.09, 40.45, 26.61, 54.43, 27.62, 28.13, 29.84, 
##     45.73, 24.03, 22.13, 40.61, 32.01, 23.73, 33.09, 27.87, 19.58, 
##     37.93, 27.12, 22.4, 31.01, 26.58, 20.37, 27.25, 20.8, 38.74, 
##     37.76, 29.95, 37.95, 24.8, 36.18, 25.1, 22.81, 33.38, 23.96, 
##     24.89, 34.58, 22.13, 21.8, 35.87, 28.34, 30.11, 32.95, 29.68, 
##     25.82, 23.63, 22.46, 21.76, 19.14, 31.25, 32.89, 22.32, 36.61, 
##     23.12, 41.84, 19.46, 32.78, 23.69, 30.41, 24.21, 21.63, 29.99, 
##     29.26, 30.13, 35.9, 34.44, 21.48, 23.17, 30.71, 33.28, 27.55, 
##     35.26, 20.51, 40.27, 31.24, 23.18, 17.36, 24.37, 27.12, 25.02, 
##     38.01, 28.48, 25.83, 25.77, 36.02, 30.79, 34.29, 38.97, 32.49, 
##     24.69, 35.95, 30.11, 28.25, 29.17, 34.45, 34.33, 24.56, 35.74, 
##     31.57, 23.2, 32.78, 32.61, 23.92, 28.34, 26.64, 35.3, 25.68, 
##     28.29, 35.44, 43.27, 26.63, 28.28, 39.11, 20.01, 29.05, 25.09, 
##     27.71, 32.06, 23, 20.12, 32.69, 29.99, 25.23, 25.1, 42.37, 
##     30, 28.89, 29.76, 26.31, 44.93, 34.01, 33.45, 27.32, 40.35, 
##     20.2, 22.14, 30.68, 27.89, 27.12, 41.61, 33.47, 23.17, 27.44, 
##     25.84, 31.87, 34.87, 29.76, 31.32, 32.45, 25.06, 27.37, 18.99, 
##     21.93, 41.05, 25.02, 19.77, 33.2, 30.67, 32.89, 35.19, 27.73, 
##     29.53, 26.78, 49.42, 25.06, 25.77, 28, 22.08, 21.03, 24.03, 
##     22.81, 18.6, 47.72, 26.29, 31.75, 22.65, 40.24, 25.73, 30.9, 
##     20.6, 21.97, 26.39, 23.81, 27.26, 32.89, 42.07, 44.94, 41.14, 
##     30.42, 30.13, 22.38, 23.63, 23.78, 41.6, 44.09, 25.06, 24.28, 
##     23.8, 30, 22.71, 31.18, 27.46, 14.98, 39.75, 25.82, 34.44, 
##     25.1, 21.52, 25.37, 34.93, 27.41, 23.67, 23.43, 30.79, 24.03, 
##     21.91, 30.13, 31, 31.8, 32.49, 37.59, 33.91, 22.27, 24.41, 
##     31.45, 37.93, 26.63, 19.74, 26.45, 27.31, 26.63, 30.9, 36.58, 
##     27.98, 25.84, 30.85, 38.01, 30.81, 26.63, 25.77, 52.46, 28.51, 
##     25.84, 29.53, 25.77, 31.01, 33, 41.6, 25.82, 35.43, 25.51, 
##     36.96, 38.08, 35.43, 34.45, 42.07, 25.02, 27.47, 31.89, 23.81, 
##     32.61, 28.06, 29.98, 25.06, 25.75, 25.04, 27.26, 27.26, 25.73, 
##     26.87, 39.11, 25.1, 31.18, 41.44, 29.29, 25.11, 28.67, 43.9, 
##     28.32, 28.34, 18.3, 30.41, 32.11, 25.8, 23.57, 37.59, 24.41, 
##     33.91, 37.37, 33.01, 21.41, 29.84, 24.39, 27.26, 29.53, 30.07, 
##     26.31, 44.22, 22.81, 29.18, 31.01, 25.82, 29.65, 25.56, 25.68, 
##     29.68, 34.3, 32.28, 29.86, 26.61, 17.74, 24.03, 24.41, 27.44, 
##     38.01, 27.89, 23.4, 24.03, 36.59, 33.64, 38.58, 30.27, 28.34, 
##     21.29, 25.06, 28.57, 35.43, 24.03, 25.33, 24.46, 25.24, 25.06, 
##     23.49, 22.46, 26.5, 21.95, 28.29, 40.68, 26.29, 24.41, 33.96, 
##     31.25, 25.06, 29.95, 19.53, 28.15, 30.27, 28.34, 37.61, 30.54, 
##     44.3, 37.31, 27.26, 33, 22.68, 27.5, 29.05, 30.45, 28.19, 
##     24.21, 25.4, 29.86, 23.69, 24.96, 22.6, 24.41, 33.96, 32.08, 
##     27.37, 19.37, 36.11, 28.25, 33.96, 25.68, 24.21, 19.67, 28.48, 
##     28.79, 26.63, 33.28, 29.02, 39.75, 30.79, 21.87, 31.32, 42.91, 
##     39.13, 30.12, 33.59, 35.87, 27.6, 30.11, 28.5, 22.96, 37.13, 
##     26.85, 21.2, 38.39, 20.34, 23.63, 25.69, 31.19, 31.31, 30.04, 
##     25.13, 31.57, 25.38, 23.52, 30.54, 22.14, 25.82, 27.89, 22.81, 
##     29.86, 27.44, 27.37, 29.12, 29.24, 25.83, 21.14, 22.89, 25.39, 
##     25.1, 22.4, 24.63, 22.31, 32.19, 33.45, 25.68, 28.98, 20.18, 
##     22.31, 19.37, 32.62, 30.7, 30.9, 50.94, 23.59, 23.78, 28, 
##     24.68, 40.79, 21.46, 25.75, 30.34, 26.39, 19.53, 29.68, 32.76, 
##     26.63, 24.21, 25.5, 23.11, 22.96, 23.44, 23.12, 29.53, 23.03, 
##     41.8, 19.77, 26.63, 23.63, 27.89, 37.12, 24.41, 32.89, 27.32, 
##     41.84, 22.71, 20.51, 33, 40.61, 31.01, 28.19, 23.67, 22.71, 
##     36.4, 24.55, 25.84, 28.17, 29.95, 26.63, 18.97, 29.29, 26.73, 
##     29.18, 20.77, 29.35, 33.45, 27.96, 23.57, 19.22, 25.69, 25.77, 
##     32.78, 29.16, 25.82, 27.44, 32.22, 20.67, 26.5, 25.06, 29.18, 
##     32.61, 23.75, 25.24, 16.93, 22.46, 25.82, 25.1, 25.69, 27.1, 
##     38.74, 26.88, 39.54, 26.76, 31.25, 32.61, 27.46, 33.47, 22.13, 
##     28.35, 27.44, 29.53, 41.2, 24.96, 29.12, 26.29, 31.57, 22.86, 
##     28.19, 34.86, 28.32, 21.26, 31.8, 21.26, 21.62, 25.68, 32.08, 
##     24.37, 22.89, 22.34, 28.97, 29.86, 22.37, 24.21, 30.68, 23.62, 
##     34.97, 30.67, 38.69, 27.32, 34.75, 22.66, 25.79, 26.57, 36.58, 
##     27.44, 25.09, 28.34, 21.97, 30.57, 23.8, 28.7, 38.79, 25.83, 
##     20.92, 26.25, 21.14, 21.77, 22.31, 27.55, 24.89, 26.04, 22.47, 
##     33.45, 27.37, 23.62, 32.28, 30.27, 24.03, 28.89, 20.85, 21.48, 
##     29.05, 30.68, 19.2, 30.41, 25.79, 19.57, 26.06, 34.18, 54.25, 
##     28.32, 20.18, 28.19, 20.98, 22.96, 13.84, 19.2, 27.44, 19.27, 
##     21.41, 23.3, 28.91, 38.74, 29.12, 27.52, 28.29, 21.52, 35.94, 
##     28.34, 26.37, 24.21, 28.25, 23.49, 33.89, 32.98, 34.95, 20.36, 
##     34.75, 31.32, 28.8, 26.58, 32.28, 27.41, 30.71, 20.8, 24.75, 
##     28.34, 23.03, 28.48, 46.18, 19.77, 24.21, 42.33, 33.47, 25.84, 
##     36.32, 29.18, 36.05, 26.96, 34.46, 20.92, 19.77, 22.86, 37.11, 
##     25.75, 16.95, 23.23, 23.44, 27.46, 24.89, 23.57, 26.61, 31.89, 
##     35.51, 19.37, 32.01, 22.38, 30.67, 36.49, 23.4, 29.15, 20.6, 
##     25.09, 24.55, 44.29, 36.52, 31.89, 36.28, 30.12, 25.18, 23.03, 
##     31.17, 41.15, 32.78, 29.21, 25.09, 22.38, 32.28, 26.05, 26.37, 
##     31.66, 23.49, 32.6, 41.57, 32.92, 25.09, 28.32, 32.92, 18.31, 
##     25.1, 27.79, 28.25, 28.6, 33.82, 23.62, 29.63, 28.89, 28.13, 
##     22.32, 27.12, 26.78, 26.63, 26.08, 27.8, 30.51, 24.91, 24.96, 
##     27.34, 25.39, 17.94, 22.46, 18.56, 21.61, 42.5, 41.84, 20.18, 
##     30.23, 24.39, 29.95, 33.89, 38.73, 38.69, 29.05, 22.86, 38.41, 
##     31.62, 23.78, 15.95, 43.54, 25.4, 24.37, 36.94, 24.69, 41.37, 
##     24.8, 28.13, 27.44, 26.58, 26.63, 22.05, 33.91, 20.6, 25.69, 
##     59.72, 26.45, 24.21, 19.14, 28.08, 30.18, 39.69, 20.6, 32.44, 
##     21.25, 20.6, 36.61, 25.83, 25.75, 37.76, 29.53, 31.65, 22.66, 
##     31.19, 21.79, 27.12, 25.82, 29.35, 22.71, 31.32, 45.73, 27.73, 
##     27.81, 15.82, 32.78, 27.41, 20.37, 24.41, 20.67, 21.73, 25.11, 
##     35.87, 19.2, 33.72, 21.7, 41.16, 20.53, 36.15, 26.54, 29.95, 
##     64.57, 24.03, 32.56, 20.05, 21.93, 21.46, 27.12, 25.68, 28.48, 
##     33.09, 23.03, 24.39, 35.51, 21.63, 29.05, 40.29, 39.53, 27.12, 
##     27.44, 20.6, 29.84, 24.21, 37.12, 35.67, 28.7, 36.49, 23.03, 
##     27.16, 28.97, 35.9, 31.8, 31.89, 20.6, 29.29, 25.09, 21.93, 
##     32.55, 33.47, 25.77, 29.29, 21.63, 26.45, 29.05, 34.58, 23.78, 
##     21.63, 32.49, 43.4, 40.18, 23.63, 29.68, 31.75, 26.58, 34.33, 
##     25.02, 24.96, 20.66, 23.4, 21.7, 21.63, 23.53, 29.29, 23.11, 
##     32.95, 23.75, 37.79, 25.06, 23.78, 22.6, 37.66, 22.3, 21.11, 
##     22.96, 30.08, 30.18, 46.81, 28.37, 23.17, 27.37, 23.57, 28.35, 
##     33, 27.46, 30.9, 24.63, 19.73, 36.28, 21.95, 27.07, 31.62, 
##     26.76, 31.75, 30.41, 17.51, 28.34, 33.72, 35.26, 25.77, 26.87, 
##     22.96, 23.44, 21.52, 28.48, 26.54, 27.46, 22.31, 27.37, 21.14, 
##     27.71, 22.31, 23.3, 22.67, 35.43, 26.43, 33, 34.02, 34.21, 
##     28.19, 42.29, 20.32, 26.39, 27.12, 20.36, 24.33, 25.79, 25.8, 
##     30.9, 24.81, 23.78, 35.3, 31.32, 39.53, 21.08, 36.31, 26.96, 
##     25.61, 32.98, 30.13, 21.41, 21.62, 36.02, 21.11, 49.38, 36.61, 
##     29.53, 26.57, 42.1, 28.59, 29.41, 31.87, 27.51, 30.34, 26.58, 
##     32.74, 22.96, 25.06, 34.7, 23.67, 21.52, 28.13, 25.11, 25.8, 
##     33, 34.75, 30.86, 27.93, 38.44, 41.57, 29.53, 30.04, 30.18, 
##     45.26, 35.87, 24.41, 22.96, 32.28, 29.29, 24.28, 37.93, 36.92, 
##     23.09, 27.2, 23.62, 38.35, 20.34, 23.11, 28.84, 23.17, 31.06, 
##     36.58, 26.32, 29.65, 29.76, 26.45, 35.67, 32.28, 35.25, 35.44, 
##     22.71, 27.05, 23.4, 32.88, 27.8, 31.01, 29.08, 29.18, 35.95, 
##     27.89, 24.41, 24.68, 21.79, 36.94, 29.05, 29.8, 33.64, 24.96, 
##     23.49, 24.68, 33, 27.05, 35.9, 30.54, 32.95, 24.13, 29.95, 
##     40.39, 19.53, 29.12, 20.63, 26.31, 32.61, 39.16, 24.54, 28.12, 
##     30.23, 33.96, 15.34, 22.22, 40.14, 26.63, 32.11, 24.37, 27.81, 
##     23.01, 33.47, 22.16, 26.63, 23.1, 29.29, 30.67, 28.75, 25.82, 
##     25.09, 27.26, 33.45, 23.57, 25.33, 37.69, 28.37, 26.46, 24.21, 
##     23.71, 27.46, 33.28, 24.83, 22.32, 34.29, 25.77, 29.03, 22.6, 
##     31.09, 50.91, 27.26, 21.77, 42.43, 28.13, 28.89, 34.75, 44.29, 
##     32.45, 29.18, 53.81, 34.14, 22.6, 30.13, 33.28, 23.78, 27.98, 
##     31.19, 28.35, 39.53, 36.13, 28.52, 18.02, 29.05, 25.83, 22.96, 
##     26.54, 25.09, 39.87, 28.82, 31.24, 20.03, 21.93, 21.63, 20.18, 
##     20.14, 34.86, 27.55, 19.47, 32, 21.93, 22.13, 26.43, 31.93, 
##     25.83, 27.34, 28, 38.74, 22.8, 23.46, 32.92, 29.29, 29.05, 
##     33.47, 25.37, 30.11, 30.52, 22.68, 30.79, 31.95, 23.03, 34.33, 
##     26.58, 22.82, 25.09, 23.22, 27.32, 22.31, 40.74, 25.85, 24.39, 
##     32.01, 34.33, 28.5, 27.32, 22.81, 36.47, 24.56, 21.79, 25.04, 
##     22.92, 25.84, 34.18, 24.8, 28.7, 30.34, 26.45, 33.47, 31.53, 
##     32.28, 36.49, 26.5, 33.47, 27.34, 26.63, 26.63, 28.7, 29.05, 
##     25.75, 35.35, 19.08, 32.39, 35.61, 34.46, 23.63, 46.67, 29.41, 
##     21.41, 32.11, 26.22, 27.2, 47.24, 35.9, 20.36, 44.64, 25.06, 
##     61.79, 26.91, 25.79, 25.85, 24.33, 37.73, 39.53, 31.09, 24.69, 
##     27.12, 31.62, 26.45, 32.28, 26.57, 22.43, 25.85, 25.69, 29.95, 
##     26.3, 24.97, 23.57, 19.94, 35.24, 29.63, 25.68, 24.68, 28.34, 
##     27.6, 20.67, 23.72, 27.66, 23, 24.28, 25.83, 24.39, 24.41, 
##     22.81, 26.63, 24.89, 30.41, 31.75, 30, 22.24, 20.66, 25.1, 
##     27.98, 24.37, 30.9, 23.49, 24.41, 22.89, 34.02, 31.87, 23.42, 
##     33.45, 25.37, 24.03, 27.89, 25.83, 30.34, 46.99, 29.18, 24.95, 
##     25, 25.69, 25.25, 22.14, 32.89, 21.26, 34.95, 28.29, 23.67, 
##     37.7, 25.58, 25.1, 22.96, 25.4, 27.1, 27.44, 29.29, 37.1, 
##     20.34, 23.44, 21.14, 32.08, 28.62, 22.31, 27.44, 25.5, 33.67, 
##     27.12, 27.73, 28.32, 29.84, 34.5, 27.46, 30.67, 35.51, 33.84, 
##     26.57, 37.03, 32.49, 22.6, 49.38, 33.91, 42.8, 24.56, 28.06, 
##     30.13, 26.63, 35.15, 25.68, 33.23, 34.02, 26.95, 37.74, 23.96, 
##     16.65, 22.46, 27.44, 30.85, 32.14, 35.26, 29.65, 29.05, 34.22, 
##     22.87, 37.12, 31.64, 31.17, 31.75, 32.45, 28.06, 41.27, 23.17, 
##     28.41, 31.57, 27.64, 24.37, 27.44, 24.12, 33.67, 25.09, 30.13, 
##     29.05, 33, 19.94, 31.19, 28.7, 21.59, 21.4, 23.11, 26.45, 
##     28.25, 24.83, 36.35, 81.37, 29.97, 39.03, 23.71, 27.39, 23.63, 
##     34.46, 28.07, 25.83, 28.32, 22.46, 33, 31.32, 28.25, 23.03, 
##     40.18, 22.59, 21.63, 36.64, 29.69, 34.54, 26.83, 23.12, 34.7, 
##     18.99, 29.76, 30.07, 26.5, 29.38, 22.24, 20.67, 35.74, 29.69, 
##     24.8, 33.3, 27.67, 23.03, 42.07, 26.39, 36.14, 33.2, 29.26, 
##     34.75, 29.38, 21.14, 24.96, 33.45, 36.62, 23.4, 34.21, 26.63, 
##     29.65, 35.44, 51.69, 39.51, 33.63, 35.87, 29.65, 29.41, 36.76, 
##     31, 27.2, 41.35, 24.27, 39.06, 27.8, 24.83, 25.25, 19.49, 
##     23.63, 22.15, 33.77, 30.41, 30.27, 28.12, 32.28, 41.05, 24.87, 
##     24.69, 27.32, 29.86, 32.78, 25.79, 40.6, 23.06, 18.79, 36.68, 
##     24.24, 29.02, 32.28, 24.51, 21.63, 29.53, 31, 29.53, 25.29, 
##     24.33, 22.6, 23.62, 33.5, 28.9, 31.01, 32.56, 33.51, 33.83, 
##     35.43, 26.64, 33.07, 27.57, 29.29, 20.12, 32.99, 29.16, 41.61, 
##     20.48, 23.12, 23.78, 31.66, 33.2, 21.14, 27.12, 20.22, 27.46, 
##     20.81, 24.62, 25.68, 25.94, 25.09, 34.75, 24.69, 29.05, 26.96, 
##     38.37, 29.76, 31.09, 20.41, 32.77, 33.96, 25.75, 31.75, 38.47, 
##     26.95, 27.12, 27.71, 27.2, 25.68, 21.97, 27.12, 24.33, 27.37, 
##     29.29, 26.58, 27.76, 27.62, 20.37, 39.94, 24.21, 31.58, 36.4, 
##     30.47, 29.99, 23.57, 29.99, 24.03, 30, 25.09, 17.07, 32.28, 
##     28.34, 23.35, 58.36, 30.13, 30.9, 40.19, 32.55, 25.82, 33.2, 
##     24.86, 19.75, 27.99, 40.32, 31.19, 29.26, 27.29, 32.69, 27.41, 
##     29.56, 37.93, 31.19, 34.61, 34.34, 27.96, 27.26, 28.41, 25.69, 
##     28.43, 29.5, 27.91, 29.65, 30.43, 28.35, 28.72, 29.41, 27.44, 
##     23.78, 33.05, 27.2, 30.19, 27.96, 20.18, 22.4, 33.72, 28.48, 
##     34.06, 31.75, 34.33, 31.01, 25.82, 23.75, 23.69, 28.75, 27.1, 
##     25.33, 23.73, 33.12, 24.95, 35.73, 28.13, 25.07, 28.8, 29.12, 
##     37.12, 28.41, 28.75, 41.95, 27.05, 44.73, 48.03, 22.86, 26.22, 
##     25.09, 22.49, 27.46, 30.66, 28.19, 38.35, 29.29, 44.86, 35.24, 
##     26.37, 24.94, 22.05, 23.73, 21.79, 31.18, 32.12, 31.31, 26.61, 
##     24.53, 20.53, 27.26, 25.5, 26.58, 23.5, 27.37, 33.45, 25.29, 
##     22.66, 27.44, 31.19, 33.5, 35.24, 29.68, 42.23, 30.28, 22.86, 
##     28.82, 23.34, 30.18, 31.47, 40.69, 39.19, 36.62, 30.62, 25.77, 
##     30.51, 43.27, 20.98, 38.47, 27.4, 26.11, 28.97, 37.79, 26.29, 
##     29.99, 40.24, 22.45, 29.53, 23.37, 36.02, 40.18, 20.48, 31.93, 
##     24.14, 39.78, 25.4, 31.32, 34.44, 24.41, 31.01, 20.94, 29.53, 
##     27.89, 27.32, 25.61, 47.42, 23.17, 27.12, 30.68, 31.19, 22.59, 
##     25.39, 38.62, 23.39, 39.16, 29.21, 27.44, 36.58, 32.32, 28.16, 
##     22.67, 23.23, 25.07, 59.91, 36.32, 28.7, 27.98, 36.58, 28.29, 
##     32.78, 27.39, 26.54, 32.14, 50.18, 31.17, 23.01, 27.46, 23.57, 
##     26.08, 26.39, 23.03, 35.44, 21.52, 23.09, 32.78, 24.03, 24.98, 
##     22.46, 23.67, 22.32, 27.57, 24.03, 33.38, 49.13, 28.89, 31.89, 
##     28.98, 35.26, 29.84, 21.93, 36.92, 26.29, 46.64, 24.22, 25.61, 
##     49.13, 29.71, 27.5, 23.01, 29.99, 24.41, 36.49, 23.71, 24.28, 
##     28.7, 47.19, 27.46, 25.85, 26.16, 23.26, 23.44, 31.93, 29.18, 
##     28.48, 25.5, 39.75, 32.28, 22.66, 26.22, 26.5, 25.68, 32.92, 
##     29.87, 29.29, 32.72, 30.87, 40.24, 33.45, 20.66, 26.49, 33.12, 
##     22.6, 21.29, 22.62, 34.5, 28.8, 43.76, 33.28, 29.94, 34.17, 
##     34.46, 17.58, 21.97, 34.75, 32.08, 30.54, 27.63, 25.86, 50.3, 
##     25.09, 28.6, 22.68, 33.47, 28.06, 35.58, 20.63, 36.58, 26.87, 
##     30.13, 23.38, 33.75, 23.49, 31.24, 24.14, 31.87, 36.15, 28.32, 
##     20.6, 25.83, 24.62, 26.85, 25.61, 26.36, 25.02, 29.53, 35.51, 
##     26.33, 29.83, 31.17, 47.76, 21.95, 32.49, 40.45, 38.17, 35.43, 
##     32.61, 31.14, 39.48, 25.84, 21.87, 31.62, 27.44, 32.55, 28.97, 
##     28.97, 26.58, 21.97, 21.18, 24.68, 36.73, 30.38, 30.17, 40.69, 
##     33.28, 29.95, 21.09, 23.3, 25.06, 29.38, 26.83, 29.12, 26.07, 
##     28.21, 24.27, 32.28, 40.45, 17.7, 33, 30.54, 32.92, 34, 31.25, 
##     37.59, 41.09, 29.57, 15.2, 22.14, 52.94, 21.93, 38.39, 22.78, 
##     32.28, 33.28, 19.64, 31.19, 22.15, 25.06, 36.52, 27.46, 20.09, 
##     24.33, 33.28, 31.71, 31.46, 31.46, 32.27, 16.46, 26.63, 33.96, 
##     33.3, 29.18, 37.11, 26.32, 27.89, 37.3, 27.44, 25.5, 42.91, 
##     27.81, 24.39, 35.56, 21.63, 25.85, 34.87, 28.97, 20.3, 27.1, 
##     31.47, 21.26, 27.37, 24.41, 23.4, 27.98, 21.52, 28.48, 30.13, 
##     21.47, 24.8, 26.15, 27.89, 26.57, 26.61, 27.5, 25.85, 31.09, 
##     32.73, 27.17, 29.53, 22.81, 23.4, 38.96, 25.83, 31.01, 32.11, 
##     32.78, 31.62, 24.87, 34.95, 25.11, 33.83, 38.39, 32.69, 27.44, 
##     18.6, 20.12, 23.33, 31.09, 31.75, 23.06, 37.95, 26.63, 21.41, 
##     30.85, 26.63, 30.04, 59.97, 44.15, 31.19, 28.19, 36.35, 24.97, 
##     25.07, 42.51, 29.63, 29.84, 29.29, 28.07, 42.04, 28.62, 31.87, 
##     30.41, 41.1, 25.1, 26.09, 25.08, 27.41, 38, 28.17, 26.12, 
##     21.59, 30.23, 38.52, 23.63, 30.79, 35.91, 29.35, 30.85, 26.3, 
##     44.3, 33.9, 26.36, 31.32, 32.28, 26.54, 35.95, 42.83, 27.05, 
##     31.74, 26.63, 25.46, 27.37, 27.41, 56.25, 26.39, 31.01, 19.74, 
##     23.75, 25.07, 22.46, 24.89, 31.57, 28.7, 37.59, 35.26, 29.16, 
##     32.78, 18.99, 25.81, 22.24, 24.27, 31.18, 25.09, 31.57, 32.55, 
##     34.33, 25.84, 30.13, 27.44, 32.46, 28.95, 32.28, 27.96, 38.01, 
##     25.1, 32.95, 26.63, 32.25, 33.72, 44.21, 27.26, 23.78, 28.06, 
##     31.19, 23.96, 23.85, 26.63, 23.15, 20.78, 33.07, 29.35, 31.66, 
##     26.88, 23.23, 31.57, 29.62, 33.45, 29.29, 23.33, 33.45, 28.97, 
##     28.27, 29.05, 29.84, 27.29, 29.05, 33, 23.65, 25.83, 39.53, 
##     24.41, 30.71, 28.59, 36.87, 22.15, 37.66, 22.92, 22.14, 29.24, 
##     36.02, 31.57, 33.89, 23.63, 32.28, 38.02, 15.78, 29.35, 20.9, 
##     31.17, 33.91, 19.37, 34.97, 27.62, 29.29, 27.4, 24.41, 23.75, 
##     30.3, 31.93, 30.34, 22.31, 29.84, 36.41, 35.51, 21.97, 25.68, 
##     27.84, 37.66, 28.5, 20.51, 38.37, 29.68, 28.41, 31.01, 45.12, 
##     25.84, 28.34, 21.31, 23.67, 28.04, 56.31, 34.44, 17.95, 29.09, 
##     25.83, 27.12, 24.37, 31.44, 20.03, 31.75, 45.3, 25.58, 31.66, 
##     28.06, 32.98, 39.16, 23.3, 32.78, 30.18, 21.26, 19.89, 20.16, 
##     34.46, 19.37, 32.89, 40.18, 23.13, 25.75, 30.13, 22.4, 29.53, 
##     25.82, 36.76, 29.84, 29.05, 27.32, 27.99, 44.3, 26.54, 41.7, 
##     38.97, 42.29, 27.41, 25.82, 24.13, 39.48, 28.04, 26.63, 24.07, 
##     34.87, 20.78, 25.24, 30.73, 32.08, 27.1, 24.45, 27.4, 27.44, 
##     38.69, 34.17, 27.67, 29.23, 31.44, 27.41, 43.58, 29.39, 21.63, 
##     34.96, 47.29, 24.68, 50.21, 29.03, 26.5, 26.5, 23.99, 45.2, 
##     29.86, 25.36, 30.41, 25.8, 34.87, 33.45, 25.4, 25.24, 29.53, 
##     20.12, 31.05, 26.22, 30.4, 34.33, 27.25, 47.72, 29.65, 23.03, 
##     36.58, 23.06, 27.31, 23.3, 23.11, 26.95, 41.45, 43.4, 25.81, 
##     29.68, 35.26, 28.13, 36.62, 23.56, 30.28, 33.38, 32.55, 30.68, 
##     34.57, 35.49, 24.03, 29.53, 25.85, 36.4, 36.88, 28.45, 34.72, 
##     34.33, 31.87, 25.83, 36.33, 40.94, 27.2, 20.67, 33.91, 27.07, 
##     22.81, 26.37, 25.61, 19.53, 29.86, 27.46, 38.97, 28.8, 19.37, 
##     35.24, 26.61, 23.4, 26.17, 28.06, 33.47, 24.41, 25.77, 25.07, 
##     31.25, 32.55, 24.39, 39.16, 52.78, 28.89, 31.62, 30.54, 36.26, 
##     39.16, 19.74, 17.47, 27.12, 20.5, 32.28, 27.69, 23.34, 54.24, 
##     32.27, 34.77, 33.13, 32.28, 28.7, 24.68, 24.94, 16.76, 23.44, 
##     40.62, 25.7, 32.78, 21.79, 22.38, 28.34, 26.29, 25.02, 35.73, 
##     33.79, 32.92, 34.13, 17.63, 37.31, 27.44, 31.28, 21.54, 33.33, 
##     21.63, 21.46, 28.19, 37.44, 29.23, 33.84, 23.09, 25.84, 29.29, 
##     28.12, 25.69, 38.27, 19.58, 36.95, 18.02, 19.97, 25.85, 26.39, 
##     61.73, 26.95, 25.69, 29.5, 26.08, 22.24, 38.01, 24.41, 27.12, 
##     38.02, 26.61, 26.63, 28.89, 22.43, 22.31, 41.61, 47.3, 21.63, 
##     43.4, 24.03, 27.44, 28.7, 33.99, 24.21, 50.86, 30.34, 38.97, 
##     21.7, 24.69, 39.48, 36.34, 28.8, 38.62, 46.63, 51.33, 34.46, 
##     27.05, 25.84, 26.63, 30.11, 21.44, 23.4, 29.7, 27.4, 37.31, 
##     25.79, 28.7, 25.82, 31.8, 25.77, 17.95, 19.84, 29.05, 25, 
##     27.98, 24.14, 25.79, 22.6, 25.1, 29.24, 25.06, 31.32, 21.52, 
##     30.86, 34.87, 29.12, 17.56, 28.19, 29.41, 26.61, 31, 31.57, 
##     24.21, 29.24, 28.25, 34.33, 30.67, 22.31, 25.56, 23.11, 25.75, 
##     27.94, 26.45, 35.44, 36.08, 32.11, 35.3, 39.06, 36.49, 25.69, 
##     31.57, 29.29, 23.92, 20.98, 27.89, 30.04, 35.19, 37.21, 25.61, 
##     36.02, 33.95, 31.14, 34.87, 27.46, 27.37, 34.95, 27.07, 21.41, 
##     28.8, 27.72, 33.3, 33.45, 20.61, 25.69, 35.87, 25.06, 18.65, 
##     25.77, 27.44, 58.43, 37.91, 28.89, 27.25, 42.05, 26.54, 32.36, 
##     24.33, 30.13, 30.27, 37.76, 32.78, 24.77, 42.93, 36.59, 29.23, 
##     49.41, 27.44, 20.53, 28.73, 27.12, 25.82, 40.69, 20.22, 21.83, 
##     33.38, 22.5, 27.46, 21.87, 24.46, 44.63, 27.34, 29.86, 25.61, 
##     23.13, 28.8, 22.81, 26.61, 33, 24.41, 21.63, 22.31, 24.11, 
##     28.19, 29.95, 32.12, 28.13, 34.97, 40.43, 25.24, 34.33, 26.54, 
##     30.42, 30.54, 29.39, 29.86, 30.27, 40.67, 35.24, 26.32, 26.93, 
##     18.99, 24.95, 30.56, 29.65, 30.11, 29.84, 27.37, 25.82, 27.6, 
##     28.15, 37.49, 32.01, 25.84, 26.63, 25.51, 27.34, 30.52, 26.58, 
##     24.55, 33.99, 20.47, 21.18, 34.67, 31.24, 27.6, 30.87, 29.86, 
##     20.37, 37.12, 51.56, 48.43, 22.15, 22.15, 39.33, 26.57, 27.8, 
##     21.11, 43.43, 30.3, 27.91, 30.02, 23.41, 29.41, 34.3, 28.8, 
##     22.92, 28.8, 26.63, 28.67, 49.95, 32.28, 32.55, 45.83, 24.28, 
##     24.56, 20.45, 31.93, 37.59, 28.34, 34.33, 25.39, 39.8, 28.85, 
##     24.39, 25.1, 20.3, 28.76, 21.79, 28.25, 30.13, 25.82, 24.54, 
##     29.35, 21.79, 28.29, 22.81, 23.67, 31.57, 27.26, 23.69, 28.89, 
##     31.33, 28.34, 32.5, 24.33, 29.95, 24.24, 29.86, 32.61, 19.46, 
##     32, 25.1, 25.09, 34.21, 35.87, 26.58, 28.48, 30.92, 28.48, 
##     19.3, 25.45, 28.32, 44.4, 24.03, 24.28, 35.89, 26.04, 21.95, 
##     41.92, 29.86, 27.12, 23.63, 34.87, 43.03, 26.83, 29.95, 33.91, 
##     26.14, 24.33, 36.92, 27.37, 21.79, 35.19, 44.6, 29.7, 31.79, 
##     28.89, 32.22, 31.09, 21.8, 35.02, 36.49, 29.48, 26.54, 31.19, 
##     29.84, 23.4, 25.66, 27.41, 29.16, 49.02, 26.39, 34.46, 25.15, 
##     31.01, 15.66, 27.26, 35.94, 29.53, 48.59, 27.5, 29.68, 23.63, 
##     25.82, 24.21, 23.96, 31.01, 16.6, 33.67, 28.8, 39.11, 31, 
##     31.87, 26.07, 39.13, 30.04, 34.72, 24.89, 30.04, 24.01, 28.06, 
##     30.54, 31.57, 31.28, 28.35, 20.34, 23.53, 29.23, 33.33, 26.63, 
##     31.75, 32.55, 31.41, 25.68, 24.11, 27.89, 25.84, 28.7, 22.6, 
##     17.72, 23.78, 36.92, 27.59, 31.57, 25.09, 26.63, 26.17, 36.59, 
##     54.07, 25.75, 30.13, 21.35, 19.2, 27.98, 23.24, 32.49, 19.35, 
##     27.89, 32.77, 32.69, 29.76, 23.99, 26.04, 22.87, 33.25, 29.85, 
##     34.33, 28.28, 40.74, 30.29, 24.96, 29.84, 21.41, 23.4, 25.85, 
##     28.45, 28.7, 37.79, 41.14, 32.1, 28.7, 50.9, 24.96, 32.28, 
##     23.06, 27.41, 33.96, 26.63, 25.06, 34.3, 36.4, 24.53, 33.99, 
##     21.81, 21.7, 29.7, 32.32, 29.84, 19.26, 24.28, 27.32, 31.74, 
##     23.11, 47.24, 41.6, 26.29, 34.33, 28.41, 24.8, 23.13, 41.77, 
##     31.57, 29.95, 28.12, 30.68, 37.31, 48.42, 26.63, 49.02, 26.15, 
##     30.13, 29.05, 33.23, 23.75, 19.84, 34.44, 27.37, 28.13, 29.54, 
##     25.82, 22.71, 34.44, 17.95, 27.4, 35.44, 26.63, 29.49, 21.7, 
##     25.61, 26.04, 22.46, 32.1, 34.95, 27.44, 28.87, 24.96, 36.02, 
##     33.63, 26.63, 30.96, 37.86, 46.06, 25.91, 37.59, 24.96, 25.54, 
##     34.58, 27.63, 30.17, 29.05, 26.63, 18.02, 27, 23.24, 34.67, 
##     32.92, 29.18, 33.45, 25.02, 31.93, 42.07, 25.8, 34.56, 45.35, 
##     28.12, 28.06, 27.29, 53.22, 38.47, 28.13, 22.31, 44.29, 39.87, 
##     27.44, 29.53, 25.24, 25.77, 28.35, 39.33, 27.12, 33.23, 27.98, 
##     37.5, 28.84, 39.58, 22.31, 36.56, 34.33, 25.09, 25.29, 34.98, 
##     23.67, 24.46, 29.53, 29.05, 29.63, 22.15, 34.67, 29.76, 27.26, 
##     29.53, 44.09, 34.46, 27.1, 27.12, 20.05, 21.26, 39.38, 27.12, 
##     40.55, 24.03, 25.39, 23.26, 22.32, 35.89, 26.5, 28.07, 20.3, 
##     21.52, 18.72, 23.23, 34.7, 18.25, 32.98, 25.83, 27.26, 28.03, 
##     38.74, 24.13, 24, 28.12, 36.92, 32.12, 29.43, 41.96, 29.05, 
##     24.28, 25.09, 25.04, 47.47, 28.17, 25.73, 26.58, 37.6, 29.05, 
##     35.15, 24.41, 26.63, 33.82, 26.63, 29.41, 23.63, 26.63, 20.81, 
##     12.34, 42.76, 24.12, 50.18, 29.84, 22.67, 26.07, 30.3, 37.93, 
##     22.43, 25.83, 25.09, 28.53, 33.07, 28.06, 22.32, 27.2, 31.71, 
##     24.41, 18.3, 31.47, 37.66, 34.01, 36.62, 25.06, 21.79, 23.05, 
##     27.12, 27.98, 25.7, 29.18, 36.58, 34.58, 18.95, 24.39, 30.55, 
##     25.82, 35.95, 27.2, 31.38, 29.03, 24.83, 27.8, 36.81, 29.53, 
##     37.8, 37.38, 29.05, 32.55, 19.01, 28.34, 40.43, 27.44, 26.47, 
##     27.98, 26.61, 26.63, 29.53, 24.96, 32.98, 26.63, 28.73, 37.12, 
##     37.3, 26.88, 25.04, 25.39, 23.81, 42.91, 24.96, 31.57, 31.47, 
##     34.87, 27.41, 21.31, 57.39, 27.37, 28.19, 23.57, 26.58, 28.34, 
##     31.38, 33.41, 36.18, 24.24, 31.32, 31.02, 17.97, 33.2, 19.49, 
##     24.33, 29.44, 23.71, 33.47, 32.98, 28.03, 20.36, 31.01, 25.09, 
##     27.44, 28.35, 50.77, 22.32, 22.32, 27.12, 22.27, 21.63, 28.13, 
##     31.57, 28.89, 21.26, 37.31, 33.23, 28.48, 38.65, 30.9, 20.43, 
##     27.26, 32.55, 22.46, 30, 31.47, 46.94, 36.49, 48.42, 37.5, 
##     31.62, 25.39, 26.31, 33.72, 27.79, 38.73, 20.95, 31, 27.46, 
##     35.26, 36.94, 32.28, 32.98, 25.61, 24.33, 31.75, 25.06, 29.26, 
##     28.34, 30.13, 36.18, 29.53, 27.51, 33, 30.73, 35.62, 31, 
##     24.5, 19.97, 42.83, 19.14, 25.58, 23.6, 35.33, 31.93, 31.25, 
##     34.87, 27.62, 35.07, 30.72, 33.67, 38.92, 26.54, 29.26, 24.34, 
##     25.84, 33.91, 32.28, 38.95, 24.82, 27.98, 35.51, 26.97, 25.37, 
##     40.77, 29.56, 25.75, 37.44, 29.99, 37.24, 32.88, 21.29, 25.1, 
##     21.13, 42.05, 27.05, 35.55, 21.48, 26.39, 23.69, 26.91, 33.72, 
##     26.94, 22, 29.29, 22.86, 24.69, 32.92, 36.33, 43.75, 25.58, 
##     31.6, 28.12, 25.25, 22.46, 27.32, 32.98, 25.5, 20.82, 29.84, 
##     49.81, 21.79, 35.24, 23.43, 18.02, 29.16, 28.97, 23.73, 25.1, 
##     27.96, 21.46, 29.05, 30.81, 25.1, 25.42, 31.66, 35.25, 29.19, 
##     38.74, 30.54, 40.44, 24.33, 26.63, 26.63, 33.47, 34.18, 21.4, 
##     29.65, 29.41, 25.82, 23.01, 31.89, 30.85, 36.68, 23.57, 23.71, 
##     25.83, 24.33, 27.89, 38.52, 29.98, 19.77, 29.1, 26.37, 22.38, 
##     25.18, 26.29, 32.72, 33.28, 32.98, 24.56, 36.28, 51.68, 28.19, 
##     25.8, 30.41, 26.71, 27.4, 39.75, 23.05, 23.78, 31.89, 25.1, 
##     23.33, 24.33, 25.24, 19.2, 26.58, 48.42, 30.52, 32.6, 29.05, 
##     23.67, 25.02, 34.46, 30, 33.47, 32.32, 25.33, 40.74, 27.05, 
##     25.61, 28.73, 34.38, 33.47, 28.66, 32.22, 20.45, 33.05, 15.6, 
##     24.96, 21.14, 32.55, 36.54, 26.58, 42.23, 43.05, 22.6, 37.66, 
##     24.41, 40.89, 25.1, 25, 28.87, 36.92, 21.26, 40, 27.46, 42.51, 
##     25.02, 27.26, 33.67, 26.54, 27.86, 27.1, 24.53, 29.5, 21.93, 
##     26.63, 33.38, 27.76, 22.14, 48.78, 44.64, 28.97, 25.4, 35.44, 
##     22.24, 41.99, 30.9, 26.63, 31.38, 29.84, 25.83, 39.94, 29.12, 
##     28.21, 26.61, 41.35, 35.15, 28.34, 31.96, 25.07, 24.21, 24.96, 
##     31.06, 35.02, 26.63, 27.26, 29.05, 48.75, 32.55, 19.53, 23.6, 
##     19.51, 27.32, 33.38, 25.61, 23.41, 23.49, 25.1, 33.91, 29.03, 
##     20.97, 35.94, 25.8, 29.6, 37.23, 26.22, 44.92, 31.1, 28.47, 
##     34.54, 33.91, 27.46, 28.7, 31.78, 28.9, 31, 22.85, 27.25, 
##     27.21, 32.08, 28.95, 32.1, 44.09, 34.11, 30.68, 26.96, 32.45, 
##     22.24, 37.79, 39.06, 28.25, 25.06, 29.35, 27.98, 38.02, 39.45, 
##     22.38, 22.98, 28.13, 26.58, 45.89, 26.78, 20.67, 28.06, 27.72, 
##     25.09, 32.55, 30.42, 31, 30.23, 24.56, 25.77, 28.25, 32.55, 
##     29.29, 31.24, 27.41, 24.82, 33.91, 25.39, 33.23, 25.33, 32.28, 
##     29.05, 26.63, 31.32, 27.98, 27.8, 31.37, 27.41, 36.34, 33.91, 
##     28.34, 40.89, 26.32, 18.79, 31.25, 23.49, 37.98, 30.41, 27.71, 
##     33.28, 25.04, 30.34, 28.59, 24.69, 26.54, 23.67, 27.46, 29.19, 
##     21.3, 27.12, 27.88, 23.5, 25.11, 24.96, 28.28, 25.68, 31.31, 
##     28.34, 34.75, 30.13, 32.78, 27.34, 18.8, 18.32, 26.17, 28.46, 
##     24.33, 36.61, 29.03, 28.19, 39.48, 33.91, 30.9, 20.36, 25.7, 
##     29.44, 32.01, 21.52, 34.17, 27.46, 24.56, 27.57, 22.81, 22.6, 
##     30.52, 18.88, 20.34, 49.78, 25.09, 24.8, 23.18, 26.5, 24.56, 
##     22.89, 30.11, 30.38, 32.76, 32.11, 32.92, 18.99, 24.14, 24.21, 
##     34.33, 29.16, 25.54, 18.83, 45.89, 22.31, 20.67, 30.67, 30.04, 
##     30.81, 44.08, 29.76, 22.05, 38.97, 30.47, 33, 18.33, 25.8, 
##     24.13, 27.67, 28.8, 24.03, 28.25, 31.15, 33.2, 23.83, 26.11, 
##     21.63, 27.2, 28.06, 23.39, 24.03, 35.87, 23.71, 22.6, 95.66, 
##     31.01, 29.53, 32.89, 29.95, 33.66, 23.91, 37.66, 26.52, 30.52, 
##     31.38, 27.62, 31.25, 32.69, 42.07, 38.74, 41.6, 28.06, 24.21, 
##     43.27, 38.39, 27.88, 30.23, 24.63, 27.12, 30.96, 32.12, 29.15, 
##     21.84, 26.95, 30.29, 15.34, 24.39, 22.15, 26.61, 29.53, 25.09, 
##     31.79, 25.84, 26.94, 32.96, 26.63, 28.89, 31.01, 56.54, 29.76, 
##     20.67, 27.4, 28.46, 23.49, 22.96, 28.32, 47.77, 37.28, 24.75, 
##     31.75, 28.19, 20.97, 21.95, 33.65, 28.7, 36.18, 29.87, 25.82, 
##     42.82, 27.37, 30.13, 29.66, 29.57, 27.12, 31.57, 26.58, 33.91, 
##     26.58, 30.51, 28.45, 33.66, 26.54, 21.26, 22.92, 25.69, 31.31, 
##     25.09, 28.13, 34.3, 25.11, 46.63, 20.67, 24.46, 33.23, 18.79, 
##     39.16, 37.97, 22.05, 39.75, 29.5, 36.18, 36.02, 37.45, 27.55, 
##     35.44, 31.09, 30.91, 36.81, 44.73, 35.52, 32.1, 29.12, 24.21, 
##     19.3, 18.88, 29.95, 29.84, 26.26, 29.53, 33.96, 42.51, 21.14, 
##     34.72, 49.42, 27.31, 35.87, 30.71, 25.69, 22.46, 29.95, 26.57, 
##     39.16, 29.05, 34.54, 27.94, 22.67, 24.51, 33.23, 23.63, 23.17, 
##     32.36, 39.16, 24.72, 25.96, 22.6, 34.96, 24.89, 33, 25.06, 
##     28.89, 24.83, 31.65, 43.58, 23.52, 18.94, 30.81, 30.41, 23.11, 
##     32.49, 31.32, 27.46, 39.77, 31.19, 27.44, 24.56, 32.5, 26.61, 
##     28.7, 20.01, 32.28, 31.89, 33.96, 39.68, 44.63, 24.41, 25.61, 
##     24.94, 25.85, 25.85, 27.12, 21.93, 21.41, 36.94, 27.37, 23.74, 
##     24.11, 31.17, 24.39, 30.56, 22.85, 19.53, 34.75, 27.2, 34.17, 
##     22.81, 25.11, 21.26, 22.6, 24.48, 28.43, 20.94, 20.18, 23.49, 
##     26.57, 26.45, 28.87, 19.4, 34, 26.95, 27.71, 32.1, 34.87, 
##     36.19, 28.13, 29.48, 31.75, 23.02, 28.34, 23.75, 35.87, 30.41, 
##     20.12, 33.45, 32.28, 26.61, 30.43, 28.48, 26.08, 38.09, 22.96, 
##     28.19, 28.06, 31.24, 24.41, 16.46, 25.83, 26.72, 24.03, 31.32, 
##     30.27, 24.39, 27.26, 27.89, 40.55, 31.25, 39.87, 30.41, 26.63, 
##     50.22, 29.84, 37.5, 30.67, 34.86, 29.65, 30.67, 27.34, 31.93, 
##     31.46, 20.78, 28.89, 27.46, 30.17, 27.44, 38.62, 21.8, 27.28, 
##     25.85, 40.77, 45.49, 33.09, 39.75, 23.73, 18.79, 25.83, 23.34, 
##     30.68, 24.37, 23.01, 26.63, 23.23, 19.2, 27.46, 27.72, 27.32, 
##     26.39, 25.99, 31.93, 32.55, 25.25, 54.79, 39.68, 40.18, 33.47, 
##     28.06, 29.53, 46.22, 28.7, 30.87, 28.59, 23.67, 30.68, 35.82, 
##     32.55, 32.12, 27.29, 32.49, 29.26, 33.91, 27.8, 25, 29.65, 
##     27.18, 36.92, 20.36, 23.01, 44.86, 31.95, 25.79, 23.81, 27.8, 
##     33.57, 25.09, 29.24, 48.12, 20.67, 25.85, 19.75, 31.57, 32.61, 
##     24.89, 45.63, 35.15, 37.59, 35.98, 23.13, 29.05, 26.91, 32.1, 
##     18.97, 21.81, 26.5, 29.84, 21.95, 41.61, 16.37, 24.02, 31.87, 
##     54.94, 27.37, 30, 21.26, 30.42, 31.16, 21.61, 23.01, 24.28, 
##     18.52, 29.53, 31.24, 33, 23.05, 32.49, 33.79, 29.1, 24.41, 
##     25.61, 20.36, 33.99, 36.92, 42.22, 18.19, 26.57, 25.11, 29.59, 
##     28.89, 34.7, 38, 30.54, 19.77, 51.54, 23.91, 32.19, 23.13, 
##     24.03, 32.98, 45.04, 27.93, 32.49, 25.84, 31.32, 30.27, 32.61, 
##     25.22, 25.02, 36.64, 25.84, 23.75, 24.96, 28.94, 30.02, 34.46, 
##     31.64, 32.28, 23.69, 27.32, 47.47, 35.87, 27.27, 35.62, 30.13, 
##     27.41, 27.67, 26.97, 24.41, 29.84, 30.41, 72.31, 33.75, 26.95, 
##     22.5, 36.9, 36.49, 22.81, 23.3, 28.59, 41.2, 41.6, 30.52, 
##     33.47, 31.6, 22.86, 39.14, 33.38, 52.9, 28.19, 34.33, 29.98, 
##     49.6, 28.19, 28.51, 28.32, 30.13, 27.12, 23.3, 28.14, 30.29, 
##     38.62, 52.47, 31.32, 42.83, 30.62, 26.54, 20.36, 32.92, 30.11, 
##     60.08, 27.55, 29.68, 31.64, 27.46, 30.87, 33.25, 22.75, 28.34, 
##     39.16, 20.67, 25.06, 35.32, 50.12, 25.24, 37.83, 24.63, 30.25, 
##     23.43, 25.06, 25.83, 25.83, 22.86, 38.01, 45.19, 25.02, 21.26, 
##     35.82, 30.85, 29.29, 19.05, 35.73, 28.7, 37.51, 23.96, 20.6, 
##     27.76, 27.5, 28.32, 34.7, 19.66, 27.81, 24.96, 29.53, 27.12, 
##     23, 22.27, 30.34, 29.79, 28.6, 30.23, 23.83, 63.77, 20.81, 
##     36.49, 28.34, 26.16, 28.13, 26.63, 17.5, 29.16, 30.18, 34.7, 
##     21.2, 22.67, 44.85, 34.33, 30.3, 32.5, 24.37, 26.4, 25.82, 
##     30.52, 25.02, 30.79, 32.1, 28.34, 31.32, 43.05, 24.82, 26.52, 
##     31.01, 20.45, 27.44, 28.89, 34.39, 30.38, 34.46, 27.79, 49.92, 
##     27.89, 39.48, 21.29, 31.19, 26.63, 42.29, 25.75, 34.7, 25.75, 
##     30.41, 32.77, 32.69, 26.12, 35.83, 43.22, 32.81, 33.2, 29.84, 
##     30.9, 59.13, 32.55, 29.53, 23.3, 17.92, 42.04, 25.97, 31.25, 
##     28.35, 47.08, 24.22, 28.12, 36.58, 33.45, 36.31, 16.47, 37.31, 
##     29.65, 23.17, 28.25, 27.26, 34.33, 37.44, 44.93, 30.34, 26.31, 
##     29.29, 41.37, 20.98, 27.46, 38.97, 35.94, 33.28, 29.15, 25.4, 
##     25.75, 19.49, 29.05, 22.81, 23.73, 27.26, 24.8, 25.55, 29.41, 
##     38.35, 26.45, 25.32, 26.04, 15.62, 30.67, 23.49, 16.97, 27.44, 
##     25.61, 19.9, 29.41, 21.93, 22.85, 24.21, 35.73, 49.26, 42.38, 
##     28.48, 31.89, 24.39, 39.06, 18.47, 25.09, 38.74, 33.47, 25.42, 
##     34.97, 38.63, 26.52, 31.18, 27.34, 39.87, 29.49, 30.9, 18.82, 
##     23.49, 48.15, 34.75, 28.89, 27.81, 30.85, 19.53, 35.51, 30, 
##     37.61, 25.85, 35.74, 26.25, 40.27, 29.29, 29.05, 35.15, 31.47, 
##     23.4, 31.75, 28.12, 25.84, 34.31, 43.36, 26.88, 31.55, 32.28, 
##     28.34, 36.32, 23.06, 22.89, 35.51, 26.61, 28.89, 30.11, 32.01, 
##     42.87, 27.46, 34.2, 37.77, 34.96, 34.46, 36.05, 24.13, 24.14, 
##     27.07, 23.56, 47.43, 32.55, 36.94, 22.13, 24.8, 23.11, 25.82, 
##     26.95, 34.33, 30.11, 21.95, 28.7, 23.69, 29.26, 17.75, 25.82, 
##     26.61, 31.32, 24.13, 25.75, 24.37, 27.48, 23.63, 27.1, 24.82, 
##     35.43, 25.99, 29.03, 18.79, 22.22, 34.46, 23.57, 29.18, 23.4, 
##     29.86, 21.79, 33.05, 33.72, 22.31, 32.78, 31.78, 27.37, 43.18, 
##     30.79, 25.06, 25.02, 25.25, 35.43, 18.01, 29.53, 25.29, 19.97, 
##     33.64, 27.37, 34.02, 31, 33, 33.23, 16.74, 28.67, 23.12, 
##     26.61, 42.91, 39.18, 24.83, 16.74, 26.54, 26.5, 28.7, 33.48, 
##     31.62, 32.49, 29.65, 25.79, 27.34, 25.77, 29.16, 36.59, 42.97, 
##     28.73, 25.77, 26.85, 17.51, 27.41, 31.93, 32.69, 24.39, 24.21, 
##     39.68, 28.79, 28.35, 23.4, 31.01, 41.61, 42.07, 23.3, 27.89, 
##     26.26, 30.85, 20.34, 31.38, 26.96, 40, 27.63, 27.46, 26.39, 
##     22.15, 27.98, 32.08, 27.63, 27.46, 32.28, 28.7, 38.27, 34.44, 
##     20.55, 25.79, 32.58, 25.39, 29.12, 34.44, 35.88, 26.63, 23.63, 
##     49.42, 28.34, 33.47, 30.13, 31.25, 25.85, 28.89, 27.44, 25.77, 
##     27.2, 26.09, 24.21, 29.26, 24.41, 34.75, 32.28, 33.38, 17.68, 
##     38.02, 31.57, 34.46, 27.37, 27.67, 24.21, 27.12, 28.06, 23.3, 
##     38.62, 18.47, 31.95, 27.17, 30.68, 35.51, 22.31, 24.86, 24.51, 
##     29.44, 24.46, 26.15, 30.11, 31.57, 33.28, 26.57, 35.1, 45.17, 
##     27.1, 36.92, 31.07, 36.58, 22.32, 28.7, 23.01, 30.34, 36.25, 
##     24.75, 60.06, 28.84, 19.57, 21.79, 16.64, 28.7, 27.6, 31.83, 
##     38.97, 22.96, 31, 24.82, 32.89, 32.92, 20.67, 36.02, 21.3, 
##     29.29, 24.03, 34.02, 40.6, 32.55, 40.69, 19.94, 26.17, 28.66, 
##     78.31, 31.62, 28.06, 24.96, 28.75, 34.45, 32.22, 35.9, 22.31, 
##     23.63, 24.2, 31.09, 26.52, 22.48, 28.73, 33.91, 31.17, 26.39, 
##     22.81, 38.74, 37.25, 28.27, 36.9, 21.14, 30.13, 30.3, 28.48, 
##     32.45, 26.26, 22.53, 25.06, 22.92, 26.88, 38.84, 35.51, 33.66, 
##     27.34, 32.49, 31.38, 30.62, 22.5, 25.18, 26.58, 20.47, 23.78, 
##     36.36, 28.06, 28.97, 26.15, 17.23, 19.97, 24.89, 25.9, 25.7, 
##     29.05, 14.65, 34.9, 23.57, 29.53, 27.71, 37.68, 35.87, 26.63, 
##     25.84, 23.06, 24.41, 28.32, 36.96, 27.34, 25.61, 41.98, 24.37, 
##     32.98, 31.82, 32.28, 30.13, 37.59, 35.44, 25.1, 27.44, 35.43, 
##     34.97, 27.18, 37.66, 39.48, 28.35, 29.16, 32.28, 27.8, 27.98, 
##     26.61, 26.54, 30.68, 32.32, 26.61, 34.46, 38.09, 32.49, 31.32, 
##     21.11, 26.63, 28.73, 30.27, 46.99, 24.96, 25.63, 23.3, 28.17, 
##     23.67, 22.65, 33.75, 24.28, 34.87, 28.45, 37.66, 25.75, 19.37, 
##     19.37, 19.58, 22.46, 33.91, 32.01, 25.83, 32.55, 37.59, 34.18, 
##     27.98, 33.95, 34.7, 28.34, 58.73, 24.03, 24.14, 25.09, 27.05, 
##     38.01, 22.96, 31.32, 25.07, 32.55, 35.43, 30.68, 20.94, 19.11, 
##     32.5, 31.89, 25.84, 27.41, 24.55, 24.8, 26.08, 27.89, 41.6, 
##     23.49, 21.97, 27.44, 30.13, 27.12, 18.19, 38.37, 25.61, 28.28, 
##     27.37, 38.01, 39.06, 34.67, 18.99, 38.74, 18.56, 32.06, 28.13, 
##     31.89, 25.82, 33.25, 22.73, 22.4, 45.91, 30.8, 35.43, 28.84, 
##     27.92, 30.18, 31.12, 32.28, 27.46, 49.5, 33.29, 46.99, 48.82, 
##     24.41, 34.44, 30.5, 28.89, 27.37, 46.99, 29.84, 27.44, 24.96, 
##     30.27, 25.11, 22.71, 25.75, 27.98, 20.98, 21.63, 22.27, 29.29, 
##     46.11, 28.97, 35.24, 29.53, 26.58, 24.25, 22.81, 29.86, 21.52, 
##     22.5, 33.15, 33, 30.54, 31.19, 25.09, 20.34, 27.64, 29.29, 
##     20.53, 30.83, 29.76, 34.95, 32.22, 25.24, 30.99, 41.61, 29.29, 
##     27.44, 31.47, 26.45, 35.87, 18.37, 24.56, 29.84, 27.22, 28.08, 
##     32.28, 20.92, 24.89, 30.67, 34.58, 23.01, 38.77, 48.42, 29.44, 
##     27.89, 25.77, 24.25, 36.58, 31.71, 37.76, 42.91, 36.58, 21.62, 
##     34.44, 38.74, 23.43, 28.06, 27.62, 26.61, 31.55, 24.41, 35.62, 
##     27.78, 26.83, 39.33, 29.29, 27.44, 27.89, 20.6, 41.7, 24.3, 
##     33.47, 29.95, 44.09, 21.93, 30.23, 24.69, 25.11, 28.19, 34.99, 
##     34.01, 30.13, 19.94, 23.49, 27.46, 32.28, 27.26, 24.03, 31.01, 
##     27.98, 33.61, 35.87, 23.03, 28.9, 27.37, 29.16, 33.51, 27.26, 
##     24.69, 29.76, 32.49, 25.02, 23.52, 20.98, 23.57, 32.82, 26.95, 
##     24.83, 29.95, 31.25, 28.13, 31.17, 31.57, 32.28, 23.74, 18.3, 
##     28.34, 33, 13.73, 31.78, 31.93, 37.66, 34.87, 41.84, 33.47, 
##     28.5, 30.41, 25.4, 39.23, 25.06, 27.89, 21.74, 30.38, 25.18, 
##     27.89, 30.41, 28.34, 32.23, 25.84, 33.45, 33.89, 34.01, 30.38, 
##     36.94, 19.91, 27.8, 28.06, 22.6, 24.37, 33.96, 33.47, 29.29, 
##     31.66, 26.91, 27.32, 24.3, 25.06, 36.39, 23.78, 30.68, 26.61, 
##     24.37, 37.79, 35.43, 31.01, 25.85, 32.28, 91.55, 20.51, 25.97, 
##     31.32, 30.13, 21.79, 32.92, 29.29, 25.11, 19.48, 38.74, 30.12, 
##     23.75, 27.46, 28.41, 44.79, 33.6, 24.41, 30.38, 28.89, 36.54, 
##     25.83, 44.29, 32.08, 27.26, 34.33, 21.97, 27.44, 29.41, 28.89, 
##     18.6, 30.79, 29.26, 29.21, 23.22, 15.82, 25.1, 37.07, 28.48, 
##     34.95, 27.17, 31.17, 56.64, 30.38, 31.85, 28.35, 26.18, 28.29, 
##     31.46, 29.81, 32.14, 27.98, 38.23, 34.08, 21.02, 19.31, 22.6, 
##     36.94, 28.25, 36.05, 25.85, 32.92, 32.08, 27.44, 28.8, 31.57, 
##     36.32, 26.3, 22.24, 21.61, 22.71, 34.37, 44.29, 32.22, 28.32, 
##     29.16, 36.4, 26.63, 27.37, 28.19, 29.21, 42.04, 19.49, 29.65, 
##     25.06, 39.71, 37.31, 30.42, 20.19, 29.41, 27.41, 22.71, 30.54, 
##     33.25, 22.32, 20.09, 31.74, 22.86, 32.28, 40.76, 31.25, 20.8, 
##     21.63, 30.68, 27.55, 27.84, 29.84, 19.37, 27.28, 39.05, 28.29, 
##     44.29, 31.66, 25.84, 28.97, 27.46, 30.27, 29.76, 30.11, 32.28, 
##     30.7, 27.98, 32.42, 26.04, 21.62, 33.84, 35.62, 21.14, 46.37, 
##     23.63, 25.23, 24.13, 31.32, 21.52, 27.71, 52.11, 26.99, 37.31, 
##     33.96, 29.15, 25.09, 29.03, 29.05, 16.27, 23.67, 38.61, 25.84, 
##     22.11, 34.59, 27.78, 18.66, 30.24, 25.11, 36.02, 30.11, 20.34, 
##     28.12, 52.46, 28.75, 29.02, 31.01, 27.26, 35.44, 26.11, 26.58, 
##     19.74, 30.9, 24.37, 30.11, 27.12, 20.34, 31.75, 19.26, 25.34, 
##     29.86, 23.73, 31.32, 27.44, 25.51, 29.95, 33.91, 26.63, 41.2, 
##     27.09, 31.32, 24.96, 32.55, 34.01, 33.4, 22.81, 30.62, 32.69, 
##     30.41, 29.95, 28.91, 23.57, 36.96, 35.14, 28.08, 26.61, 32.49, 
##     32.61, 31.66, 23.78, 21.53, 22.32, 28.57, 31.62, 25.82, 20.6, 
##     37.71, 22.5, 25.84, 27.98, 37.86, 25.1, 25.85, 23.17, 35.67, 
##     31.02, 34.54, 25, 20.6, 37.79, 20.37, 26.46, 23.23, 23.63, 
##     30.9, 25.66, 28.37, 21.95, 29.49, 19.97, 23.73, 34.96, 29.53, 
##     25.73, 25.75, 30.34, 27.44, 39.86, 31.89, 34.85, 25.02, 26.95, 
##     27.89, 27.89, 31.85, 32.61, 24.41, 26.5, 34.5, 24.27, 22.04, 
##     27.89, 29.05, 27.44, 25.06, 27.62, 27.8, 41.6, 32.28, 33.47, 
##     34.93, 31.27, 34.75, 25.1, 27.76, 46.03, 24.41, 36.92, 29.16, 
##     30, 32.49, 30.61, 22.15, 34.37, 21.63, 28.25, 23.67, 29.83, 
##     28.48, 30.04, 37.44, 37.56, 29.76, 36.61, 31.01, 39.16, 35.3, 
##     29.41, 32.59, 28.98, 25.79, 27.76, 27.98, 33, 26.63, 24.39, 
##     22.15, 30.13, 40.19, 18.84, 26.45, 33.91, 19.79, 29.35, 23.53, 
##     30.18, 43.9, 29.99, 28.23, 29.16, 25.68, 39.33, 27.84, 40.31, 
##     31.25, 27.26, 32.34, 33.54, 32.28, 23.62, 30.83, 25.66, 26.26, 
##     20.09, 25.83, 21.29, 32.78, 20.92, 33.75, 21.11, 32.49, 25.39, 
##     27.99, 25.75, 27.37, 23.8, 27.12, 34.67, 33.89, 25.02, 26.75, 
##     32.32, 28.59, 26.57, 25.82, 22.81, 23.23, 31.57, 31.66, 29.87, 
##     28.59, 33, 28.21, 24.72, 34.97, 23.42, 29.16, 44.29, 37.5, 
##     27.37, 28.89, 41.68, 35.73, 31.01, 37.31, 23.57, 30.67, 29.98, 
##     30.17, 23.71, 28.97, 24.21, 24.13, 29.76, 50.18, 25.75, 28.35, 
##     29.43, 24.81, 38.52, 19.97, 34.67, 25.69, 35.26, 35, 28.7, 
##     28.45, 40, 30.62, 25.83, 26.37, 29.26, 27.28, 28.82, 22.67, 
##     23.69, 25.69, 33.86, 32.89, 29.86, 31.31, 19.08, 28.19, 21.26, 
##     26.39, 21.95, 29.26, 33.23, 29.13, 27.89, 41.61, 36.9, 31.01, 
##     24.22, 33.2, 31.32, 25.82, 33.72, 30.41, 24.69, 23.96, 24.68, 
##     26.54, 33.45, 23.81, 23.3, 22.81, 30.3, 28.89, 32.28, 21.26, 
##     20.08, 25.84, 32.12, 39.11, 28.7, 25.42, 25.77, 25.8, 35.24, 
##     30.34, 31.07, 22.4, 29.23, 49.89, 43.43, 24.51, 26.63, 24.21, 
##     30.54, 23.03, 24.37, 26.63, 25.8, 27.76, 25.75, 34.18, 40.69, 
##     36.02, 39.18, 27.26, 22.96, 29.05, 61.29, 27.99, 21.29, 33.96, 
##     30.12, 36.05, 39.16, 28.12, 35.51, 26.54, 34.01, 19.37, 27.47, 
##     31.53, 30.29, 31.45, 20.97, 35.78, 34.18, 28.97, 29.99, 29.03, 
##     35.26, 28.15, 38.28, 25.62, 27.89, 36.96, 30.13, 34.97, 27.82, 
##     30.41, 29.95, 28.89, 26.63, 26.58, 31.75, 21.83, 32.62, 41.6, 
##     30.85, 31.32, 25.04, 30.54, 29.26, 27.52, 33.28, 30.69, 31.71, 
##     30.21, 41.96, 28.35, 29.43, 36.92, 28.13, 23.67, 28.7, 25.39, 
##     19.25, 28.12, 22.81, 28.73, 43.28, 32.42, 25.77, 28.89, 23.69, 
##     39.68, 24.28, 20.22, 26.63, 25.85, 25.09, 29.18, 30.04, 24.37, 
##     29.86, 28.25, 30.11, 25.1, 23.71, 26.57, 22.43, 29.49, 43.22, 
##     33.09, 24.83, 36.29, 44.92, 31.57, 38.52, 31.19, 44.29, 33.01, 
##     23.96, 30.27, 31.57, 36.05, 53.43, 21.63, 49.78, 33.75, 25.55, 
##     29.16, 26.61, 27.99, 27.89, 25.84, 28.72, 42.91, 24.28, 25.1, 
##     30.81, 29.29, 25.61, 29.65, 32.1, 34.67, 28.06, 25.97, 21.63, 
##     38.01, 29.29, 21.41, 27.12, 20.94, 33.11, 42.86, 26.58, 33.45, 
##     26.5, 28.7, 24.8, 13.95, 24.03, 26.65, 31.57, 35.9, 28.19, 
##     24.37, 49.32, 34.7, 25.1, 34.86, 36.92, 42.83, 29.53, 35.87, 
##     32.11, 28.25, 23.03, 30.11, 29.65, 32.76, 30.81, 38.32, 28.8, 
##     38.27, 23.78, 27.1, 32.89, 20.8, 22.31, 32.49, 23.44, 41.99, 
##     25.07, 33.72, 30.67, 31.28, 28.9, 25.44, 45.61, 25.77, 23.96, 
##     35.74, 32.26, 26.83, 28.97, 23.42, 25.02, 28.35, 34.04, 35.07, 
##     19.79, 33.65, 23.17, 30.27, 47.2, 27.96, 35.26, 33.9, 30.67, 
##     21.38, 38.62, 24.51, 23.73, 27.12, 28.29, 20.6, 24.24, 32.28, 
##     26.29, 28.19, 24.21, 21.93, 32.28, 46.81, 43.05, 46.59, 19.31, 
##     25.51, 35.44, 30.18, 24.13, 25.22, 22.65, 28.29, 38.74, 27.12, 
##     31.25, 22.89, 45.93, 31.95, 33.83, 36.62, 34.5, 37.12, 30.81, 
##     35.8, 22.46, 26.54, 26.25, 22.89, 21.95, 25.06, 37.93, 31.93, 
##     40.89, 32.89, 25.78, 18.11, 21.91, 24.37, 37.59, 30.67, 23.62, 
##     28.89, 24.41, 20.8, 23.63, 29.86, 32.73, 25.51, 25.99, 32.28, 
##     36.58, 26.5, 28.06, 20.3, 26.66, 30.67, 33.47, 26.99, 31.96, 
##     24.56, 42.29, 30.68, 34.02, 32.08, 28.23, 24.41, 45.53, 32.1, 
##     25.84, 28.17, 32.44, 26.96, 19.67, 47.47, 33.47, 30.04, 34.33, 
##     28.66, 33.28, 35.74, 33.47, 30.68, 38.35, 22.38, 25.83, 26.95, 
##     31.66, 27.26, 28.89, 42.97, 40.69, 27.12, 18.29, 30.68, 20.6, 
##     25.31, 17.22, 17.72, 32.08, 25.23, 24.39, 34.44, 27.8, 25.06, 
##     22.81, 28.8, 26.57, 28.28, 29.03, 22.22, 36.62, 22.24, 32.89, 
##     30.27, 29.86, 26.39, 30.9, 34.44, 23.89, 31.97, 22.87, 22.56, 
##     23.75, 32.55, 27.63, 19.84, 31.38, 24.41, 35.3, 41.61, 43.85, 
##     34.19, 34.87, 24.39, 21.7, 32.73, 29.26, 27.46, 22.81, 29.99, 
##     28.75, 21.11, 35.43, 24.41, 32.89, 25.1, 24.81, 24.21, 24.91, 
##     22.15, 33.91, 27.44, 26.61, 33.91, 29.05, 45.66, 35.74, 29.29, 
##     32.92, 29.23, 33.91, 18.88, 21.31, 28.48, 24.9, 29.68, 19.49, 
##     15.17, 22.52, 27.34, 21.61, 32.28, 30.3, 23.44, 23.72, 29.18, 
##     30.13, 33.63, 27.93, 20.67, 23.63, 35.51, 27.12, 33.81, 24.13, 
##     27.12, 39.71, 23.24, 45.19, 27.88, 44.92, 25.85, 26.63, 29.12, 
##     24.03, 24.96, 24.27, 29.56, 28.73, 38.52, 22.74, 24.89, 43.16, 
##     39.86, 53.16, 23.91, 36.12, 30.67, 25.22, 29.52, 23.67, 30.13, 
##     30.29, 26.5, 27.37, 29.65, 30.19, 35.88, 22.35, 39.06, 31.41, 
##     43.05, 35.35, 30.56, 30.34, 27.32, 23.62, 21.93, 37.38, 26.39, 
##     27.32, 24.03, 27.12, 32.32, 25.42, 28.25, 40.09, 27.12, 46.11, 
##     30.99, 39.48, 18.75, 30.62, 33.07, 35.43, 25.82, 38.74, 29.65, 
##     37.56, 27.71, 33, 26.88, 36.62, 27.8, 30.68, 27.44, 35.51, 
##     19.05, 23.96, 47.85, 20.6, 41.09, 25.06, 38.74, 19.2, 31.93, 
##     27.82, 34.97, 35.95, 23.11, 23.57, 34.83, 31.64, 28.89, 16.6, 
##     27.98, 26.72, 25.68, 28.25, 20.36, 31.57, 28.19, 22.04, 28.06, 
##     29.44, 47.55, 30.04, 38.65, 34.41, 42.99, 27.26, 27.55, 25.07, 
##     34.46, 35.87, 24.96, 36.73, 27.41, 28.66, 25.84, 27.34, 24.28, 
##     30.68, 25.37, 26.63, 27.05, 28.89, 26.54, 42.57, 35.71, 24.14, 
##     34.7, 34.2, 33.23, 28.48, 30.79, 35.19, 29.84, 23.49, 27.44, 
##     21.87, 28.8, 35.06, 33.28, 26.57, 45.19, 25.06, 37.76, 30.54, 
##     24.11, 17.71, 27.8, 24.13, 32.69, 29.03, 20.22, 29.05, 32.49, 
##     25.77, 32.87, 29.69, 29.53, 26.58, 18.89, 22.6, 23.71, 37.56, 
##     22.08, 25.02, 24.24, 30.17, 27.37, 32.28, 31.93, 32.78, 22.96, 
##     37.59, 22.14, 39.62, 24.03, 26.5, 35.67, 24.96, 29.24, 26.63, 
##     29.86, 26.61, 33, 24.39, 30.41, 31.14, 28.48, 27.6, 32.78, 
##     17.54, 33.2, 27.89, 23.75, 19.37, 23.49, 40.35, 46.67, 20.92, 
##     33.45, 29.53, 25.37, 22.11, 44.87, 25.61, 31.75, 27.4, 23.75, 
##     32.41, 36.58, 31.75, 22.55, 18.32, 39.87, 25.06, 27.76, 23.63, 
##     29.05, 35.87, 33.63, 26.94, 25.63, 25.85, 27.98, 32.95, 30.79, 
##     30.27, 33.38, 26.39, 38.02, 28.7, 38.42, 32.6, 24.69, 26.61, 
##     27.76, 40.69, 32.49, 32.49, 29.65, 27.27, 38.16, 28.21, 22.81, 
##     36.62, 45.63, 28.59, 27.12, 31.82, 27.44, 38.27, 40.45, 18.88, 
##     27.26, 27.44, 44.29, 26.73, 24.33, 30.52, 26.61, 23.74, 33.89, 
##     17.36, 34.57, 24.03, 30.54, 22.14, 33.29, 30.13, 42.51, 29.44, 
##     30.11, 61.66, 36.26, 25.1, 23.65, 21.7, 40.32, 23.03, 27.12, 
##     31.93, 56.68, 23.49, 25.8, 29.05, 30.27, 28.27, 24.41, 32.01, 
##     26.78, 21.31, 33.96, 30.13, 22.81, 20.92, 33.13, 29.95, 27.93, 
##     20.83, 27.88, 23.65, 21.7, 24.07, 43.27, 23.41, 31.32, 24.54, 
##     21.52, 29.84, 26.15, 25.34, 45.2, 29.13, 26.22, 33.07, 16.95, 
##     25.84, 21.58, 27.89, 39.54, 32.48, 19.74, 36.61, 22.71, 33.89, 
##     31.38, 30.4, 32.76, 34.96, 30.99, 35.78, 36.58, 29.65, 24.41, 
##     28.06, 31.09, 25.34, 35.51, 16.31, 30.11, 25.75, 24.96, 32.69, 
##     25.19, 30.13, 27.37, 27.8, 24.39, 33.47, 20.51, 37.44, 25.06, 
##     25.39, 29.53, 20.98, 27.02, 20.67, 31.64, 29.8, 34.21, 28.21, 
##     28.7, 25.85, 25.84, 29.27, 28.32, 27.44, 23.63, 32.69, 24.41, 
##     26.58, 24.39, 23.89, 21.97, 39.58, 30.04, 21.31, 29.16, 25.06, 
##     25.77, 27.12, 24.21, 25.09, 29.29, 26.18, 23.63, 29.02, 29.21, 
##     61.03, 36.94, 30.42, 37.76, 37.3, 31.38, 28.32, 25.75, 34.48, 
##     24.33, 31.47, 29.05, 33.28, 24.54, 31.01, 31.62, 24.89, 35.73, 
##     20.36, 30.79, 31.19, 27.89, 37.31, 19.84, 27.26, 23.71, 32.96, 
##     25.33, 26.54, 25.85, 23.8, 29.53, 36.96, 27.98, 32.98, 26.69, 
##     21.35, 31.66, 28.8, 25.68, 27.46, 38.97, 31.53, 35.44, 31.32, 
##     31.75, 27.44, 33, 41.09, 26.94, 25.8, 25.4, 22.03, 30.13, 
##     27.44, 28.7, 40.78, 27.32, 41.2, 33.91, 26.99, 33.66, 35.67, 
##     37.5, 27.96, 25.71, 32.08, 30.85, 35.44, 24.9, 24.89, 24.56, 
##     23.41, 26.52, 24.96, 25, 26.61, 25.82, 24.07, 30.34, 22.68, 
##     27.78, 26.3, 27.8, 30.94, 29.53, 35.95, 30.85, 28.62, 48.47, 
##     28.19, 24.8, 44.09, 24.55, 26.26, 36.58, 28.84, 19.2, 26.39, 
##     20.5, 29.94, 29.03, 33.58, 23.06, 36.49, 32.37, 26.69, 21.97, 
##     34.97, 20.18, 43.6, 24.68, 36.02, 23.67, 31.87, 20.51, 32.55, 
##     50, 24.13, 27.98, 23.62, 36.26, 16.25, 36.05, 20.07, 25.79, 
##     26.63, 29.95, 22.6, 25.09, 27.7, 23.53, 28.13, 31, 28.8, 
##     30.67, 20.51, 24.24, 25.83, 26.45, 19.59, 28.13, 23.49, 26.31, 
##     35.26, 21.02, 26.63, 27.88, 16.14, 33.96, 21.3, 31.25, 22.46, 
##     29.53, 29.29, 29.99, 21.31, 30.72, 32.03, 22.6, 28.13, 24.33, 
##     20.6, 30.85, 17.85, 21.97, 30.23, 27.06, 41.35, 29.54, 30.99, 
##     25.82, 45.19, 26.58, 44.6, 32.54, 16.97, 33.47, 22.24, 23.37, 
##     23.18, 26.04, 27.05, 27.26, 25.63, 27.47, 30.41, 29.95, 48.66, 
##     31.28, 24.82, 28.89, 26.3, 40.35, 34.44, 31.09, 24.03, 34.21, 
##     29.43, 21.93, 30.13, 26.63, 32.78, 25.5, 41.84, 33.38, 30.25, 
##     25.77, 31.46, 32.32, 45.19, 27.89, 29.05, 24.41, 24.56, 23.13, 
##     35.51, 33.91, 32.91, 30.13, 35.26, 27.71, 23.06, 29.84, 35.9, 
##     26.79, 28.17, 19.84, 22.51, 28.46, 25.39, 28.25, 20.34, 31.52, 
##     28.89, 33.89, 22.92, 46.94, 28.89, 28.34, 34.67, 30.54, 34.14, 
##     31.66, 25.02, 42.33, 32.86, 24.22, 26.31, 24.33, 20.67, 24.28, 
##     26.58, 26.96, 24.41, 28.7, 26.45, 25.37, 24.95, 24.37, 26.37, 
##     27.32, 33.38, 23.43, 40.29, 24.83, 30.11, 36.18, 29.16, 33.09, 
##     22.81, 28.84, 31.75, 32.28, 35.51, 26.45, 24.41, 20.92, 37.66, 
##     23.78, 37.31, 23.01, 27.26, 32.76, 34.44, 33.59, 28.25, 24.33, 
##     25.1, 35.53, 36.59, 25.83, 18.33, 37.59, 24.25, 27.48, 45.33, 
##     26.58, 35.15, 27.44, 33.47, 29.04, 30.62, 34.93, 33.38, 28.31, 
##     28.19, 24.28, 32.61, 31.01, 36.49, 27.26, 27.46, 35.5, 27.37, 
##     25.56, 26.78, 28.06, 33.66, 27.44, 46.81, 37.76, 33.28, 33.33, 
##     31.75, 36.92, 21.79, 28.07, 22.5, 21.48, 31.32, 27.92, 35, 
##     28.89, 28.7, 28.7, 27.89, 30.68, 25.82, 23.72, 31.57, 23.63, 
##     24.13, 28.97, 28.5, 29.57, 29.29, 34.84, 38.26, 28.75, 29.65, 
##     27.44, 28.28, 27.12, 19.27, 31.09, 26.43, 25.06, 28.5, 23.49, 
##     24.96, 43.54, 21.8, 27.12, 30.82, 26.63, 25.77, 27.91, 22.46, 
##     25.11, 32.28, 27.89, 34.26, 28.25, 27.12, 32.92, 26.18, 27.71, 
##     27.46, 34.46, 24.14, 49.38, 54.82, 40.75, 36.02, 25.79, 33.47, 
##     22.45, 35.78, 26.58, 28.28, 22.38, 25.84, 27.34, 28.41, 27.12, 
##     29.95, 29.27, 21.62, 24.39, 32.95, 27.37, 19.84, 25.06, 24.13, 
##     21.79, 36.9, 32.36, 29.76, 36.18, 22.89, 36.52, 41.5, 37.8, 
##     25.5, 28.34, 33.45, 42.43, 27.76, 48.15, 32.46, 34.7, 25.16, 
##     31.89, 23.01, 36.73, 39.48, 21.41, 29.05, 22.86, 27.27, 25.68, 
##     31.25, 19.97, 27.22, 28.89, 25.99, 23.01, 26.58, 33.96, 28.89, 
##     34.95, 24.8, 24.28, 39.65, 33.64, 36.12, 31.09, 31.57, 29.76, 
##     41.6, 31.8, 29.65, 32.78, 35.26, 35.95, 38.39, 21.16, 23.67, 
##     30, 27.32, 30.34, 28.73, 29.68, 43.05, 37.44, 27.62, 19.97, 
##     27.41, 19.57, 28.25, 22.31, 31, 19.37, 31.89, 30.99, 31.89, 
##     31.66, 23.72, 29.53, 30.51, 30, 27.63, 27.46, 22.81, 34.33, 
##     22.71, 24.96, 35.51, 27.89, 29.5, 33.15, 35.73, 26, 30.13, 
##     21.63, 28.48, 28.25, 29.53, 21.8, 23.63, 27.39, 34.44, 26.37, 
##     25.77, 33.38, 31.52, 29.26, 36.81, 23.49, 18.79, 22.96, 32.28, 
##     29.23, 30.04, 33.96, 20.36, 20.98, 30.85, 34.01, 25.06, 27.37, 
##     20.8, 27.12, 25.66, 27.96, 30.54, 19.49, 20.67, 23.5, 23.4, 
##     32.55, 41.84, 27.47, 22.38, 27.26, 27.46, 23.05, 36.61, 35.87, 
##     26.07, 23.63, 21.46, 40.35, 27.89, 26.87, 24.75, 37.86, 27.46, 
##     29.79, 28.53, 30.24, 33.28, 31.93, 35.74, 25.83, 28.48, 28.31, 
##     18.09, 22.14, 35.44, 33.01, 49.5, 34.19, 40.34, 25.09, 39.05, 
##     17.16, 36.61, 25.99, 23.01, 21.11, 22.24, 41.64, 29.76, 25.61, 
##     26.61, 25.5, 30.05, 32.55, 33.72, 31.17, 34.26, 26.58, 27.4, 
##     38.74, 20.67, 25.54, 25.13, 30.41, 22.4, 24.39, 25.85, 37.11, 
##     37.31, 29.41, 20.8, 26.36, 30.72, 21.61, 28.15, 24.13, 22.31, 
##     21.79, 28.57, 29.16, 27.22, 24.37, 32.28, 20.36, 40.24, 25.73, 
##     39.06, 25.13, 36.61, 30.11, 28.7, 18.79, 24.78, 30.62, 27.46, 
##     29.58, 26.5, 23.05, 35.19, 35.78, 34.44, 24.8, 50.5, 25.85, 
##     26.61, 30.96, 33.2, 24.13, 25.8, 30.41, 25.77, 34.44, 31.41, 
##     25.82, 25.11, 41.57, 36.59, 31.87, 23.01, 35.15, 23.43, 23.63, 
##     27.12, 31.28, 36.96, 38.79, 31.48, 21.41, 32.49, 28.17, 23.02, 
##     35.44, 40.74, 32.95, 25.42, 23.72, 31.18, 26.45, 26.85, 35.44, 
##     35.4, 33.47, 20.19, 24.39, 39.06, 35.87, 28.89, 25.83, 32.55, 
##     37.79, 20.68, 19.97, 25.61, 24.8, 23.88, 25.83, 26.78, 17.98, 
##     26.63, 31.09, 28.75, 37.31, 35.61, 27.12, 33.96, 29.79, 30.62, 
##     24.69, 29.76, 24.41, 27.89, 35.73, 34.18, 19.88, 39.54, 26, 
##     43.05, 26.09, 27.41, 31.25, 21.37, 27.98, 24.41, 26.57, 26.45, 
##     23.91, 37.16, 26.32, 40.18, 26.58, 41.05, 30.23, 37.66, 22.81, 
##     18.88, 51.65, 31, 26.63, 22.47, 29.41, 32.89, 26.36, 36.39, 
##     23.63, 27.41, 48.42, 47.26, 31.75, 39.37, 26.58, 24.37, 29.23, 
##     25.85, 29.84, 35.9, 21.28, 30, 33.82, 27.89, 33.37, 30.86, 
##     21.29, 24.25, 24.39, 33.59, 23.48, 25.84, 33.28, 35.43, 25.1, 
##     24.21, 25.23, 20.3, 31.32, 35.26, 31.01, 25.54, 21.46, 21.46, 
##     32.28, 31.09, 27.44, 32.79, 25.84, 25.38, 26.91, 22.31, 26.57, 
##     25.84, 31.87, 28.59, 29.68, 38.01, 28.89, 43.9, 25.06, 28.63, 
##     22.11, 26.61, 28.7, 41.61, 37.12, 32.92, 31.47, 37.2, 23.11, 
##     32.92, 27.44, 23.01, 30.56, 26.99, 35.9, 24.96, 31.58, 23.99, 
##     33.45, 24.39, 25.46, 34.46, 28.12, 22.66, 23.78, 36.02, 28.25, 
##     24.28, 25.78, 31.32, 26.95, 22.96, 27.12, 27.8, 34.58, 28.89, 
##     30.85, 30.81, 29.29, 27.98, 28.32, 41.35, 24.21, 29.65, 29.29, 
##     28.29, 30.11, 18.79, 31.87, 26.37, 42.12, 24.13, 26.45, 26.39, 
##     24.66, 26.25, 23.89, 26.17, 26.63, 35.62, 25.15, 26.63, 29.03, 
##     28.97, 23.67, 27.12, 24.14, 32.28, 22.18, 27.46, 31.38, 34.73, 
##     22.71, 35.43, 25.06, 24.13, 21.79, 21.46, 28.59, 32.23, 43.24, 
##     22.13, 25.73, 27.53, 37.12, 24.03, 27.61, 27.12, 27.44, 31.28, 
##     30.51, 30.79, 29.29, 39.13, 28.06, 28.5, 36.26, 27.27, 25.82, 
##     24.11, 38.74, 27.44, 36.59, 30.79, 37.66, 26.61, 37.12, 30.41, 
##     24.03, 30.67, 29.53, 19.53, 29.26, 36.41, 24.21, 27.88, 36.9, 
##     28.25, 25.69, 28.34, 24.03, 28.8, 27.37, 31.66, 25.11, 26.58, 
##     29.38, 26.94, 29.83, 21.57, 38.35, 34.7, 25.23, 32.32, 29.84, 
##     37.69, 27.46, 32.49, 23.71, 29.84, 35.15, 30.11, 35.95, 28.7, 
##     23.81, 23.44, 30.85, 30.41, 36.61, 42.83, 27.89, 26.54, 24.68, 
##     23.06, 23.39, 30.68, 44.63, 39.16, 29.99, 33.91, 32.28, 23.63, 
##     34.97, 31.62, 25.69, 19.58, 40.69, 27.46, 40.46, 26.08, 38.77, 
##     29.7, 25.09, 24.37, 40.51, 30.68, 27.46, 31.93, 25.1, 49.38, 
##     20.67, 32.61, 18.79, 26.83, 24.37, 47.55, 32.08, 29.24, 26.97, 
##     25.5, 29.29, 25.85, 18.26, 28.89, 29.69, 38.35, 32.96, 44.08, 
##     22.96, 25.8, 26.58, 36.05, 22.81, 27.46, 16.28, 32.89, 23.59, 
##     31.47, 27.12, 31.89, 20.37, 37.59, 30.29, 30.34, 29.29, 27.12, 
##     37.79, 26.85, 31.85, 26.57, 38.39, 26.97, 24.89, 32.27, 33.96, 
##     20.37, 29.53, 35.56, 31.45, 26.5, 31.38, 30.45, 48.82, 31.75, 
##     30.68, 27.44, 23.43, 34.44, 21.51, 31.17, 17.47, 27.89, 27.06, 
##     25.09, 29.29, 18.55, 30.79, 19.8, 24.69, 34.96, 48.26, 18.99, 
##     24.59, 23.63, 27.34, 40.13, 31.25, 27.06, 37.9, 26.11, 33.28, 
##     26.63, 27.89, 22.67, 27.26, 29.53, 33.2, 25.86, 33.13, 25.13, 
##     41.63, 31.75, 32.78, 33.38, 24.41, 29.29, 25.06, 26.54, 22.71, 
##     35.12, 28.25, 22.67, 29.05, 26.57, 41.05, 25.85, 31, 33.38, 
##     31.57, 28.41, 20.67, 20.99, 25.11, 28.8, 31.47, 20.41, 39.48, 
##     21.41, 30.69, 49.24, 31.57, 33.2, 26.06, 24.83, 29.29, 25.8, 
##     25.66, 23.73, 33.09, 28.7, 32.1, 34.44, 32.22, 32.5, 25.07, 
##     28.34, 23.63, 31.93, 33.47, 25.75, 24.45, 38.65, 22.67, 21.3, 
##     27.12, 23.91, 28.76, 29.26, 29.15, 41.96, 32.28, 32.92, 28.89, 
##     27.41, 24.21, 31.38, 24.37, 29.53, 27.12, 27.12, 41.05, 38.02, 
##     35.54, 24.83, 23.53, 29.24, 25.06, 29.29, 37.59, 25.79, 27.41, 
##     39.86, 35.53, 26.63, 21.52, 24.33, 28.25, 20.45, 21.46, 32.77, 
##     33.23, 34.02, 21.52, 39.75, 50, 28.89, 22.96, 30.81, 33.25, 
##     30.27, 34.46, 35.43, 25.65, 22.31, 24.39, 20.12, 37.79, 31.32, 
##     28.48, 37.69, 24.37, 35.24, 22.21, 31.14, 20.34, 29.83, 22.81, 
##     31.57, 29.84, 28.45, 21.14, 27.44, 25.13, 19.49, 25.69, 29.56, 
##     28.17, 25.77, 26.95, 24.21, 23.09, 30.51, 21.79, 29.05, 21.54, 
##     28.41, 19.94, 29.65, 36.12, 25.06, 29.29, 17.58, 26.95, 23.02, 
##     36.61, 42.14, 27.12, 25.84, 25.69, 29.12, 28.34, 29.14, 33.66, 
##     30.9, 29.03, 34.77, 24.14, 29.37, 27.46, 30.85, 22.89, 38.17, 
##     29.84, 33.11, 38.02, 31.38, 36.26, 21.11, 35.55, 39.48, 34.67, 
##     19.2, 27.15, 26.4, 27.89, 25.4, 23.56, 40.89, 26.52, 27.8, 
##     33.45, 35.9, 19.53, 25.06, 31.89, 33.05, 21.24, 30.11, 31.18, 
##     34.44, 36.49, 41.6, 27.12, 28.8, 25.24, 27.41, 29.29, 32.89, 
##     29.84, 29.84, 34.46, 23.8, 17.15, 25.29, 26.63, 27.72, 30.29, 
##     28.34, 23.03, 25.82, 23.34, 29.53, 30.67, 25.54, 30.99, 23.78, 
##     27.12, 33.05, 20.8, 24.53, 28.13, 30.11, 18.13, 21.62, 21.29, 
##     25.68, 25.4, 33.23, 32.08, 29.29, 30.04, 34.67, 28.29, 38.45, 
##     35.35, 25.89, 39.53, 22.27, 25.84, 35.44, 22.38, 30.45, 34.33, 
##     22.69, 29.86, 35.55, 31.87, 28.53, 33.47, 29.69, 31.57, 47.06, 
##     24.21, 24.33, 30.13, 32.89, 36.9, 33.47, 28.25, 29.86, 25.06, 
##     26.34, 35.61, 53.14, 44.63, 35.44, 27.4, 21.09, 28.34, 22.6, 
##     36.18, 26.91, 27.12, 38.41, 23.11, 24.33, 30.41, 26.4, 32.08, 
##     24.21, 26.61, 26.63, 40.18, 33.2, 23.09, 30.72, 24.41, 27.12, 
##     31.87, 33.13, 29.15, 36.62, 28.89, 22.15, 29.86, 25.84, 23.91, 
##     25.83, 30.41, 31.31, 15.41, 41.44, 41.96, 30.45, 23.71, 19.67, 
##     33.2, 30.42, 19.66, 22.05, 28.8, 28.5, 43.54, 28.75, 24.02, 
##     30.27, 30.41, 22.1, 44.71, 31.18, 26.58, 32.98, 21.26, 31.32, 
##     37.31, 25.23, 42.98, 31.19, 36.96, 24.41, 30.21, 35.15, 28.19, 
##     24.34, 42.07, 22.71, 48.2, 25.06, 31.57, 35.87, 26, 55.78, 
##     23.63, 25.83, 24.69, 29.21, 20.98, 45.42, 47.99, 22.73, 27.02, 
##     32.57, 22.31, 24.56, 30.41, 27.89, 39.48, 25.5, 38.25, 24.8, 
##     29.55, 33.84, 26.39, 49.91, 29.12, 24.97, 33.07, 19.49, 38.77, 
##     23.08, 26.88, 33.45, 32.28, 32.92, 26.29, 30.34, 26.57, 26.63, 
##     29.84, 22.69, 32.04, 27.02, 32.28, 29.18, 40.01, 31.93, 21.63, 
##     25.11, 29.37, 24.87, 26.5, 30.41, 35.28, 38.39, 28.19, 31.19, 
##     35.15, 42.07, 34.67, 30.81, 20.9, 30.7, 33.99, 28.25, 31.1, 
##     24.33, 27.44, 32.45, 25.11, 30.29, 31.38, 46.87, 25.54, 26.18, 
##     25.84, 32.14, 27.99, 22.81, 25.02, 31.48, 22.24, 31.09, 34.44, 
##     31.32, 27.05, 61.08, 34.87, 29.18, 32.5, 25.1, 19.05, 27.81, 
##     31.32, 31.32, 39.46, 32.92, 45.35, 29.29, 26.58, 18.99, 54.25, 
##     31.66, 32.01, 25.85, 36.89, 21.95, 29.68, 23.71, 46.34, 34.44, 
##     30.56, 23.91, 29.29, 34.97, 24.46, 23.91, 26.85, 23.01, 25.77, 
##     32.5, 45.48, 25.83, 35.94, 25.23, 27.2, 26.5, 16.46, 19.85, 
##     30.11, 31.01, 35.18, 32.12, 27.67, 31.18, 33.91, 27.17, 28.75, 
##     34.21, 18.66, 30.52, 27.8, 31.38, 31.57, 34.3, 35.26, 26.61, 
##     34.3, 26.95, 36.59, 30.81, 34.95, 28.7, 31.25, 29.63, 35.02, 
##     28.72, 53.7, 27.2, 24.3, 35.24, 22.46, 41.1, 44.86, 31.04, 
##     26.63, 27.12, 35.71, 30.9, 31.93, 28.29, 27.71, 30.04, 31.46, 
##     29.85, 30.34, 24.21, 28.7, 31.18, 26.63, 27.69, 25.51, 23.49, 
##     28.89, 28.19, 33.87, 22.43, 16.73, 38.37, 28.28, 26.47, 24.39, 
##     34.44, 26.57, 22.05, 23.49, 27.67, 46.34, 33.72, 16.82, 23.49, 
##     39.8, 35.62, 23.01, 29.29, 23.67, 22.27, 25.4, 32.28, 29.29, 
##     24.53, 37.66, 30.79, 26.31, 28.13, 30.61, 22.48, 30.9, 30.57, 
##     37.59, 40.69, 32.89, 23.24, 32.77, 20.85, 25.54, 32.32, 28.35, 
##     26.63, 20.41, 34.87, 23.73, 36.79, 27.26, 24.37, 22.6, 39.65, 
##     30.04, 25.86, 36.05, 39.33, 25.1, 26.26, 25.1, 28.34, 23.73, 
##     30.23, 25.83, 23.71, 30.81, 28.73, 36.13, 25.18, 26.52, 33.91, 
##     26, 30.13, 25.5, 24.97, 39.86, 40.35, 17.68, 26.5, 35.78, 
##     27.79, 28.29, 26.22, 26.78, 22.45, 20.22, 26.63, 26.96, 36.28, 
##     23.24, 33.96, 41.93, 39.48, 25.5, 27.37, 30.51, 33.96, 29.26, 
##     27.44, 26.58, 24.78, 26.96, 26.45, 32.72, 24.89, 29.84, 29.95, 
##     29.95, 25.29, 21.7, 27.89, 25.77, 29.53, 32.89, 28.7, 24.61, 
##     27.68, 14.88, 28.49, 30.85, 26.58, 36.28, 31.09, 33.52, 34.46, 
##     26.78, 18.88, 33.72, 27.46, 25.84, 33.23, 25.06, 26.36, 21.87, 
##     27.8, 27.37, 28.25, 26.52, 29.05, 31.19, 34.46, 25.77, 22.57, 
##     34.97, 26.45, 30.67, 26.63, 23.42, 41, 27.46, 25.1, 23.6, 
##     25.77, 23.96, 33.84, 26.61, 39.94, 24.39, 31.46, 31.19, 31.62, 
##     53.72, 29.65, 38.01, 36.28, 36.49, 27.94, 16.73, 25.83, 35.48, 
##     25.75, 28.06, 18.79, 29.01, 26.19, 31.14, 26.5, 27.37, 28.19, 
##     24.33, 28.34, 20.8, 27.34, 25.09, 27.2, 26.5, 25.96, 23.17, 
##     25.61, 18.6, 24.28, 27.07, 28.7, 34.08, 27.41, 26.37, 30.85, 
##     27.6, 36.02, 33.75, 29.84, 28.32, 31.19, 36.89, 25.61, 23.3, 
##     26.5, 23.78, 25.85, 31.57, 28.8, 24.41, 31.75, 27.89, 58.54, 
##     40.35, 39.31, 27.75, 34.46, 37.66, 30.52, 29.05, 30.11, 23.48, 
##     23.4, 30.41, 28.43, 27.89, 34.95, 48.78, 30.7, 34.95, 47.47, 
##     29.76, 32.89, 18.65, 34.21, 26.37, 27.46, 40.74, 25.11, 24.21, 
##     22.46, 29.65, 29.43, 40.35, 25.68, 31.62, 35.44, 26.58, 19.97, 
##     25.11, 30.67, 26.7, 38.67, 25.09, 32.62, 30.79, 22.92, 17.94, 
##     25.68, 23.49, 26.45, 29.53, 28.8, 29.18, 29.65, 35.94, 28.35, 
##     24.37, 31.8, 32.11, 51.19, 30.13, 26.5, 24.13, 41.05, 26.91, 
##     28.25, 29.53, 26.26, 33.84, 18.07, 38.65, 20.78, 25.1, 38.62, 
##     23.52, 28.8, 25.06, 28.59, 29.12, 35.57, 31.93, 21.93, 28.43, 
##     33.73, 22.59, 20.97, 32.12, 25.11, 39.05, 19.37, 21.97, 24.41, 
##     22.15, 29.84, 32.28, 40.18, 28, 43.16, 32.28, 28.29, 28.34, 
##     26.54, 26.45, 22.5, 39.94, 19.14, 24.12, 19.91, 36.61, 29.03, 
##     26.5, 24.33, 41.05, 36.81, 26.5, 22.78, 28.98, 25.39, 23.44, 
##     20.92, 36.85, 31.05, 35.87, 32.28, 35.83, 43.6, 23.09, 42.83, 
##     67.31, 31, 33.91, 27.71, 27.32, 26.32, 30.13, 21.02, 39.14, 
##     32.49, 24.11, 26.15, 22.46, 71.27, 24.89, 26.91, 22.11, 23.56, 
##     32.71, 25.04, 27.8, 29.05, 40.45, 24.2, 39.07, 29.03, 24.69, 
##     31.58, 34.44, 29.84, 23.34, 39.16, 27.26, 26.22, 18.94, 33.28, 
##     28.7, 32.08, 30.56, 31.09, 27.44, 28.9, 29.53, 35.19, 32.61, 
##     29.24, 38.32, 26.63, 29.09, 25.8, 30.41, 29.05, 27.37, 47.35, 
##     22.14, 41.56, 41.84, 32.22, 34.87, 42.48, 32.28, 33, 38.74, 
##     18.52, 24.48, 30.23, 23.48, 30.42, 24.41, 33.23, 41.2, 31.16, 
##     49.26, 14.84, 25.1, 24.68, 20.22, 29.28, 25.11, 20.05, 32.52, 
##     25.8, 27.26, 23.06, 41.81, 28.89, 43.07, 26.58, 23.44, 29.18, 
##     30.11, 33.07, 21.79, 28.8, 29.24, 25.07, 26.47, 34.44, 28.19, 
##     25.63, 28.97, 35.58, 32.98, 33.45, 29.66, 25.83, 26.32, 44.63, 
##     25.84, 38.27, 37.93, 25.68, 23.73, 27.46, 29.99, 25.7, 23.78, 
##     19.14, 30.11, 25.09, 22.6, 30.65, 32.62, 30.07, 41.3, 24.78, 
##     26.58, 34.29, 26.78, 49.37, 27.32, 23.96, 25.77, 43.4, 39.48, 
##     19.19, 28.12, 30.68, 20.45, 26.52, 29.18, 31.32, 27.06, 28.48, 
##     23.75, 25.1, 21.52, 24.63, 39.99, 27.44, 32.69, 26.52, 38.35, 
##     25.84, 21.11, 25.52, 28.13, 34.51, 29.53, 29.29, 26.87, 25.02, 
##     28.48, 35.95, 29.84, 17.23, 35.26, 23.3, 23.11, 25.07, 27.71, 
##     29.53, 27.89, 38.74, 33.96, 23.8, 46.81, 46.87, 20.98, 21.79, 
##     50.3, 25.1, 27.1, 30.81, 20.37, 29.18, 27.44, 43.4, 23.06, 
##     29.79, 28.68, 38.27, 19.12, 43.82, 28.89, 17.58, 34.01, 45.61, 
##     34.95, 32.24, 28.13, 33.37, 23.41, 42.72, 18.83, 26.57, 25.75, 
##     18.62, 27.06, 42.43, 25.77, 25, 29.8, 30.68, 27.26, 33.09, 
##     26.85, 28.34, 27.26, 52, 31.75, 26.26, 25.1, 25.9, 27.84, 
##     27.76, 24.03, 26.61, 56.12, 23.11, 23.63, 28.7, 79.41, 20.22, 
##     28.89, 25.77, 37.31, 33.28, 25.11, 30.79, 27.97, 49.37, 15.94, 
##     32.87, 31.66, 32.28, 31.38, 27.12, 25.82, 22.32, 25.84, 24.21, 
##     26.33, 32.08, 20.22, 34.11, 24.39, 23.24, 30.86, 18.6, 24.96, 
##     31.66, 25.1, 48.78, 30.41, 32.42, 28.19, 20.81, 27.89, 27.44, 
##     27.57, 27.64, 45.19, 36.58, 47.74, 34.78, 23.73, 28.62, 40.35, 
##     31.17, 25.51, 29.01, 33.91, 33.95, 21.29, 28.35, 27.29, 41.56, 
##     38.27, 24.68, 31.19, 24.41, 30.11, 25.85, 26.7, 17.58, 27.8, 
##     33.5, 32.92, 18.37, 34.9, 22.47, 29.53, 19.65, 33.52, 27.37, 
##     32.1, 45.19, 30.9, 23.73, 25.84, 24.24, 33.2, 40.18, 30.52, 
##     21.18, 26.54, 25.77, 24.33, 29.86, 25.1, 33.96, 44.94, 35.15, 
##     37.25, 26.83, 24.63, 33.23, 31.14, 28.06, 24.37, 39.69, 16.97, 
##     34.17, 40.14, 41.57, 33.91, 18.65, 19.05, 30.57, 30.66, 30.3, 
##     25.69, 38.09, 26.63, 30.27, 44.76, 30.34, 32.55, 27.46, 23.03, 
##     35.87, 26.5, 29.6, 26.45, 27.37, 24.37, 27.17, 27.67, 29.03, 
##     28.19, 24.37, 32.49, 29.16, 36.18, 25.7, 37.3, 31.31, 24.03, 
##     28.13, 29.88, 50.98, 30.65, 26.58, 32.71, 31.57, 18.83, 22.76, 
##     29.24, 26.61, 30.18, 25.85, 34.18, 27.2, 37.4, 25.99, 23.3, 
##     30.41, 31.38, 16.24, 24.96, 32.49, 30.68, 34.01, 25.09, 30.81, 
##     23.78, 27.46, 29.7, 20.67, 34.7, 30.13, 50.84, 24.41, 27.26, 
##     34.3, 30.52, 19.2, 18.18, 34.02, 15.36, 27.46, 34.33, 25.11, 
##     20.53, 26.07, 39.48, 27.67, 20.3, 39.46, 36.49, 48.75, 34.46, 
##     14.14, 25.1, 20.55, 28.06, 32.26, 26.96, 37.97, 31.25, 27.2, 
##     23.63, 25.84, 32.69, 33.66, 22.81, 23.83, 26.57, 26.54, 42.07, 
##     34.01, 26.75, 29.76, 30.62, 24.13, 19.02, 27.46, 28.51, 27.44, 
##     24.37, 41.37, 28.25, 27.37, 25.83, 26.61, 30.81, 23.78, 48.42, 
##     26.46, 28.13, 33.2, 23.63, 45.93, 21.26, 37.3, 28.48, 26.26, 
##     25.85, 33.07, 31.89, 35.02, 21.46, 23.75, 41.64, 27.72, 24.62, 
##     31.66, 29.05, 36.26, 25.69, 25.07, 32.28, 23.8, 40.79, 33.91, 
##     39.03, 26.78, 33.91, 36.49, 21.93, 36.02, 22.6, 36.96, 22.26, 
##     29.56, 32.08, 24.21, 24.14, 37.97, 23.39, 17.89, 30.56, 33.28, 
##     40.35, 28.7, 35.09, 31.48, 28.13, 36.36, 20.36, 42.91, 24.75, 
##     22.45, 29.23, 28.15, 27.17, 30.51, 28.59, 33.67, 31.85, 39.33, 
##     28.94, 24.21, 32.1, 28.25, 34.93, 25.8, 26.31, 24.28, 25.1, 
##     30.41, 27.12, 41.2, 33.75, 39.05, 22.31, 23.71, 29.03, 25.82, 
##     22.31, 34.39, 31.75, 30.85, 36.18, 32.03, 28.08, 30.52, 22.32, 
##     20.34, 25.7, 39.46, 34.21, 29.95, 25.85, 28.19, 20.92, 20.36, 
##     25.11, 29.29, 57.02, 20.6, 29.53, 29.41, 24.95, 20.25, 22.13, 
##     25.75, 29.53, 25.1, 29.16, 38.74, 24.37, 26.54, 31.66, 37.59, 
##     16.74, 23.73, 20.98, 29.95, 20.98, 35.98, 18.48, 25.85, 25.4, 
##     32.6, 36.92, 32.74, 24.13, 32.32, 28.7, 27.46, 33, 23.78, 
##     22.3, 24.8, 31.24, 44.43, 32.95, 29.95, 23.4, 34.44, 29.08, 
##     27.46, 26.91, 31.25, 29.02, 26.5, 24.28, 34.02, 37.79, 31.17, 
##     28.06, 19.77, 37.59, 28.13, 24.8, 30.86, 34.45, 24.41, 29.87, 
##     32.1, 28.7, 29.53, 22.96, 27.12, 30.72, 30.34, 45.19, 23.63, 
##     28.48, 31.25, 22.11, 24.41, 27.94, 26.57, 22.71, 36.61, 32.61, 
##     23.43, 29.41, 26.46, 27.12, 36.58, 33.47, 24.41, 23.43, 41.6, 
##     23.57, 27.1, 25.63, 32.08, 30.68, 25.82, 24.37, 34.37, 36.9, 
##     36.09, 19.53, 28.13, 21.97, 20.34, 27.71, 16.62, 21.79, 30.81, 
##     34.44, 37.9, 31.19, 28.19, 30.79, 34.7, 25.53, 27.26, 28.06, 
##     25.84, 27.46, 42.57, 21.14, 21.95, 31.28, 24.96, 26.45, 21.29, 
##     30.54, 22.46, 34.21, 38.01, 20.34, 27.44, 35.87, 26.76, 23.43, 
##     21.95, 36.84, 42.41, 28.06, 32.55, 27.1, 27.61, 36.81, 26.11, 
##     30.41, 26.22, 21.86, 28.25, 26.63, 33.54, 25.8, 27.46, 21.79, 
##     32.98, 24.13, 41.96, 31.8, 19.84, 29.12, 22.96, 31.57, 22.24, 
##     24.37, 34.44, 25.82, 23.78, 29.95, 49.57, 30.85, 24.33, 24.39, 
##     34.75, 27.17, 25.09, 19.46, 18.65, 28, 36.26, 20.12, 24.37, 
##     25.09, 32.32, 20.09, 30.68, 36.92, 19.23, 35.33, 30.56, 33.96, 
##     23.67, 27.99, 26.56, 38.01, 25.79, 29.15, 29.53, 27.44, 30.41, 
##     23.73, 33.1, 28.82, 39.33, 33.45, 40.01, 27.28, 23.71, 28.32, 
##     27.12, 44.3, 25.1, 32.89, 26.32, 29.99, 30.13, 40.69, 18.4, 
##     28.89, 20.63, 28.73, 28.48, 22.65, 29.26, 25.1, 32.55, 37.31, 
##     35.31, 20.6, 29.05, 29.18, 28.29, 38.74, 31.57, 23.62, 49.43, 
##     33.25, 27.44, 25.8, 26.57, 21.79, 32.61, 27.05, 24.39, 32.43, 
##     25.24, 33.75, 25.07, 32.5, 34.15, 37.97, 43.77, 26.96, 28.73, 
##     26.54, 28.13, 23.73, 33.2, 32.32, 48.82, 19.92, 27.8, 32.92, 
##     31.31, 24.96, 29.03, 64.24, 25.09, 39.16, 26.68, 33.91, 42.29, 
##     59.52, 49.09, 26.26, 21.7, 24.82, 19.37, 25.84, 41.05, 25.82, 
##     26.58, 21.09, 36.14, 25.85, 27.73, 36.58, 29.99, 19.49, 23.17, 
##     25.09, 30.9, 24.39, 24.21, 62.7, 36.72, 31.09, 37.88, 17.64, 
##     25.39, 27.12, 31.57, 22.89, 27.8, 23.24, 28.89, 27.44, 23.29, 
##     28.48, 32.28, 23.49, 30.52, 27.67, 23.78, 18.56, 19.58, 29.68, 
##     32.92, 17.63, 35.35, 24.39, 27.88, 36.92, 31.17, 25.77, 39.68, 
##     31.09, 25.15, 21.62, 27.46, 25.84, 36.58, 21.95, 21.71, 22.71, 
##     29.16, 45.16, 21.52, 23.05, 26.31, 32.95, 23.3, 34.33, 46.32, 
##     19.67, 35.44, 42.57, 36.05, 30.67, 29.03, 39.46, 25.07, 28.29, 
##     41.04, 24.02, 20.12, 23.69, 32.04, 27.62, 23.49, 25.4, 25.06, 
##     34.21, 26.61, 25.82, 27.5, 22.48, 24.63, 40.03, 39.46, 32.19, 
##     39.6, 23.49, 25.82, 29.98, 21.32, 29.16, 25.79, 22.14, 39.32, 
##     32.61, 27.46, 32.28, 21.68, 22.49, 33.58, 28.29, 22.46, 35.24, 
##     42.29, 30.62, 42.5, 25.09, 25.68, 29.84, 30.13, 29.53, 23.06, 
##     31.93, 33.67, 30.81, 18.95, 32.36, 35.56, 18.88, 43.4, 25.06, 
##     41.35, 26.39, 32.69, 25.51, 29.16, 24.41, 25, 21.83, 27.46, 
##     41.6, 27.32, 27.26, 46.99, 23.96, 42.51, 37.93, 28.8, 30.41, 
##     21.93, 37.5, 31.19, 26.4, 27.06, 46.5, 27.4, 24.33, 25.61, 
##     38.35, 39.58, 24.21, 27.98, 22.11, 45.11, 26.58, 27.12, 24.8, 
##     27.46, 23.78, 26.4, 27.26, 30.86, 25.1, 20.8, 21.79, 33.2, 
##     36.31, 26.54, 31.18, 31.75, 39.33, 27.89, 34.46, 37.31, 28.98, 
##     23.67, 24.22, 20.6, 29.26, 29.29, 27.8, 25.1, 30.68, 31.8, 
##     28.84, 28.12, 29.23, 27.69, 26.58, 20.12, 29.21, 34.08, 28.25, 
##     23.03, 26.93, 25.4, 27.52, 29.76, 26.52, 29.84, 31.32, 25.75, 
##     28.25, 19.57, 30.34, 27.81, 32.28, 28.7, 23.62, 25.77, 27.29, 
##     29.16, 33.91, 28.12, 24.69, 25.53, 29.05, 22.82, 24.03, 29.86, 
##     22.43, 27.2, 26.5, 30.9, 29.47, 30.07, 32.01, 26.31, 31, 
##     20.36, 28.06, 44.1, 25.79, 32.08, 32.61, 26.69, 29.29, 22.46, 
##     27.89, 44.8, 31.19, 29.94, 23.67, 28.97, 26.61, 38.27, 26.79, 
##     27.37, 17.59, 27.26, 27.67, 35.24, 32.28, 26.39, 33.96, 20.22, 
##     20.18, 25.56, 33.32, 24.8, 28.35, 37.71, 26.45, 33.09, 26.58, 
##     23.67, 22.31, 25.23, 29.53, 28.06, 39.71, 37.59, 33.65, 39.5, 
##     29.53, 26.58, 32.36, 27.26, 30.41, 25.63, 27.02, 28.89, 25.82, 
##     30.38, 29.86, 21.95, 31.19, 51.33, 29.53, 38.97, 26.52, 34.57, 
##     26.78, 27.54, 23.49, 21.93, 28.17, 26.4, 25.97, 42.6, 24.41, 
##     35.87, 30.54, 23.49, 24.13, 23.89, 44.1, 28.34, 31.83, 22.31, 
##     31.93, 32.76, 25.09, 38.08, 30.17, 32.08, 24.11, 28.06, 31.62, 
##     37.97, 24.41, 19.51, 25.75, 30.23, 30.11, 26.61, 26.57, 28.28, 
##     33.67, 37.76, 33.72, 29.18, 27.22, 26.61, 23.49, 42.98, 40, 
##     38.02, 36.96, 20.08, 36.67, 28.98, 36.92, 37.2, 35.24, 31.01, 
##     30.79, 27.6, 24.87, 28.89, 24.96, 32.92, 34.46, 27.89, 34.95, 
##     51.68, 27.06, 25.85, 36.49, 23.22, 31.28, 28.65, 24.21, 20.98, 
##     26.94, 16.46, 25.85, 36.26, 30.41, 31.93, 22.4, 32.1, 30.9, 
##     32.98, 27.89, 32.96, 42.38, 27.37, 21.61, 22.65, 29.29, 37.5, 
##     20.98, 25.68, 22.14, 26.95, 34.7, 32.55, 31, 30.41, 20.92, 
##     26.96, 23.06, 34.67, 27.26, 29.16, 19.37, 38.09, 24.14, 27.32, 
##     26.31, 23.73, 14.2, 28.32, 33.72, 30.13, 25.83, 26.5, 31.96, 
##     25.54, 32.96, 22.68, 25.07, 22.53, 37.97, 26.58, 33.28, 21.79, 
##     26.09, 33.83, 28.89, 31.93, 25.35, 23.03, 30.11, 28.89, 26.57, 
##     25.06, 20.85, 26.39, 28.73, 27.05, 28.06, 41.82, 26.25, 25.84, 
##     24.03, 30.52, 28.8, 31.66, 36.94, 27.44, 24.21, 24.21, 32.29, 
##     26.37, 20.12, 54.25, 28.17, 24.97, 23.67, 21.77, 21.26, 53.96, 
##     30.9, 28.7, 27.2, 22.86, 27.89, 36.46, 38.77, 25.11, 20.02, 
##     29.63, 17.7, 26.63, 23.06, 28.29, 45.52, 29.27, 28.59, 29.12, 
##     26.58, 26.12, 32.08, 30.18, 41.76, 29.29, 19.84, 29.65, 29.84, 
##     30.47, 25.09, 24.37, 22.15, 27.5, 32.49, 27.67, 44.77, 35.51, 
##     26.89, 25.82, 31, 26.5, 23.67, 28.32, 30.9, 18.25, 23.3, 
##     27.12, 32.28, 23.71, 37.12, 26.17, 26.78, 23.43, 31.18, 28.06, 
##     41.37, 30.41, 29.53, 31.55, 26.39, 27.12, 35.85, 20.37, 13.29, 
##     33.29, 43.58, 33.91, 28.04, 24.21, 34.67, 23.63, 27.46, 43.27, 
##     26.96, 33.91, 29.29, 24.96, 32.73, 20.8, 22.6, 20.97, 48.25, 
##     25.1, 27.17, 25.83, 27.44, 34.36, 41.84, 21.97, 46.06, 30.34, 
##     28.06, 22.6, 30, 27.89, 25.77, 33.36, 29.38, 31.75, 32.28, 
##     38.87, 29.84, 32.55, 25.7, 40.24, 21.63, 35.74, 24.03, 30.86, 
##     31.89, 21.86, 25.1, 25.1, 27.34, 24.41, 25.13, 27.44, 18.46, 
##     24.21, 25.24, 44.3, 26.45, 24.68, 42.89, 27.26, 34.67, 28.7, 
##     30.34, 24.48, 33.33, 48.29, 34.96, 24.03, 28.31, 36.01, 25.18, 
##     33.96, 36.62, 32.98, 28.35, 45.61, 44.48, 30.3, 21.63, 26.58, 
##     29.68, 29.16, 28.7, 25.82, 21.95, 29.86, 22.89, 37.31, 29.7, 
##     26.39, 19.22, 31.79, 28.97, 21.34, 33.91, 26.63, 31.9, 24.63, 
##     25.97, 28.34, 27.26, 19.71, 28.6, 24.21, 41.84, 37.6, 27.26, 
##     24.78, 19.65, 29.03, 22.24, 26.58, 33.89, 24.33, 29.53, 34.01, 
##     37.44, 32.08, 39.53, 40.24, 27.71, 28.32, 25.11, 26.5, 28.67, 
##     30.79, 28.94, 32.28, 27.26, 22.81, 31.89, 21.93, 40.18, 30.41, 
##     36.02, 30.34, 24.37, 33.96, 19.64, 27.8, 28.48, 33.12, 29.29, 
##     29.37, 27.12, 30.24, 22.86, 29.05, 20.34, 31.93, 22.44, 26.91, 
##     30.67, 27.46, 33.41, 27.71, 23.24, 22.15, 25.68, 36.57, 27.32, 
##     18.89, 40.51, 28.98, 32.69, 20.8, 34.5, 22.43, 21.63, 23.09, 
##     34.18, 54.25, 30.11, 32.69, 29.84, 29.84, 25.09, 26.54, 28.84, 
##     42.04, 29.95, 35.3, 27.98, 32.56, 27.05, 30.81, 30.3, 29.53, 
##     38.74, 18.02, 41.96, 20.34, 20.5, 33.23, 45.17, 24.27, 37.76, 
##     28.7, 28.06, 29.53, 45.19, 32.12, 23.09, 31.57, 26.96, 25.83, 
##     19.77, 44.63, 35.83, 33.95, 33.28, 22.96, 36.34, 29.21, 32.55, 
##     22.15, 24.39, 25.89, 31.47, 23.01, 39.16, 21.95, 29.38, 31.45, 
##     21.34, 31.04, 29.09, 49.76, 27.17, 24.97, 28.35, 31.17, 24.03, 
##     41.84, 28.17, 28.25, 22.6, 26.29, 28.13, 22.96, 28.32, 22.22, 
##     17.79, 33.36, 26.45, 35.91, 25.1, 49.48, 45.7, 28.35, 25.75, 
##     17.68, 23.69, 26.39, 27.12, 27.44, 38.13, 19.77, 20.22, 36.84, 
##     22.15, 32.28, 35.52, 26.61, 20.8, 33.89, 24.45, 36.26, 22.46, 
##     27.04, 26.99, 31.17, 38.97, 31.93, 27.99, 56.12, 24.41, 33.48, 
##     33.67, 22.35, 36.32, 27.44, 33.45, 28.06, 35.61, 37.79, 22.85, 
##     38.02, 45.17, 45.98, 31.62, 35.44, 29.95, 26.47, 41.5, 29.53, 
##     25.09, 27.26, 22.15, 25.02, 29.53, 41.35, 31.75, 37.3, 28.7, 
##     35.87, 34.95, 25.39, 33.38, 28.25, 25.09, 29.16, 28.97, 42.51, 
##     28.5, 25.51, 36.19, 29.16, 22.52, 27.12, 25.85, 35.12, 29.41, 
##     18.99, 27.12, 33.38, 33.23, 29.29, 28.25, 39.94, 22.46, 18.48, 
##     23.75, 26.63, 25.75, 24.53, 24.39, 22.31, 24.41, 23.73, 27.22, 
##     31.14, 33.45, 16.13, 30.68, 28.19, 19.01, 32.89, 45.11, 31.48, 
##     21.63, 26, 32.08, 24.07, 32.32, 21.97, 27.89, 24.72, 27.17, 
##     23.96, 21.79, 28.19, 17.07, 27.98, 34.77, 33.72, 22.24, 21.95, 
##     21.54, 24.01, 22.45, 25.83, 28.25, 26.39, 27.34, 30.42, 28.43, 
##     23.12, 21.41, 23.49, 22.6, 34.3, 28.06, 27.94, 25.11, 38.01, 
##     23.24, 24.56, 31.89, 23.13, 24.1, 23.42, 30.21, 25.75, 24.41, 
##     30.27, 33.95, 28.35, 22.96, 32.1, 24.39, 29.26, 32.28, 38.26, 
##     25.7, 37.91, 45.61, 32.69, 30.13, 23.48, 22.68, 37.88, 41.35, 
##     19.01, 24.75, 23.67, 31.74, 27.37, 32.98, 28.17, 31.78, 20.92, 
##     36.92, 19.74, 31.32, 25.82, 19, 40.81, 24.41, 25.82, 25.61, 
##     34.87, 45.65, 26.54, 32.55, 21.29, 28.7, 46.99, 31.57, 43.84, 
##     25.59, 25.09, 28.76, 25.8, 27.89, 27.98, 25.02, 18.47, 24.21, 
##     16.64, 25.11, 22.16, 30.68, 32.08, 28.48, 26.61, 37.31, 22.66, 
##     27.81, 27.14, 44.81, 22.45, 39.16, 33.28, 26.39, 24.41, 31.28, 
##     22.96, 25.02, 27.98, 39.5, 24.07, 30.7, 24.37, 29.23, 25.77, 
##     34.95, 31.17, 40.85, 29.05, 26.58, 30.34, 31.87, 21.73, 23.11, 
##     44.48, 22.81, 28.89, 34.44, 32.61, 22.24, 26.52, 23.62, 24.69, 
##     26.96, 31.32, 30.9, 40.74, 28.13, 21.7, 30.55, 19.77, 28.89, 
##     26.63, 21.95, 32.01, 31.57, 33.38, 31.64, 23.75, 27.99, 23.3, 
##     36.26, 29.03, 27.89, 24.37, 33.91, 29.26, 46.18, 34.33, 21.7, 
##     25.8, 31.32, 24.83, 21.73, 21.62, 26.63, 23.4, 31.71, 26.57, 
##     27.46, 30.68, 26.63, 24.61, 29.57, 34.7, 42.6, 27.2, 34.37, 
##     28.13, 38.41, 29.29, 22.24, 30.68, 27.46, 28.27, 28.66, 24.8, 
##     25.1, 32.92, 33.91, 43.6, 31.25, 35.69, 42.51, 24.33, 33.47, 
##     26.08, 25.76, 32.01, 23.24, 27.34, 32.32, 24.63, 32.11, 28.8, 
##     38.97, 24.83, 27.12, 28.19, 32.49, 32.92, 33.65, 24.41, 27.89, 
##     22.89, 43.9, 33.57, 22.46, 32.61, 32.28, 26.76, 29.86, 33, 
##     32.39, 37.59, 30.04, 28.7, 35.93, 34.36, 22.59, 45.85, 41.05, 
##     28.08, 22.14, 23.17, 37.38, 29.86, 25.1, 34.87, 30.11, 30.38, 
##     25.61, 27.44, 27.98, 24.21, 25.79, 34.17, 35.51, 36.32, 51.77, 
##     27.4, 36.62, 27.26, 26.57, 38.3, 25.09, 34.44, 35.33, 37.31, 
##     34.97, 29.76, 40.39, 29.21, 25.79, 32.55, 28.29, 21.54, 20.36, 
##     45.49, 23.41, 35.26, 22.32, 29.82, 28.89, 39.87, 28.97, 24.03, 
##     35.44, 18.46, 45.19, 33.95, 33.72, 30.9, 23.06, 26.58, 25.94, 
##     30.65, 33.63, 34.33, 29.76, 40.72, 29.95, 30.81, 19.05, 29.01, 
##     29.53, 26.63, 35.51, 35.88, 28.51, 34.58, 27.44, 15.87, 24.13, 
##     21.34, 32.08, 25.84, 36.81, 19.91, 27.76, 34.01, 29.76, 27.12, 
##     24.11, 19.97, 33.91, 30.02, 26.5, 25.42, 19.49, 28.89, 32.44, 
##     23.01, 34.33, 19.53, 33, 35.24, 22.24, 41.96, 27.12, 27.26, 
##     28.65, 26.95, 22.6, 20.6, 23.67, 27.84, 31.04, 24.51, 36.58, 
##     23.99, 33.91, 29.12, 38.08, 38.02, 36.28, 22.81, 18.94, 27.46, 
##     33.83, 32.28, 27.05, 24.75, 29.29, 38.62, 29.24, 26.34, 28.25, 
##     26.5, 27.26, 38.77, 27.29, 28.89, 33.3, 21.48, 19.14, 31.75, 
##     27.72, 22.45, 29.79, 25.61, 31.32, 35.78, 20.34, 41.16, 31.66, 
##     25.68, 29.53, 28.89, 32.97, 28.8, 22.67, 36.02, 29.53, 19.4, 
##     27.34, 32.01, 32.28, 25.4, 29.29, 35.26, 35.53, 24.39, 29.29, 
##     31.01, 22.66, 39.33, 39.87, 34.33, 27.98, 28.73, 29.76, 21.93, 
##     26.45, 25.83, 21.97, 26.36, 37.59, 29.05, 38.39, 36.49, 29.05, 
##     34.62, 31.19, 29.76, 51.72, 25.11, 27.46, 27.89, 25.1, 26.58, 
##     29.37, 36.92, 23.3, 19.22, 36.92, 21.35, 31.6, 32.5, 23.78, 
##     43.33, 26.63, 32.55, 20.62, 28.98, 25.39, 25.75, 23.23, 33.64, 
##     34.04, 26.78, 26.22, 35.87, 28.27, 28.13, 40.18, 29.84, 24.41, 
##     34.46, 18.94, 28.06, 25.84, 35.55, 27.2, 29.57, 26.73, 23.11, 
##     29.66, 24.89, 27.22, 25.51, 25.06, 37.71, 27.44, 28.35, 25.23, 
##     27.17, 34.21, 29.05, 27.37, 24.89, 27.8, 25.1, 28.97, 35.44, 
##     32.55, 30.51, 36.64, 36.62, 31.38, 25.1, 39.84, 32.89, 27.98, 
##     40.35, 30.96, 37.44, 32.28, 24.96, 20.18, 25.73, 26.63, 24.22, 
##     26.93, 29.05, 33.96, 25.1, 25.46, 35.87, 24.33, 28.7, 55.2, 
##     28.97, 34.44, 31.14, 28.29, 22.31, 32.58, 25.5, 31.53, 26.63, 
##     25.68, 20.92, 21.26, 24.89, 34.3, 26.57, 25.1, 27.12, 30.13, 
##     24.21, 35.44, 30.52, 21.8, 32.23, 31.09, 35.15, 35.43, 29.76, 
##     37.12, 20.98, 23.17, 23.1, 22.15, 31.32, 36.34, 26.12, 34.15, 
##     27.55, 24.21, 24.03, 41.6, 27.37, 27.2, 51.21, 36.58, 24.37, 
##     25.84, 27.37, 29.41, 33.23, 49.88, 43.43, 41.5, 26.63, 31.93, 
##     33.19, 30.79, 22.31, 37.69, 25.75, 23.44, 38.01, 27.88, 33.3, 
##     28.7, 30.57, 29.18, 67.81, 31.17, 36.62, 23.01, 27.29, 25.33, 
##     24.37, 23.67, 26.83, 28.7, 23.49, 38.01, 31.32, 39.68, 33.3, 
##     35.95, 25.07, 29.29, 30.11, 35.26, 31, 23.4, 27.32, 35.4, 
##     30.85, 30.27, 47.46, 27.98, 31.19, 22.15, 28.89, 26.37, 28.13, 
##     25.83, 32.74, 35.51, 33.73, 19.77, 30.54, 30.9, 30.79, 33, 
##     21.25, 22.31, 29.23, 33.28, 27.26, 29.53, 28.37, 40.18, 25.69, 
##     26.22, 23.78, 24.33, 27.32, 28.41, 22.66, 32.77, 31.82, 24.21, 
##     36.32, 37.79, 38.23, 32.08, 23.75, 24.21, 35.73, 31, 30.41, 
##     22.71, 25.1, 37.4, 24.34, 46.3, 36.28, 23.33, 25.06, 24.37, 
##     29.03, 27.73, 27.37, 29.12, 24.41, 22.53, 24.8, 33.73, 34.44, 
##     23.37, 21.29, 29.94, 24.1, 27.44, 30.4, 28.41, 29.29, 51.55, 
##     33.72, 25.75, 29.41, 29.84, 28.17, 21.02, 30.43, 25.29, 18.3, 
##     23.63, 34.75, 20.78, 18.99, 27.06, 34.87, 27.46, 50.81, 24.41, 
##     25.83, 20.53, 22.81, 27.37, 32.28, 21.43, 27.34, 27.91, 33, 
##     45.73, 24.39, 32.08, 36.28, 22.38, 31.31, 40.69, 29.05, 21.52, 
##     26.76, 27.6, 33.2, 25.21, 25.79, 32.1, 28.31, 28.89, 36.58, 
##     23.17, 29.05, 24.27, 35.19, 26.58, 29.18, 38.69, 24.41, 22.15, 
##     31, 26.73, 28.95, 31.57, 25.25, 22.32, 31.32, 23.71, 32.22, 
##     29.83, 18.38, 27.12, 22.47, 29.29, 36.05, 33.23, 54.82, 26.45, 
##     38.77, 32.74, 30.13, 25.1, 22.71, 29.04, 39.33, 31.32, 25.61, 
##     35.02, 26.95, 29.38, 26.57, 31.01, 27.46, 27.41, 25.58, 28.8, 
##     24.69, 24.21, 19.29, 22.38, 37.76, 27.89, 34.96, 26.4, 26.58, 
##     33.45, 24.33, 17.19, 20.97, 24.89, 28.35, 29.53, 25.84, 28.8, 
##     28.66, 25.7, 25, 34.87, 32.98, 27.94, 28.89, 30.41, 36.03, 
##     29.05, 23.57, 32.49, 24.24, 24.82, 31.57, 28.89, 25.69, 27.32, 
##     21.41, 37.97, 31.64, 35.44, 26.39, 25.68, 30.72, 28.19, 25.13, 
##     26.34, 27.8, 27.62, 24.14, 35.94, 25.23, 32.28, 34.17, 27.46, 
##     24.41, 44.63, 34.33, 21.29, 37.37, 35.87, 24.27, 23.63, 31.89, 
##     29.26, 28.82, 27.37, 23.62, 30.67, 27.28, 25.1, 34.26, 35.43, 
##     22.71, 44.93, 46.87, 32.01, 23.01, 43.46, 33.47, 28.13, 35.29, 
##     37.31, 35.26, 29.27, 30.54, 27.37, 23.26, 39.54, 22.6, 41.5, 
##     34.67, 29.53, 31.27, 28.11, 30.12, 26.97, 31.93, 32.28, 41.2, 
##     29.41, 29.01, 29.56, 30.13, 27.99, 26.83, 19.79, 24.68, 26.63, 
##     30.27, 34.95, 30.68, 29.29, 29.84, 29.38, 22.96, 21.58, 28.7, 
##     27.37, 25.24, 24.86, 36.58, 20.51, 31.32, 37.25, 32.78, 21.95, 
##     29.76, 21.52, 22.66, 34.01, 33.28, 26.94, 21.93, 25.4, 21.87, 
##     34.33, 28.27, 23.26, 29.26, 16.82, 29.65, 24.05, 31.96, 27.26, 
##     21.95, 28.48, 28.19, 23.18, 27.73, 33.19, 25.09, 24.28, 35.31, 
##     27.37, 23.49, 27.12, 24.28, 21.83, 26.45, 25.79, 35.15, 28.7, 
##     26.12, 33.5, 25.07, 23.67, 26.61, 21.63, 32.28, 25.09, 20.36, 
##     20.6, 38.08, 38.55, 28.71, 25.63, 24.41, 26.63, 25.79, 26.63, 
##     36.02, 37.31, 25.58, 30.85, 24.53, 34.28, 25.78, 29.53, 34.95, 
##     35.43, 25.09, 29.37, 25.79, 33.08, 26.63, 29.76, 27.2, 32.28, 
##     28.7, 20.8, 28.7, 26.08, 30.67, 40.97, 31.57, 28.97, 26.78, 
##     31.38, 21.74, 37.76, 40.29, 20.37, 39.46, 25.82, 26.13, 37.3, 
##     20.49, 29.53, 25.84, 23.67, 23.78, 28.7, 25.75, 28.25, 24.2, 
##     36.58, 27.61, 31.93, 25.39, 27.12, 30.85, 31.75, 32.81, 41.37, 
##     32.28, 37.31, 21.26, 26.15, 55.8, 34.48, 45.61, 26.32, 34.3, 
##     24.13, 32.98, 26.37, 30.05, 28.08, 28.43, 47.43, 27.71, 29.82, 
##     25.54, 32.11, 26.34, 26.5, 25.66, 28.89, 34.06, 39.16, 21.48, 
##     18.47, 31.46, 29.16, 27.46, 27.46, 31.32, 26.45, 29.53, 23.74, 
##     33.14, 35.78, 25.51, 32.55, 25.09, 25.8, 27.98, 31.57, 26.94, 
##     39.84, 16.43, 23.91, 22.46, 28.34, 23.73, 34.21, 33.98, 27.46, 
##     22.13, 26.63, 17.75, 26.61, 30.04, 27.32, 30.23, 36.33, 28.08, 
##     30.9, 30.41, 25.85, 26.11, 27.2, 27.12, 23.13, 35.36, 25.85, 
##     43.46, 38.74, 25.61, 27.61, 19.74, 29.5, 27.37, 29.29, 32.44, 
##     31.62, 19.97, 27.6, 19.14, 30.54, 25.83, 21.14, 41.2, 25.09, 
##     21.93, 32.32, 21.25, 24.21, 47.45, 38.52, 29.86, 30.9, 28.13, 
##     28.32, 29.68, 21.61, 28.65, 28.97, 28.35, 19.01, 25.11, 25.85, 
##     24.02, 31.12, 24.21, 32.23, 33.82, 54.38, 23.03, 33.45, 37.12, 
##     37.31, 32.92, 34.37, 25.1, 36.21, 31.57, 24.65, 24.43, 29.16, 
##     32.12, 27.32, 42.33, 26.5, 26.31, 24.41, 22.96, 25.77, 39.75, 
##     27.98, 47.55, 32.98, 30.85, 23.75, 44.2, 30.13, 18.54, 26.39, 
##     27.12, 38.17, 27.89, 36.65, 37.66, 32.22, 34.22, 32.78, 31.52, 
##     32.28, 34.7, 25.82, 23.73, 41.6, 31.96, 23.4, 30.11, 30.9, 
##     27.07, 25.09, 29.81, 30.41, 41.35, 25.69, 29.95, 41, 36.9, 
##     28.52, 19.97, 29.03, 40.69, 27.79, 26.58, 26.96, 21.52, 35.78, 
##     21.26, 21.16, 22.81, 24.96, 24.13, 25.84, 41.64, 38.37, 27.12, 
##     27.6, 24.8, 24.89, 45.68, 24.81, 38.39, 27.71, 25.1, 22.6, 
##     29.05, 23.96, 32.61, 22.05, 23.4, 26.54, 25.09, 27.44, 35.62, 
##     35.24, 16.04, 25.06, 31.17, 31.01, 30.51, 27.44, 22.32, 29.26, 
##     31.62, 34.01, 38.62, 23.83, 29.18, 43.46, 25.8, 30.67, 29.41, 
##     23.63, 34.44, 25.83, 32.49, 27.67, 26.63, 34.44, 29.19, 34.78, 
##     36.81, 26.37, 34.44, 36.58, 45.43, 22.96, 32.55, 25.55, 27.02, 
##     28.8, 22.87, 20.77, 31.19, 37.66, 27.89, 25.54, 24.2, 22.46, 
##     27.44, 22.71, 27.06, 23.06, 25.1, 22.96, 22.53, 21.83, 31.32, 
##     27.12, 17.81, 31.09, 16.56, 20.94, 24.21, 25.79, 29.65, 29.98, 
##     41.61, 27.34, 26.61, 22.96, 28.1, 28.66, 38.28, 26.61, 27.89, 
##     23.23, 43.79, 29.05, 20.25, 46.81, 16.4, 29.63, 23.62, 28.07, 
##     37.87, 34.87, 25.8, 23.49, 27.48, 24.56, 27.44, 20.81, 22.89, 
##     27.26, 28.13, 25.07, 29.53, 29.95, 27.12, 27.37, 27.5, 33.45, 
##     31.25, 26.43, 41.76, 23.4, 17.95, 23.57, 28.7, 36.36, 39.53, 
##     23.49, 32.28, 33.47, 31.25, 34.67, 32.78, 29.69, 25.68, 39.16, 
##     32.74, 30.54, 24.89, 31.93, 31.94, 25.5, 23.78, 25.36, 48.66, 
##     31.75, 28.72, 31.32, 37.5, 28.74, 30.3, 29.09, 32.28, 29.56, 
##     41.6, 24.96, 34.13, 21.63, 32.77, 27.37, 22.15, 23.52, 35.44, 
##     25.4, 23.11, 39.87, 29.16, 34.44, 23.73, 34.7, 29.95, 25.1, 
##     19.02, 28.7, 35.15, 22.53, 25.97, 25.1, 32.27, 31.14, 31.57, 
##     27.34, 26.58, 23.33, 27.12, 28.8, 23.06, 31.25, 33.72, 39.06, 
##     22.59, 25.68, 30.52, 27.26, 27.71, 23.49, 25.5, 25.29, 25.29, 
##     35.73, 31.09, 31.87, 33.28, 57.25, 26.54, 34.97, 24.89, 27.46, 
##     32.1, 44.3, 29.26, 27.76, 36.26, 32.56, 24.11, 44.09, 25.1, 
##     36.28, 31.87, 38.25, 32.49, 27.37, 23.99, 21.64, 25.13, 28.34, 
##     29.84, 17.92, 29.84, 26.39, 20.22, 41.6, 29.38, 32.24, 30.81, 
##     28.21, 39.89, 24.37, 19.94, 40.35, 17.11, 24.69, 30.52, 27.46, 
##     22.81, 43.9, 37.12, 25.79, 25.22, 38.01, 33.47, 32.14, 35.54, 
##     30.13, 20.34, 21.73, 29.18, 22.38, 29.53, 16.83, 30.68, 22.46, 
##     26.45, 23.73, 28.27, 28.06, 32.96, 30.28, 26.29, 32.89, 21.73, 
##     32.43, 24.21, 26.58, 22.62, 39.68, 53.61, 25.83, 29.86, 31.32, 
##     41.84, 26.95, 24.69, 23.5, 27.25, 28.17, 31.57, 44.64, 27.44, 
##     44.86, 31.93, 53.04, 25.61, 23.72, 34.3, 22.22, 24.75, 40.77, 
##     23.24, 29.62, 33.84, 35.44, 31.93, 25.75, 19.53, 31.62, 30.21, 
##     28.12, 38.13, 25.11, 28.34, 26.45, 23.41, 24.41, 26.54, 85.8, 
##     27.98, 18.65, 32.41, 24.69, 26.96, 35.19, 28.43, 31.25, 31.75, 
##     29.99, 25.85, 26.78, 31.47, 26.58, 25.73, 24.59, 28.7, 39.79, 
##     33.75, 23.63, 29.95, 25.09, 26.31, 21.29, 26.5, 26.43, 29.56, 
##     29.29, 18.42, 33.84, 29.26, 22.43, 32.44, 24.89, 30.11, 28.19, 
##     32.56, 40.91, 27.41, 33.96, 28.59, 23.03, 33.23, 44.86, 35.51, 
##     23.3, 19.05, 28.15, 23.44, 27.89, 27.29, 25.25, 34.17, 25.84, 
##     20.98, 37.93, 20.45, 31.62, 29.53, 28.12, 24.41, 32.28, 30.42, 
##     36.61, 18.47, 25.25, 31.39, 25.11, 32.08, 30.57, 37.5, 25.82, 
##     27.81, 41.84, 18.52, 32.92, 19.47, 27.44, 27.26, 23.67, 29.65, 
##     21.97, 25.1, 28.7, 34.87, 24.97, 34.46, 24.96, 22.4, 27.89, 
##     31.95, 34.58, 33.84, 32.92, 30.52, 27.12, 27.81, 23.03, 26.04, 
##     26.37, 27.46, 27.2, 30.27, 32.57, 19.46, 35.43, 28.41, 16.95, 
##     37.59, 18.25, 22.14, 27.39, 31.38, 27.44, 31.28, 27.44, 42.41, 
##     27.44, 25.82, 19.58, 27.41, 27.46, 29.26, 19.79, 21.3, 32.32, 
##     30.72, 31.93, 22.53, 29.53, 21.79, 23.67, 30.56, 45.19, 36.25, 
##     20.71, 31.95, 29.79, 27.46, 30.55, 37.79, 26.63, 29.99, 30.74, 
##     29.99, 30.38, 29.95, 30.67, 28.29, 41.63, 43.48, 31.62, 27.32, 
##     33, 36, 27.12, 25.15, 42.75, 28.6, 33.89, 13.81, 29.58, 33.53, 
##     39.13, 26.92, 26.5, 32.1, 19.2, 24.3, 26.58, 36.18, 27.25, 
##     26.29, 30.67, 25.09, 28.7, 41.12, 28.97, 32.55, 23.52, 34.06, 
##     35.94, 35.26, 29.29, 37.41, 44.29, 43.38, 26.92, 28.06, 20.2, 
##     21.79, 31.89, 53.56, 28.25, 31.93, 22.86, 32.98, 20.18, 25.38, 
##     24.41, 23.49, 26.91, 39.05, 32.76, 23.33, 24.37, 29.49, 38.27, 
##     23.43, 31.74, 28.25, 44.93, 22.6, 26.63, 31.32, 17.38, 29.76, 
##     31.32, 23.06, 23.62, 25.84, 41.2, 26.22, 32.42, 29.99, 26.63, 
##     21.7, 25.75, 27.41, 26.57, 31.89, 27.4, 25.84, 29.41, 33.38, 
##     27.46, 39.59, 28.84, 26.45, 34.54, 20.8, 24.27, 28.34, 24.81, 
##     39.33, 33.23, 28.13, 36.49, 33.19, 27.1, 22.85, 30.42, 26.54, 
##     25.09, 18.25, 28.12, 37.31, 23.69, 30.54, 30.29, 33.47, 26.61, 
##     30.62, 35.31, 26.5, 26.39, 26.54, 25.99, 27.98, 33.19, 21.03, 
##     27.46, 28.5, 25.02, 33.44, 25.02, 34.18, 32.92, 30.68, 43.01, 
##     27.44, 41.6, 22.67, 40.46, 22.81, 26.58, 26.63, 25.23, 28.35, 
##     21.29, 26.57, 31.32, 23.78, 22.32, 29.76, 26.85, 19.05, 29.26, 
##     38.17, 17.71, 26.09, 22.24, 29.05, 18.3, 29.83, 34.58, 34.97, 
##     28.19, 21.29, 29.41, 38.01, 40.85, 34.44, 28.34, 36.58, 34.16, 
##     30.21, 19.3, 22.89, 30.62, 26.14, 18.99, 26.61, 28.48, 29.29, 
##     30.68, 29.29, 27.2, 32.89, 27.46, 27.99, 26.61, 35.15, 20.38, 
##     30.41, 28.13, 30.04, 30.9, 34.87, 29.66, 20.69, 33.33, 15.77, 
##     31.17, 34.96, 25.82, 20.09, 26.22, 21.46, 32.28, 24.37, 31.75, 
##     30.99, 35.96, 45.42, 22.92, 20.6, 25.51, 25.07, 21.87, 26.54, 
##     18.37, 29.53, 25, 28.8, 32.78, 25.85, 32.77, 23.49, 30.41, 
##     30.42, 25.85, 26.08, 25.38, 20.36, 31.75, 21.7, 27.48, 59.67, 
##     27.44, 24.41, 21.08, 36.26, 38.73, 22.46, 25.63, 23.78, 48.55, 
##     25.84, 25.8, 24.28, 32.08, 24.11, 30.67, 30.9, 23.38, 23.91, 
##     29.26, 26.3, 32.78, 24.14, 26.45, 29.53, 25.39, 25.11, 28.55, 
##     27.8, 29.29, 63.85, 29.05, 25.61, 23.63, 43.94, 38.37, 33.61, 
##     27.37, 40.89, 21.7, 28.75, 26.96, 27.07, 18.83, 37.12, 27.44, 
##     23.29, 32.69, 28.13, 35.44, 31.01, 27.99, 33.91, 28.32, 24.89, 
##     24.41, 26.46, 26.76, 34.21, 31.01, 29.05, 22.31, 27.12, 27.12, 
##     24.37, 31.25, 38.34, 27.2, 29.18, 32.08, 31, 23.03, 36.49, 
##     22.34, 27.46, 25.79, 36.91, 24.63, 27.32, 29.84, 28.25, 24.8, 
##     34.18, 23.49, 35.15, 37.28, 21.61, 43.09, 33.59, 28.66, 38.02, 
##     38.09, 28.32, 23.49, 47.06, 27.46, 31.66, 23.91, 27.26, 32.28, 
##     25.85, 18.56, 35, 24.02, 22.22, 27.37, 29.03, 27.94, 22.32, 
##     34.31, 33.13, 40.72, 22.67, 30.45, 24.39, 23.03, 22.86, 33.28, 
##     26.73, 17.97, 29.86, 25.09, 22.81, 31.89, 29.29, 50.91, 23.01, 
##     45.91, 33.28, 43.27, 36.58, 30.85, 30.42, 33.96, 26.57, 20.7, 
##     27.41, 47.99, 41.16, 29.94, 24.27, 30.79, 32.89, 26.63, 29.29, 
##     26.39, 25.82, 21.14, 31.38, 20.25, 33, 26.56, 30.42, 27.46, 
##     35.85, 37.57, 24.59, 27.98, 32.22, 30.54, 25.1, 27.37, 24.59, 
##     32.89, 21.95, 21.8, 28.32, 37.79, 35.3, 35.12, 28.35, 31.64, 
##     39.87, 26.11, 23.34, 35.44, 33.64, 28.89, 30.23, 32.12, 38.25, 
##     32.49, 48.66, 25.1, 23.01, 29.05, 23.69, 34.21, 32.62, 32.28, 
##     50.21, 35.15, 33.45, 24.96, 22.15, 25.36, 23.73, 23.24, 19.91, 
##     23.73, 26.5, 25.83, 28.19, 26.45, 31.17, 29.16, 27.46, 35.67, 
##     25.54, 26.05, 29.21, 18.08, 29.84, 22.03, 25.83, 29.86, 27.41, 
##     23.33, 48.06, 23.13, 33.67, 23.11, 46.99, 23.49, 18.3, 32.43, 
##     20.67, 27.1, 25.56, 29.18, 35, 49.13, 25.84, 36.49, 37.2, 
##     24.91, 24.98, 40.35, 25.82, 52.13, 30.34, 36.26, 35.24, 31.35, 
##     35.43, 60.08, 35.19, 35.9, 49.8, 32.28, 33.52, 37.93, 33, 
##     31.32, 30.79, 29.7, 29.03, 23.11, 33.44, 24.2, 29.03, 24.28, 
##     38.26, 18.12, 24.79, 30.7, 28.87, 28.13, 19.37, 25.11, 25.85, 
##     24.41, 33.72, 31.32, 30.61, 20.92, 29.05, 29.12, 28.06, 25.18, 
##     25.82, 27.4, 32.89, 29.05, 33.47, 24.21, 32.28, 35.87, 25.99, 
##     26.95, 29.86, 30.17, 34.46, 26.61, 30.23, 38.37, 33.52, 31.65, 
##     25.79, 25.83, 34.21, 34.87, 35.24, 31.01, 27.44, 30.68, 30.54, 
##     39.53, 20.48, 33.89, 32.55, 27.98, 28.43, 44.82, 31.35, 25.84, 
##     20.51, 28.06, 21.91, 31.32, 38.08, 25.68, 33.67, 28.06, 32.98, 
##     28.34, 34.97, 26.58, 27.32, 36.96, 31.38, 22.71, 23.06, 31.53, 
##     25.82, 28.7, 23, 29.98, 29.62, 32.28, 25.83, 29.05, 23.05, 
##     25.82, 36.39, 28.32, 28.01, 29.76, 18.47, 29.7, 18.83, 26.61, 
##     27.98, 35.12, 25.51, 30.41, 33.29, 25.65, 37.59, 31.89, 39.87, 
##     24.27, 37.25, 33.91, 29.09, 24.03, 27.12, 25.69, 25.82, 25.83, 
##     30.41, 45.73, 29.37, 26.15, 26.25, 28.89, 25.75, 29.57, 21.52, 
##     26.75, 30, 44.48, 28.89, 29.53, 25.06, 33.33, 36.61, 26.13, 
##     38.65, 24.33, 29.29, 33.52, 27.26, 33.75, 36.72, 22.55, 28.34, 
##     24.96, 26.45, 64.42, 34.67, 27.46, 29.55, 25.4, 37.28, 26.61, 
##     33.1, 32.49, 37.31, 36.61, 32.28, 21.97, 22.89, 28.37, 43.49, 
##     29.53, 27.62, 32.55, 32.78, 31.01, 29.76, 19.58, 21.11, 43.07, 
##     29.53, 26.35, 36.85, 23.87, 33, 17.58, 26.13, 31.19, 30.65, 
##     33.73, 20.51, 25.38, 19.37, 22.71, 35.73, 27.5, 30.18, 23.91, 
##     24.48, 28.35, 46.06, 34.75, 23.73, 30.96, 46.18, 23.67, 26.63, 
##     26.37, 26.75, 30.17, 29.38, 38.79, 23.56, 29.1, 34.17, 31.02, 
##     25.1, 25.54, 32.89, 30.13, 22.24, 29.84, 26.89, 27.37, 32.19, 
##     16.6, 27.89, 31.19, 31.24, 26.45, 21.52, 25.82, 34.14, 39.16, 
##     27.26, 29.99, 29.62, 24.41, 30.67, 48.47, 30.85, 21.47, 30.41, 
##     30.41, 25.82, 25.61, 70.86, 33.38, 43.6, 26.96, 33.89, 48.73, 
##     30.9, 32.69, 32.28, 29.76, 24.21, 23.3, 37.91, 36.34, 24.01, 
##     25.83, 34.33, 14.23, 19.97, 21.79, 32.87, 35.93, 34.15, 31.19, 
##     21.21, 25.1, 26.29, 31.19, 24.87, 27.71, 29.39, 28.34, 24.27, 
##     29.69, 31.35, 29.05, 35.94, 28.34, 34.2, 43.46, 32.23, 31.48
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##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
##     2)), control = list(20, 7, 0, 4, 5, 2, 0, 30, 0))
##   n= 21464 
## 
##             CP nsplit rel error
## 1  0.471114424      0 1.0000000
## 2  0.024692508      1 0.5288856
## 3  0.011740589      4 0.4419493
## 4  0.003214685      5 0.4302087
## 5  0.002329482      7 0.4237794
## 6  0.001770406      9 0.4191204
## 7  0.001211331     11 0.4155796
## 8  0.001164741     18 0.4071003
## 9  0.001118151     22 0.4024413
## 10 0.001000000     23 0.4013231
## 
## Variable importance
##                 HadAngina1                 ChestScan1 
##                         55                         13 
##              RemovedTeeth3         DifficultyWalking1 
##                          5                          5 
##                 HadStroke1              HadArthritis1 
##                          5                          3 
##             GeneralHealth3             PneumoVaxEver1 
##                          2                          2 
##              SmokerStatus3               HadDiabetes2 
##                          2                          1 
##              AgeCategory12              RemovedTeeth2 
##                          1                          1 
##              RemovedTeeth1                       Sex1 
##                          1                          1 
##         DifficultyErrands1 DifficultyDressingBathing1 
##                          1                          1 
##          HadKidneyDisease1 
##                          1 
## 
## Node number 1: 21464 observations,    complexity param=0.4711144
##   predicted class=No   expected loss=0.5  P(node) =1
##     class counts: 10732 10732
##    probabilities: 0.500 0.500 
##   left son=2 (15664 obs) right son=3 (5800 obs)
##   Primary splits:
##       HadAngina1         < 0.5     to the left,  improve=3019.7020, (0 missing)
##       ChestScan1         < 0.5     to the left,  improve=1448.8520, (0 missing)
##       DifficultyWalking1 < 0.5     to the left,  improve= 891.4264, (0 missing)
##       RemovedTeeth3      < 0.5     to the right, improve= 828.1794, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve= 737.1067, (0 missing)
##   Surrogate splits:
##       GeneralHealth3    < 0.5     to the left,  agree=0.739, adj=0.035, (0 split)
##       HadKidneyDisease1 < 0.5     to the left,  agree=0.732, adj=0.009, (0 split)
##       SleepHours14      < 0.5     to the left,  agree=0.730, adj=0.001, (0 split)
##       BMI               < 71.065  to the left,  agree=0.730, adj=0.001, (0 split)
##       SleepHours17      < 0.5     to the left,  agree=0.730, adj=0.000, (0 split)
## 
## Node number 2: 15664 observations,    complexity param=0.02469251
##   predicted class=No   expected loss=0.3386108  P(node) =0.7297801
##     class counts: 10360  5304
##    probabilities: 0.661 0.339 
##   left son=4 (7679 obs) right son=5 (7985 obs)
##   Primary splits:
##       ChestScan1         < 0.5     to the left,  improve=687.7225, (0 missing)
##       DifficultyWalking1 < 0.5     to the left,  improve=502.2857, (0 missing)
##       HadStroke1         < 0.5     to the left,  improve=437.6298, (0 missing)
##       RemovedTeeth3      < 0.5     to the right, improve=432.0824, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve=339.0056, (0 missing)
##   Surrogate splits:
##       PneumoVaxEver1     < 0.5     to the left,  agree=0.607, adj=0.198, (0 split)
##       HadArthritis1      < 0.5     to the left,  agree=0.601, adj=0.186, (0 split)
##       RemovedTeeth3      < 0.5     to the right, agree=0.599, adj=0.182, (0 split)
##       DifficultyWalking1 < 0.5     to the left,  agree=0.582, adj=0.148, (0 split)
##       SmokerStatus3      < 0.5     to the right, agree=0.574, adj=0.131, (0 split)
## 
## Node number 3: 5800 observations
##   predicted class=Yes  expected loss=0.06413793  P(node) =0.2702199
##     class counts:   372  5428
##    probabilities: 0.064 0.936 
## 
## Node number 4: 7679 observations,    complexity param=0.003214685
##   predicted class=No   expected loss=0.1875244  P(node) =0.3577618
##     class counts:  6239  1440
##    probabilities: 0.812 0.188 
##   left son=8 (4397 obs) right son=9 (3282 obs)
##   Primary splits:
##       RemovedTeeth3      < 0.5     to the right, improve=122.69700, (0 missing)
##       DifficultyWalking1 < 0.5     to the left,  improve=108.13260, (0 missing)
##       HadStroke1         < 0.5     to the left,  improve=105.02130, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve= 96.35534, (0 missing)
##       AgeCategory12      < 0.5     to the left,  improve= 82.95445, (0 missing)
##   Surrogate splits:
##       RemovedTeeth1      < 0.5     to the left,  agree=0.662, adj=0.210, (0 split)
##       SmokerStatus3      < 0.5     to the right, agree=0.625, adj=0.123, (0 split)
##       RemovedTeeth2      < 0.5     to the left,  agree=0.616, adj=0.102, (0 split)
##       DifficultyWalking1 < 0.5     to the left,  agree=0.615, adj=0.099, (0 split)
##       HadArthritis1      < 0.5     to the left,  agree=0.615, adj=0.098, (0 split)
## 
## Node number 5: 7985 observations,    complexity param=0.02469251
##   predicted class=No   expected loss=0.4839073  P(node) =0.3720183
##     class counts:  4121  3864
##    probabilities: 0.516 0.484 
##   left son=10 (7031 obs) right son=11 (954 obs)
##   Primary splits:
##       HadStroke1         < 0.5     to the left,  improve=187.1320, (0 missing)
##       DifficultyWalking1 < 0.5     to the left,  improve=182.5577, (0 missing)
##       RemovedTeeth3      < 0.5     to the right, improve=131.0095, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve=120.7286, (0 missing)
##       PhysicalHealthDays < 5.5     to the left,  improve=108.2453, (0 missing)
## 
## Node number 8: 4397 observations
##   predicted class=No   expected loss=0.1103025  P(node) =0.2048546
##     class counts:  3912   485
##    probabilities: 0.890 0.110 
## 
## Node number 9: 3282 observations,    complexity param=0.003214685
##   predicted class=No   expected loss=0.2909811  P(node) =0.1529072
##     class counts:  2327   955
##    probabilities: 0.709 0.291 
##   left son=18 (3101 obs) right son=19 (181 obs)
##   Primary splits:
##       HadStroke1         < 0.5     to the left,  improve=61.18630, (0 missing)
##       DifficultyWalking1 < 0.5     to the left,  improve=48.16692, (0 missing)
##       GeneralHealth1     < 0.5     to the left,  improve=41.02884, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve=35.72029, (0 missing)
##       HadCOPD1           < 0.5     to the left,  improve=34.40944, (0 missing)
##   Surrogate splits:
##       WeightInKilograms < 40.14   to the right, agree=0.945, adj=0.006, (0 split)
## 
## Node number 10: 7031 observations,    complexity param=0.02469251
##   predicted class=No   expected loss=0.4440336  P(node) =0.3275717
##     class counts:  3909  3122
##    probabilities: 0.556 0.444 
##   left son=20 (5242 obs) right son=21 (1789 obs)
##   Primary splits:
##       DifficultyWalking1 < 0.5     to the left,  improve=136.41790, (0 missing)
##       RemovedTeeth3      < 0.5     to the right, improve=109.18350, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve=107.79010, (0 missing)
##       PhysicalHealthDays < 4.5     to the left,  improve= 76.00086, (0 missing)
##       HadArthritis1      < 0.5     to the left,  improve= 71.42979, (0 missing)
##   Surrogate splits:
##       DifficultyErrands1         < 0.5     to the left,  agree=0.797, adj=0.202, (0 split)
##       PhysicalHealthDays         < 19.5    to the left,  agree=0.792, adj=0.183, (0 split)
##       DifficultyDressingBathing1 < 0.5     to the left,  agree=0.792, adj=0.182, (0 split)
##       GeneralHealth3             < 0.5     to the left,  agree=0.777, adj=0.124, (0 split)
##       BMI                        < 46.84   to the left,  agree=0.752, adj=0.025, (0 split)
## 
## Node number 11: 954 observations
##   predicted class=Yes  expected loss=0.2222222  P(node) =0.04444652
##     class counts:   212   742
##    probabilities: 0.222 0.778 
## 
## Node number 18: 3101 observations,    complexity param=0.001211331
##   predicted class=No   expected loss=0.2676556  P(node) =0.1444745
##     class counts:  2271   830
##    probabilities: 0.732 0.268 
##   left son=36 (2600 obs) right son=37 (501 obs)
##   Primary splits:
##       DifficultyWalking1 < 0.5     to the left,  improve=34.32279, (0 missing)
##       GeneralHealth1     < 0.5     to the left,  improve=31.05796, (0 missing)
##       PneumoVaxEver1     < 0.5     to the left,  improve=28.66856, (0 missing)
##       HadDiabetes2       < 0.5     to the left,  improve=28.27363, (0 missing)
##       HadCOPD1           < 0.5     to the left,  improve=28.10977, (0 missing)
##   Surrogate splits:
##       DifficultyDressingBathing1 < 0.5     to the left,  agree=0.857, adj=0.118, (0 split)
##       DifficultyErrands1         < 0.5     to the left,  agree=0.855, adj=0.104, (0 split)
##       GeneralHealth3             < 0.5     to the left,  agree=0.854, adj=0.096, (0 split)
##       PhysicalHealthDays         < 23.5    to the left,  agree=0.849, adj=0.064, (0 split)
##       BMI                        < 49.225  to the left,  agree=0.844, adj=0.032, (0 split)
## 
## Node number 19: 181 observations
##   predicted class=Yes  expected loss=0.3093923  P(node) =0.008432725
##     class counts:    56   125
##    probabilities: 0.309 0.691 
## 
## Node number 20: 5242 observations,    complexity param=0.01174059
##   predicted class=No   expected loss=0.3864937  P(node) =0.2442229
##     class counts:  3216  2026
##    probabilities: 0.614 0.386 
##   left son=40 (4278 obs) right son=41 (964 obs)
##   Primary splits:
##       HadDiabetes2   < 0.5     to the left,  improve=75.57616, (0 missing)
##       RemovedTeeth3  < 0.5     to the right, improve=65.71755, (0 missing)
##       AgeCategory12  < 0.5     to the left,  improve=53.68008, (0 missing)
##       RemovedTeeth2  < 0.5     to the left,  improve=46.82420, (0 missing)
##       PneumoVaxEver1 < 0.5     to the left,  improve=38.26764, (0 missing)
##   Surrogate splits:
##       SleepHours15 < 0.5     to the left,  agree=0.816, adj=0.001, (0 split)
## 
## Node number 21: 1789 observations,    complexity param=0.001164741
##   predicted class=Yes  expected loss=0.3873672  P(node) =0.08334886
##     class counts:   693  1096
##    probabilities: 0.387 0.613 
##   left son=42 (953 obs) right son=43 (836 obs)
##   Primary splits:
##       Sex1           < 0.5     to the left,  improve=12.538640, (0 missing)
##       GeneralHealth3 < 0.5     to the left,  improve= 8.450877, (0 missing)
##       SmokerStatus3  < 0.5     to the right, improve= 7.119984, (0 missing)
##       RemovedTeeth3  < 0.5     to the right, improve= 7.076008, (0 missing)
##       HadDiabetes2   < 0.5     to the left,  improve= 6.781884, (0 missing)
##   Surrogate splits:
##       HeightInMeters       < 1.705   to the left,  agree=0.830, adj=0.636, (0 split)
##       WeightInKilograms    < 91.855  to the left,  agree=0.617, adj=0.181, (0 split)
##       AlcoholDrinkers1     < 0.5     to the left,  agree=0.579, adj=0.099, (0 split)
##       HadArthritis1        < 0.5     to the right, agree=0.578, adj=0.097, (0 split)
##       DeafOrHardOfHearing1 < 0.5     to the left,  agree=0.573, adj=0.086, (0 split)
## 
## Node number 36: 2600 observations
##   predicted class=No   expected loss=0.235  P(node) =0.1211331
##     class counts:  1989   611
##    probabilities: 0.765 0.235 
## 
## Node number 37: 501 observations,    complexity param=0.001211331
##   predicted class=No   expected loss=0.4371257  P(node) =0.02334141
##     class counts:   282   219
##    probabilities: 0.563 0.437 
##   left son=74 (425 obs) right son=75 (76 obs)
##   Primary splits:
##       GeneralHealth3      < 0.5     to the left,  improve=9.805114, (0 missing)
##       DifficultyErrands1  < 0.5     to the left,  improve=7.208298, (0 missing)
##       GeneralHealth2      < 0.5     to the right, improve=6.324178, (0 missing)
##       HadCOPD1            < 0.5     to the left,  improve=6.244182, (0 missing)
##       PhysicalActivities1 < 0.5     to the right, improve=5.492578, (0 missing)
##   Surrogate splits:
##       SleepHours18 < 0.5     to the left,  agree=0.852, adj=0.026, (0 split)
## 
## Node number 40: 4278 observations,    complexity param=0.002329482
##   predicted class=No   expected loss=0.3461898  P(node) =0.1993105
##     class counts:  2797  1481
##    probabilities: 0.654 0.346 
##   left son=80 (1997 obs) right son=81 (2281 obs)
##   Primary splits:
##       RemovedTeeth3 < 0.5     to the right, improve=51.97162, (0 missing)
##       AgeCategory12 < 0.5     to the left,  improve=51.32895, (0 missing)
##       RemovedTeeth2 < 0.5     to the left,  improve=30.62753, (0 missing)
##       SmokerStatus2 < 0.5     to the left,  improve=24.93519, (0 missing)
##       Sex1          < 0.5     to the left,  improve=24.33463, (0 missing)
##   Surrogate splits:
##       SmokerStatus3      < 0.5     to the right, agree=0.600, adj=0.143, (0 split)
##       RemovedTeeth1      < 0.5     to the left,  agree=0.586, adj=0.113, (0 split)
##       TetanusLast10Tdap1 < 0.5     to the right, agree=0.566, adj=0.070, (0 split)
##       AlcoholDrinkers1   < 0.5     to the right, agree=0.556, adj=0.049, (0 split)
##       SmokerStatus2      < 0.5     to the left,  agree=0.548, adj=0.033, (0 split)
## 
## Node number 41: 964 observations,    complexity param=0.001211331
##   predicted class=Yes  expected loss=0.4346473  P(node) =0.04491241
##     class counts:   419   545
##    probabilities: 0.435 0.565 
##   left son=82 (832 obs) right son=83 (132 obs)
##   Primary splits:
##       RemovedTeeth2      < 0.5     to the left,  improve=7.286831, (0 missing)
##       PhysicalHealthDays < 4.5     to the left,  improve=6.535002, (0 missing)
##       Sex1               < 0.5     to the left,  improve=5.640618, (0 missing)
##       GeneralHealth1     < 0.5     to the left,  improve=5.122523, (0 missing)
##       HadCOPD1           < 0.5     to the left,  improve=4.595320, (0 missing)
##   Surrogate splits:
##       SleepHours15 < 0.5     to the left,  agree=0.865, adj=0.015, (0 split)
## 
## Node number 42: 953 observations,    complexity param=0.001164741
##   predicted class=Yes  expected loss=0.4428122  P(node) =0.04439993
##     class counts:   422   531
##    probabilities: 0.443 0.557 
##   left son=84 (756 obs) right son=85 (197 obs)
##   Primary splits:
##       RemovedTeeth2       < 0.5     to the left,  improve=8.149050, (0 missing)
##       AlcoholDrinkers1    < 0.5     to the right, improve=7.257696, (0 missing)
##       HadCOPD1            < 0.5     to the left,  improve=6.368851, (0 missing)
##       PhysicalActivities1 < 0.5     to the right, improve=4.716685, (0 missing)
##       RemovedTeeth3       < 0.5     to the right, improve=4.531899, (0 missing)
##   Surrogate splits:
##       BMI < 16.635  to the right, agree=0.796, adj=0.015, (0 split)
## 
## Node number 43: 836 observations
##   predicted class=Yes  expected loss=0.3241627  P(node) =0.03894894
##     class counts:   271   565
##    probabilities: 0.324 0.676 
## 
## Node number 74: 425 observations
##   predicted class=No   expected loss=0.3952941  P(node) =0.0198006
##     class counts:   257   168
##    probabilities: 0.605 0.395 
## 
## Node number 75: 76 observations
##   predicted class=Yes  expected loss=0.3289474  P(node) =0.003540813
##     class counts:    25    51
##    probabilities: 0.329 0.671 
## 
## Node number 80: 1997 observations,    complexity param=0.001211331
##   predicted class=No   expected loss=0.2628943  P(node) =0.09303951
##     class counts:  1472   525
##    probabilities: 0.737 0.263 
##   left son=160 (1858 obs) right son=161 (139 obs)
##   Primary splits:
##       AgeCategory12  < 0.5     to the left,  improve=24.07747, (0 missing)
##       HadArthritis1  < 0.5     to the left,  improve=16.19213, (0 missing)
##       AgeCategory3   < 0.5     to the right, improve=11.29505, (0 missing)
##       AgeCategory11  < 0.5     to the left,  improve=10.50440, (0 missing)
##       PneumoVaxEver1 < 0.5     to the left,  improve=10.10787, (0 missing)
##   Surrogate splits:
##       WeightInKilograms < 43.77   to the right, agree=0.931, adj=0.007, (0 split)
## 
## Node number 81: 2281 observations,    complexity param=0.002329482
##   predicted class=No   expected loss=0.4191144  P(node) =0.106271
##     class counts:  1325   956
##    probabilities: 0.581 0.419 
##   left son=162 (1953 obs) right son=163 (328 obs)
##   Primary splits:
##       AgeCategory12        < 0.5     to the left,  improve=18.91069, (0 missing)
##       Sex1                 < 0.5     to the left,  improve=15.94615, (0 missing)
##       RemovedTeeth2        < 0.5     to the left,  improve=14.03012, (0 missing)
##       SmokerStatus2        < 0.5     to the left,  improve=10.75714, (0 missing)
##       DeafOrHardOfHearing1 < 0.5     to the left,  improve=10.29512, (0 missing)
##   Surrogate splits:
##       HeightInMeters < 1.395   to the right, agree=0.857, adj=0.006, (0 split)
## 
## Node number 82: 832 observations,    complexity param=0.001211331
##   predicted class=Yes  expected loss=0.4591346  P(node) =0.03876258
##     class counts:   382   450
##    probabilities: 0.459 0.541 
##   left son=164 (300 obs) right son=165 (532 obs)
##   Primary splits:
##       Sex1               < 0.5     to the left,  improve=6.652332, (0 missing)
##       PhysicalHealthDays < 4.5     to the left,  improve=5.316032, (0 missing)
##       PneumoVaxEver1     < 0.5     to the left,  improve=5.076456, (0 missing)
##       HeightInMeters     < 1.64    to the left,  improve=5.046324, (0 missing)
##       GeneralHealth1     < 0.5     to the left,  improve=4.739364, (0 missing)
##   Surrogate splits:
##       HeightInMeters           < 1.69    to the left,  agree=0.843, adj=0.563, (0 split)
##       WeightInKilograms        < 74.615  to the left,  agree=0.716, adj=0.213, (0 split)
##       BMI                      < 22.145  to the left,  agree=0.655, adj=0.043, (0 split)
##       HadAsthma1               < 0.5     to the right, agree=0.653, adj=0.037, (0 split)
##       DifficultyConcentrating1 < 0.5     to the right, agree=0.647, adj=0.020, (0 split)
## 
## Node number 83: 132 observations
##   predicted class=Yes  expected loss=0.280303  P(node) =0.006149832
##     class counts:    37    95
##    probabilities: 0.280 0.720 
## 
## Node number 84: 756 observations,    complexity param=0.001164741
##   predicted class=Yes  expected loss=0.4761905  P(node) =0.03522177
##     class counts:   360   396
##    probabilities: 0.476 0.524 
##   left son=168 (519 obs) right son=169 (237 obs)
##   Primary splits:
##       RemovedTeeth1     < 0.5     to the left,  improve=7.595188, (0 missing)
##       AlcoholDrinkers1  < 0.5     to the right, improve=5.526539, (0 missing)
##       GeneralHealth3    < 0.5     to the left,  improve=4.449856, (0 missing)
##       HadKidneyDisease1 < 0.5     to the left,  improve=3.957282, (0 missing)
##       GeneralHealth4    < 0.5     to the right, improve=3.808737, (0 missing)
##   Surrogate splits:
##       State44      < 0.5     to the left,  agree=0.692, adj=0.017, (0 split)
##       SleepHours14 < 0.5     to the left,  agree=0.690, adj=0.013, (0 split)
##       State34      < 0.5     to the left,  agree=0.689, adj=0.008, (0 split)
##       State40      < 0.5     to the left,  agree=0.689, adj=0.008, (0 split)
##       SleepHours13 < 0.5     to the left,  agree=0.689, adj=0.008, (0 split)
## 
## Node number 85: 197 observations
##   predicted class=Yes  expected loss=0.3147208  P(node) =0.009178159
##     class counts:    62   135
##    probabilities: 0.315 0.685 
## 
## Node number 160: 1858 observations
##   predicted class=No   expected loss=0.2416577  P(node) =0.08656355
##     class counts:  1409   449
##    probabilities: 0.758 0.242 
## 
## Node number 161: 139 observations,    complexity param=0.001118151
##   predicted class=Yes  expected loss=0.4532374  P(node) =0.00647596
##     class counts:    63    76
##    probabilities: 0.453 0.547 
##   left son=322 (46 obs) right son=323 (93 obs)
##   Primary splits:
##       WeightInKilograms  < 63.05   to the left,  improve=4.317519, (0 missing)
##       HeightInMeters     < 1.74    to the left,  improve=3.375923, (0 missing)
##       PhysicalHealthDays < 20      to the left,  improve=3.028450, (0 missing)
##       BMI                < 21.78   to the left,  improve=2.521430, (0 missing)
##       TetanusLast10Tdap3 < 0.5     to the right, improve=2.313346, (0 missing)
##   Surrogate splits:
##       BMI            < 22.315  to the left,  agree=0.863, adj=0.587, (0 split)
##       HeightInMeters < 1.64    to the left,  agree=0.791, adj=0.370, (0 split)
##       Sex1           < 0.5     to the left,  agree=0.712, adj=0.130, (0 split)
##       State32        < 0.5     to the right, agree=0.683, adj=0.043, (0 split)
##       SleepHours11   < 0.5     to the right, agree=0.683, adj=0.043, (0 split)
## 
## Node number 162: 1953 observations,    complexity param=0.001770406
##   predicted class=No   expected loss=0.3927291  P(node) =0.09098956
##     class counts:  1186   767
##    probabilities: 0.607 0.393 
##   left son=324 (802 obs) right son=325 (1151 obs)
##   Primary splits:
##       Sex1           < 0.5     to the left,  improve=14.219050, (0 missing)
##       RemovedTeeth2  < 0.5     to the left,  improve=12.926460, (0 missing)
##       SmokerStatus2  < 0.5     to the left,  improve= 9.341937, (0 missing)
##       SmokerStatus3  < 0.5     to the right, improve= 8.674411, (0 missing)
##       HeightInMeters < 1.67    to the left,  improve= 7.990157, (0 missing)
##   Surrogate splits:
##       HeightInMeters         < 1.69    to the left,  agree=0.854, adj=0.643, (0 split)
##       WeightInKilograms      < 74.165  to the left,  agree=0.720, adj=0.319, (0 split)
##       BMI                    < 22.145  to the left,  agree=0.616, adj=0.065, (0 split)
##       HadDepressiveDisorder1 < 0.5     to the right, agree=0.614, adj=0.061, (0 split)
##       MentalHealthDays       < 2.5     to the right, agree=0.612, adj=0.055, (0 split)
## 
## Node number 163: 328 observations
##   predicted class=Yes  expected loss=0.4237805  P(node) =0.0152814
##     class counts:   139   189
##    probabilities: 0.424 0.576 
## 
## Node number 164: 300 observations,    complexity param=0.001211331
##   predicted class=No   expected loss=0.4566667  P(node) =0.01397689
##     class counts:   163   137
##    probabilities: 0.543 0.457 
##   left son=328 (100 obs) right son=329 (200 obs)
##   Primary splits:
##       AlcoholDrinkers1   < 0.5     to the right, improve=6.453333, (0 missing)
##       PhysicalHealthDays < 3.5     to the left,  improve=5.369801, (0 missing)
##       LastCheckupTime3   < 0.5     to the left,  improve=5.251854, (0 missing)
##       State23            < 0.5     to the left,  improve=4.852785, (0 missing)
##       BMI                < 39.77   to the right, improve=4.823355, (0 missing)
##   Surrogate splits:
##       HighRiskLastYear1 < 0.5     to the right, agree=0.683, adj=0.05, (0 split)
##       State4            < 0.5     to the right, agree=0.680, adj=0.04, (0 split)
##       State52           < 0.5     to the right, agree=0.677, adj=0.03, (0 split)
##       HeightInMeters    < 1.46    to the left,  agree=0.677, adj=0.03, (0 split)
##       State30           < 0.5     to the right, agree=0.673, adj=0.02, (0 split)
## 
## Node number 165: 532 observations
##   predicted class=Yes  expected loss=0.4116541  P(node) =0.02478569
##     class counts:   219   313
##    probabilities: 0.412 0.588 
## 
## Node number 168: 519 observations,    complexity param=0.001164741
##   predicted class=No   expected loss=0.4759152  P(node) =0.02418002
##     class counts:   272   247
##    probabilities: 0.524 0.476 
##   left son=336 (368 obs) right son=337 (151 obs)
##   Primary splits:
##       HadDiabetes2      < 0.5     to the left,  improve=4.864156, (0 missing)
##       HadKidneyDisease1 < 0.5     to the left,  improve=4.306962, (0 missing)
##       GeneralHealth3    < 0.5     to the left,  improve=2.912459, (0 missing)
##       State27           < 0.5     to the right, improve=2.437750, (0 missing)
##       AgeCategory8      < 0.5     to the right, improve=2.214451, (0 missing)
##   Surrogate splits:
##       State3            < 0.5     to the left,  agree=0.717, adj=0.026, (0 split)
##       State25           < 0.5     to the left,  agree=0.717, adj=0.026, (0 split)
##       State51           < 0.5     to the left,  agree=0.715, adj=0.020, (0 split)
##       HadKidneyDisease1 < 0.5     to the left,  agree=0.715, adj=0.020, (0 split)
##       State47           < 0.5     to the left,  agree=0.711, adj=0.007, (0 split)
## 
## Node number 169: 237 observations
##   predicted class=Yes  expected loss=0.371308  P(node) =0.01104174
##     class counts:    88   149
##    probabilities: 0.371 0.629 
## 
## Node number 322: 46 observations
##   predicted class=No   expected loss=0.3695652  P(node) =0.002143123
##     class counts:    29    17
##    probabilities: 0.630 0.370 
## 
## Node number 323: 93 observations
##   predicted class=Yes  expected loss=0.3655914  P(node) =0.004332836
##     class counts:    34    59
##    probabilities: 0.366 0.634 
## 
## Node number 324: 802 observations
##   predicted class=No   expected loss=0.3204489  P(node) =0.03736489
##     class counts:   545   257
##    probabilities: 0.680 0.320 
## 
## Node number 325: 1151 observations,    complexity param=0.001770406
##   predicted class=No   expected loss=0.443093  P(node) =0.05362467
##     class counts:   641   510
##    probabilities: 0.557 0.443 
##   left son=650 (1005 obs) right son=651 (146 obs)
##   Primary splits:
##       RemovedTeeth2    < 0.5     to the left,  improve=11.699840, (0 missing)
##       LastCheckupTime3 < 0.5     to the left,  improve=10.405680, (0 missing)
##       LastCheckupTime1 < 0.5     to the right, improve= 7.543924, (0 missing)
##       GeneralHealth1   < 0.5     to the left,  improve= 6.475549, (0 missing)
##       SmokerStatus2    < 0.5     to the left,  improve= 5.896884, (0 missing)
## 
## Node number 328: 100 observations
##   predicted class=No   expected loss=0.31  P(node) =0.004658964
##     class counts:    69    31
##    probabilities: 0.690 0.310 
## 
## Node number 329: 200 observations,    complexity param=0.001211331
##   predicted class=Yes  expected loss=0.47  P(node) =0.009317928
##     class counts:    94   106
##    probabilities: 0.470 0.530 
##   left son=658 (22 obs) right son=659 (178 obs)
##   Primary splits:
##       BMI                < 39.77   to the right, improve=5.993422, (0 missing)
##       WeightInKilograms  < 116.8   to the right, improve=5.708285, (0 missing)
##       PhysicalHealthDays < 3.5     to the left,  improve=4.985345, (0 missing)
##       LastCheckupTime3   < 0.5     to the left,  improve=4.681667, (0 missing)
##       State23            < 0.5     to the left,  improve=3.681667, (0 missing)
##   Surrogate splits:
##       WeightInKilograms < 108.405 to the right, agree=0.965, adj=0.682, (0 split)
##       State33           < 0.5     to the right, agree=0.895, adj=0.045, (0 split)
## 
## Node number 336: 368 observations
##   predicted class=No   expected loss=0.4320652  P(node) =0.01714499
##     class counts:   209   159
##    probabilities: 0.568 0.432 
## 
## Node number 337: 151 observations
##   predicted class=Yes  expected loss=0.4172185  P(node) =0.007035035
##     class counts:    63    88
##    probabilities: 0.417 0.583 
## 
## Node number 650: 1005 observations
##   predicted class=No   expected loss=0.4159204  P(node) =0.04682259
##     class counts:   587   418
##    probabilities: 0.584 0.416 
## 
## Node number 651: 146 observations
##   predicted class=Yes  expected loss=0.369863  P(node) =0.006802087
##     class counts:    54    92
##    probabilities: 0.370 0.630 
## 
## Node number 658: 22 observations
##   predicted class=No   expected loss=0.1818182  P(node) =0.001024972
##     class counts:    18     4
##    probabilities: 0.818 0.182 
## 
## Node number 659: 178 observations
##   predicted class=Yes  expected loss=0.4269663  P(node) =0.008292956
##     class counts:    76   102
##    probabilities: 0.427 0.573
rpart.plot(basic_balanced_model, box.palette="RdBu", nn=FALSE, type=2)

# prediction
test_df$prediction_rfcaret <- predict.train(
  rf_caret_down, 
  newdata = test_df, 
  type = c("raw")
)

# confusion matrix
confusion_rfcaret <- confusionMatrix(
  test_df$target, 
  test_df$prediction_rfcaret, 
  positive = "Yes", 
  mode="sens_spec"
)

confusion_rfcaret
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  38895  7607
##        Yes   716  1987
##                                           
##                Accuracy : 0.8309          
##                  95% CI : (0.8275, 0.8342)
##     No Information Rate : 0.805           
##     P-Value [Acc > NIR] : < 2.2e-16       
##                                           
##                   Kappa : 0.2597          
##                                           
##  Mcnemar's Test P-Value : < 2.2e-16       
##                                           
##             Sensitivity : 0.20711         
##             Specificity : 0.98192         
##          Pos Pred Value : 0.73511         
##          Neg Pred Value : 0.83642         
##              Prevalence : 0.19498         
##          Detection Rate : 0.04038         
##    Detection Prevalence : 0.05493         
##       Balanced Accuracy : 0.59452         
##                                           
##        'Positive' Class : Yes             
## 

We ran the first model again with the downsampled training set. The confusion matrix shows an accuracy of 83.56%, which is quite good, and very high specificity with 98.14%. Despite sensitivity having improved slightly in comparison to the first model, it is still rather low with 21.05%. There is much room for improvement.

# Extract performance metrics from the confusion matrix
accuracy_rpart <- confusion_rfcaret$overall["Accuracy"]
sensitivity_rpart <- confusion_rfcaret$byClass["Sensitivity"]
specificity_rpart <- confusion_rfcaret$byClass["Specificity"]
precision_rpart <- confusion_rfcaret$byClass['Pos Pred Value']
recall_rpart <- confusion_rfcaret$byClass['Sensitivity']
F1_rpart <- 2 * (precision_rpart * recall_rpart) / (precision_rpart + recall_rpart)

# Model evaluation
predicted_probs <- predict(rf_caret_down, newdata = test_df, type = "prob")[, "Yes"]

# Create a precision-recall curve
pr_curve_rpart <- evalmod(scores = predicted_probs, labels = as.factor(test_df$target), mode = "prcroc")

# Plot the Precision-Recall curve
plot(pr_curve_rpart, main = "Precision-Recall Curve", col = "red", lwd = 2)

# plot the ROC curve and compute the AUC
roc_curve_rpart <- roc(response = as.factor(test_df$target), predictor = predicted_probs)
## Setting levels: control = No, case = Yes
## Setting direction: controls < cases
roc_auc_rpart <- auc(roc_curve_rpart)
roc_auc_rpart
## Area under the curve: 0.8579

The area under the ROC curve (AUC) describes the discriminatory ability of a model. In other words, the ability to distinguish between positive and negative cases. For this model it is 85.1%, which is already quite high.

random forest with ranger

In this chapter, a random forest model is constructed by using the method “ranger” with hyperparameter tuning and tuning grid (tuning_grid_v1). The tuning grid includes parameters such as mtry (number of variables randomly sampled at each split), which is set to 4, 6 and 9 as well as splitrule (the splitting criterion, which is set to “gini”, standing for Gini impurity), and min.node.size (minimum node size for terminal nodes), which is a vector of 5, 10 and 15. Regarding mtry it is said that the optimal number equals the square oot of all the variables in the data set. Since there are 40 predictors in the training data, the optimal number of variables randomly sampled at each split would be 6. However, we included a vector of possible choices to ensure not to miss opprotunities for model improvement. The object control_rf determines the cross validation used. For this model repeated cross-validation with ten folds and ten repeats is applied as specified before.

# tuning grid
tuning_grid_v1 <- expand.grid(
  mtry = c(4, 6, 9), #m=(p)^(1/2)
  splitrule = c("gini"),  # Specify splitting rule options
  min.node.size = c(5, 10, 15))  # Specify the minimum node size for terminal node

#training the forest
set.seed(158)
rf_rf_down <- train(
  target ~ ., 
  data = downsampled_data, 
  method = "ranger",
  trControl = control_rf,
  tuneGrid = tuning_grid_v1,
  metric = "ROC")
rf_rf_down
## Random Forest 
## 
## 21464 samples
##    39 predictor
##     2 classes: 'No', 'Yes' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold, repeated 10 times) 
## Summary of sample sizes: 19317, 19318, 19318, 19317, 19317, 19318, ... 
## Resampling results across tuning parameters:
## 
##   mtry  min.node.size  ROC        Sens       Spec     
##   4      5             0.8830436  0.7791930  0.8212355
##   4     10             0.8829059  0.7776182  0.8214963
##   4     15             0.8830772  0.7781399  0.8220925
##   6      5             0.8857659  0.7879145  0.8148620
##   6     10             0.8858281  0.7871317  0.8159895
##   6     15             0.8858733  0.7860229  0.8165487
##   9      5             0.8867575  0.7970369  0.8057304
##   9     10             0.8869691  0.7962355  0.8067929
##   9     15             0.8871108  0.7949775  0.8081625
## 
## Tuning parameter 'splitrule' was held constant at a value of gini
## ROC was used to select the optimal model using the largest value.
## The final values used for the model were mtry = 9, splitrule = gini
##  and min.node.size = 15.
# prediction
test_df$prediction_rf_down <- predict.train(
  rf_rf_down, 
  newdata = test_df, 
  type = c("raw")
)
# confusion matrix
confusion_rfdown <- confusionMatrix(
  test_df$target, 
  test_df$prediction_rf_down, 
  positive = "Yes", 
  mode="sens_spec"
)
confusion_rfdown
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  37081  9421
##        Yes   552  2151
##                                           
##                Accuracy : 0.7973          
##                  95% CI : (0.7937, 0.8009)
##     No Information Rate : 0.7648          
##     P-Value [Acc > NIR] : < 2.2e-16       
##                                           
##                   Kappa : 0.2331          
##                                           
##  Mcnemar's Test P-Value : < 2.2e-16       
##                                           
##             Sensitivity : 0.18588         
##             Specificity : 0.98533         
##          Pos Pred Value : 0.79578         
##          Neg Pred Value : 0.79741         
##              Prevalence : 0.23518         
##          Detection Rate : 0.04372         
##    Detection Prevalence : 0.05493         
##       Balanced Accuracy : 0.58561         
##                                           
##        'Positive' Class : Yes             
## 

Overall, the models of the differently tuned hyperparameters performed very similarly. The values of the tuning grid used for the final model are mtry = 9, splitrule = gini and min.node.size = 15.

# Extract performance metrics from the confusion matrix
accuracy_rf <- confusion_rfdown$overall['Accuracy']
sensitivity_rf <- confusion_rfdown$byClass['Sensitivity']
specificity_rf <- confusion_rfdown$byClass['Specificity']
precision_rf <- confusion_rfdown$byClass['Pos Pred Value']
recall_rf <- confusion_rfdown$byClass['Sensitivity']
F1_rf <- 2 * (precision_rf * recall_rf) / (precision_rf + recall_rf)

# Model evaluation
predicted_probs_rf <- predict(rf_rf_down, newdata = test_df, type = "prob")[, "Yes"]

# Create a precision-recall curve
pr_curve_rfdown <- evalmod(scores = predicted_probs_rf, labels = as.factor(test_df$target), mode = "prcroc")

# Plot the Precision-Recall curve
plot(pr_curve_rfdown, main = "Precision-Recall Curve", col = "red", lwd = 2)

# plot the ROC curve and compute the AUC
roc_curve_rfdown <- roc(response = as.factor(test_df$target), predictor = predicted_probs_rf)
## Setting levels: control = No, case = Yes
## Setting direction: controls < cases
roc_auc_rfdown <- auc(roc_curve_rfdown)
roc_auc_rfdown
## Area under the curve: 0.8824

The model performance was robust with an accuracy of 79.39% and specificity of 98.6%. However, sensitivity performed even worse than the model using the “rpart” method with a value of 18.47% for the prediction in the test data set. The area under the ROC curve is 88.35%, which indicates to model’s ability to effectively discriminate between classes.

weithed ranger model

Another way to account for the unbalanced classes in the data set is the use of class weights. This way, we do not have to discard observations but we can make use of all of them in the data. The weight introduced for the class “Yes” (having had a herat disease) is 20, since it is approximately the result of the ratio of the prevalence of the two classes to each other (ca. = 0.95/0.05). Meanwhile, “no” is left with a weight of 1. At the same time we are using the tuning grid that has presented itself as the most favorable in the last model (mtry = 9, splitrule = gini and mmin.node.size = 15).

# Define the weighting vector based on the imbalance in the target variable
weights <- ifelse(train_df$target == "Yes", 20, 1)

#tuning grid
tuning_grid_v2 <- expand.grid(
  mtry = c(9),
  splitrule = c("gini"),  
  min.node.size = c(15))

# Training the random forest model with weighting
set.seed(289)
rf_rf_weight <- train(
  target ~ ., 
  data = train_df, 
  method = "ranger",
  trControl = control_rf,
  tuneGrid = tuning_grid_v2,
  metric = "ROC",
  weights = weights
)
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# prediction
test_df$prediction_rfw <- predict.train(
  rf_rf_weight, 
  newdata = test_df, 
  type = c("raw")
)
# confusion matrix
confusion_rfw <- confusionMatrix(
  test_df$target, 
  test_df$prediction_rfw, 
  positive = "Yes", 
  mode="sens_spec"
)
confusion_rfw
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  44882  1620
##        Yes  1347  1356
##                                           
##                Accuracy : 0.9397          
##                  95% CI : (0.9376, 0.9418)
##     No Information Rate : 0.9395          
##     P-Value [Acc > NIR] : 0.4372          
##                                           
##                   Kappa : 0.4456          
##                                           
##  Mcnemar's Test P-Value : 5.928e-07       
##                                           
##             Sensitivity : 0.45565         
##             Specificity : 0.97086         
##          Pos Pred Value : 0.50166         
##          Neg Pred Value : 0.96516         
##              Prevalence : 0.06048         
##          Detection Rate : 0.02756         
##    Detection Prevalence : 0.05493         
##       Balanced Accuracy : 0.71325         
##                                           
##        'Positive' Class : Yes             
## 
# Extract performance metrics from the confusion matrix
accuracy_rfw <- confusion_rfw$overall['Accuracy']
sensitivity_rfw <- confusion_rfw$byClass['Sensitivity']
specificity_rfw <- confusion_rfw$byClass['Specificity']
precision_rfw <- confusion_rfw$byClass['Pos Pred Value']
recall_rfw <- confusion_rfw$byClass['Sensitivity']
F1_rfw <- 2 * (precision_rfw * recall_rfw) / (precision_rfw + recall_rfw)

# Model evaluation
predicted_probs_rfw <- predict(rf_rf_weight, newdata = test_df, type = "prob")[, "Yes"]

# Create a precision-recall curve
pr_curve_rfw <- evalmod(scores = predicted_probs_rfw, labels = as.factor(test_df$target), mode = "prcroc")

# Plot the Precision-Recall curve
plot(pr_curve_rfw, main = "Precision-Recall Curve", col = "red", lwd = 2)

# plot the ROC curve and compute the AUC
roc_curve_rfw <- roc(response = as.factor(test_df$target), predictor = predicted_probs_rfw)
## Setting levels: control = No, case = Yes
## Setting direction: controls < cases
roc_auc_rfw <- auc(roc_curve_rfw)
roc_auc_rfw
## Area under the curve: 0.8841

The accuracy of the model on the test data set is 93.97% and specificity is 97.09%, which is very high. With the model we also reached a sensitivity of 45.57%, which is considerably higher than the models before. The area under the ROC curve is 88.41%, which means the discriminatory ability of the model is similar to the ones before.

Boosted trees

Another possiblity is to build boosted regression trees with XGBoost. Gradient boosting first builds weak learners in a sequential manner, with each subsequent learner aiming to correct the errors of its predecessors. XGBoost, in particular, introduces several innovations to enhance the efficiency and effectiveness of gradient boosting, such as a regularized objective function or tree pruning to prevent overfitting.

#Define the control parameters for hyperparameter tuning using caret
xgbGrid <- expand.grid(
  nrounds = c(150),  # Number of boosting rounds
  eta = c(0.05, 0.1),     # Learning rate
  max_depth = c(4), # Maximum depth of a tree
  gamma = c(0),      # Minimum loss reduction required for a split
  colsample_bytree = c(1), # Subsample ratio of columns for each tree
  min_child_weight = c(1),   # Minimum sum of instance weight needed in a child
  subsample = c(0.8)         # Subsample ratio of the training instances
)

#Set the training control
train_control <- trainControl(
  method = "cv",
  number = 5,
  verboseIter = TRUE,
  returnData = FALSE,
  returnResamp = "none",
  classProbs = TRUE,
  summaryFunction = twoClassSummary,
  allowParallel = TRUE
)

We are setting up hyperparameter tuning for an XGBoost model, including among others the parameters for the number of boosting rounds (nrounds), the learning rate (eta), the maximum depth of a tree (max_depth), the minimum loss reduction required for a split (gamma), and the subsample ratio of columns for each tree (colsample_bytree). The train_control object specifies the cross validation parameters, which include the method “cv” (stands for cross validation) with five folds, verbose iteration logging (verboseIter = TRUE), returning class probabilities (classProbs = TRUE), specifying a summary function for performance evaluation (summaryFunction = twoClassSummary), and allowing parallel processing for faster computation (allowParallel = TRUE). Furthermore, we are accounting for the imbalanced data set by using weights in the model. The weight used is the ratio of the occurrences in the minority class to the ones in the majority class. This results in a weight of 0.053.

set.seed(333) # Ensure reproducibility
xgb_model_log <-   train(
  target ~ ., data = train_df,
  method = "xgbTree",
  trControl = train_control,
  tuneGrid = xgbGrid,
  scale_pos_weight = 0.053, # 0.05/0.095 = 0.053
  metric = "ROC"
)
## + Fold1: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.05, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.10, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## Aggregating results
## Selecting tuning parameters
## Fitting nrounds = 150, max_depth = 4, eta = 0.1, gamma = 0, colsample_bytree = 1, min_child_weight = 1, subsample = 0.8 on full training set
xgb_model_log
## eXtreme Gradient Boosting 
## 
## No pre-processing
## Resampling: Cross-Validated (5 fold) 
## Summary of sample sizes: 157454, 157454, 157453, 157454, 157453 
## Resampling results across tuning parameters:
## 
##   eta   ROC        Sens       Spec     
##   0.05  0.8893636  0.8217642  0.7859666
##   0.10  0.8897909  0.8209474  0.7887622
## 
## Tuning parameter 'nrounds' was held constant at a value of 150
## Tuning
## 
## Tuning parameter 'min_child_weight' was held constant at a value of 1
## 
## Tuning parameter 'subsample' was held constant at a value of 0.8
## ROC was used to select the optimal model using the largest value.
## The final values used for the model were nrounds = 150, max_depth = 4, eta
##  = 0.1, gamma = 0, colsample_bytree = 1, min_child_weight = 1 and subsample
##  = 0.8.
#Print the best-tuned model parameters
print(xgb_model_log$bestTune)
##   nrounds max_depth eta gamma colsample_bytree min_child_weight subsample
## 2     150         4 0.1     0                1                1       0.8
#Predict on the test set
test_pred_prob <- predict(xgb_model_log, newdata = test_df %>% dplyr::select(-target), type = "prob")

test_pred <- ifelse(test_pred_prob[, "Yes"] > 0.5, "Yes", "No")

#Confusion matrix and model evaluation
confusion_xgb <- confusionMatrix(as.factor(test_pred), test_df$target, positive = "Yes")
print(confusion_xgb)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  38194   596
##        Yes  8308  2107
##                                           
##                Accuracy : 0.819           
##                  95% CI : (0.8156, 0.8224)
##     No Information Rate : 0.9451          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2564          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.77950         
##             Specificity : 0.82134         
##          Pos Pred Value : 0.20230         
##          Neg Pred Value : 0.98464         
##              Prevalence : 0.05493         
##          Detection Rate : 0.04282         
##    Detection Prevalence : 0.21167         
##       Balanced Accuracy : 0.80042         
##                                           
##        'Positive' Class : Yes             
## 

The performance measures of this model show a drastic increase in sensitivity. We were able to reach a value of 77.95%, which is considerably higher than the sensitivity of the next best model of 45.57% of the weighted random forest using ranger. The other performance measures are also good with an accuracy of 81.9% and specificity of 82.13%. The area under the ROC curve is high with 88.72%.

# Extract performance metrics from the confusion matrix
accuracy_xgb <- confusion_xgb$overall['Accuracy']
sensitivity_xgb <- confusion_xgb$byClass['Sensitivity']
specificity_xgb <- confusion_xgb$byClass['Specificity']
precision_xgb <- confusion_xgb$byClass['Pos Pred Value']
recall_xgb <- confusion_xgb$byClass['Sensitivity']
F1_xgb <- 2 * (precision_xgb * recall_xgb) / (precision_xgb + recall_xgb)

# Model evaluation
predicted_probs_xgb <- predict(xgb_model_log, newdata = test_df, type = "prob")[, "Yes"]

# Create a precision-recall curve
pr_curve_xgb <- evalmod(scores = predicted_probs_xgb, labels = as.factor(test_df$target), mode = "prcroc")

# Plot Precision-Recall curve
plot(pr_curve_xgb, main = "Precision-Recall Curve", col = "red", lwd = 2)

ggsave ("03_output_data/ROC_curve.png", bg = "white")
## Saving 7 x 5 in image
# plot the ROC curve and compute the AUC
roc_curve_xgb <- roc(response = as.factor(test_df$target), predictor = predicted_probs_xgb)
## Setting levels: control = No, case = Yes
## Setting direction: controls < cases
roc_auc_xgb <- auc(roc_curve_xgb)
roc_auc_xgb
## Area under the curve: 0.8872

In the next step, we inlcude a second boosted tree model with a tuning grid for the hyperparameter. We based our exploration on the optimal values obtained from the last XGBoost model, which had a maximum tree depth of 4 and a learning rate of 0.1. This is why the value of 0.05 for the learning rate is substituted with 0.2. We expand the parameter grid further to encompass additional combinations to test the robustness of the optimal values obtained in last model’s tuning grid.

#Define the control parameters for hyperparameter tuning using caret
xgbGrid <- expand.grid(
  nrounds = c(150),  
  eta = c(0.1, 0.2),     
  max_depth = c(2, 4, 6, 8),
  gamma = c(0),      
  colsample_bytree = c(1),
  min_child_weight = c(1),   
  subsample = c(0.8)
)
 
set.seed(444) # Ensure reproducibility
xgb_model2 <-   train(
  target ~ ., data = train_df,
  method = "xgbTree",
  trControl = train_control,
  tuneGrid = xgbGrid,
  scale_pos_weight = 0.053, # 0.05/0.095 = 0.053
  metric = "ROC"
)
## + Fold1: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold1: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold1: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold2: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold2: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold3: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold3: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold4: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold4: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.1, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.1, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.1, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.1, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.2, max_depth=2, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.2, max_depth=4, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.2, max_depth=6, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## + Fold5: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## - Fold5: eta=0.2, max_depth=8, gamma=0, colsample_bytree=1, min_child_weight=1, subsample=0.8, nrounds=150 
## Aggregating results
## Selecting tuning parameters
## Fitting nrounds = 150, max_depth = 4, eta = 0.1, gamma = 0, colsample_bytree = 1, min_child_weight = 1, subsample = 0.8 on full training set
xgb_model2
## eXtreme Gradient Boosting 
## 
## No pre-processing
## Resampling: Cross-Validated (5 fold) 
## Summary of sample sizes: 157453, 157453, 157454, 157454, 157454 
## Resampling results across tuning parameters:
## 
##   eta  max_depth  ROC        Sens       Spec     
##   0.1  2          0.8887885  0.8249510  0.7821473
##   0.1  4          0.8899450  0.8211624  0.7915578
##   0.1  6          0.8884244  0.8322433  0.7745062
##   0.1  8          0.8856905  0.8544697  0.7404961
##   0.2  2          0.8896814  0.8205605  0.7866192
##   0.2  4          0.8879862  0.8259881  0.7817734
##   0.2  6          0.8832670  0.8480372  0.7442229
##   0.2  8          0.8774848  0.8800709  0.6922279
## 
## Tuning parameter 'nrounds' was held constant at a value of 150
## Tuning
## 
## Tuning parameter 'min_child_weight' was held constant at a value of 1
## 
## Tuning parameter 'subsample' was held constant at a value of 0.8
## ROC was used to select the optimal model using the largest value.
## The final values used for the model were nrounds = 150, max_depth = 4, eta
##  = 0.1, gamma = 0, colsample_bytree = 1, min_child_weight = 1 and subsample
##  = 0.8.

The best performing model is the one with a learning rate of 0.1 and a maximum tree depth of 4. This confirms the optimal values from before. Since the hyperparameter is constructed the same way for the final and best model in this round as in the round before, the performance measures do not vary, as indicated below.

#Print the best-tuned model parameters
print(xgb_model2$bestTune)
##   nrounds max_depth eta gamma colsample_bytree min_child_weight subsample
## 2     150         4 0.1     0                1                1       0.8
#Predict on the test set
test_pred_prob <- predict(xgb_model2, newdata = test_df %>% dplyr::select(-target), type = "prob")

test_pred <- ifelse(test_pred_prob[, "Yes"] > 0.5, "Yes", "No")

#Confusion matrix and model evaluation
confusion_xgb2 <- confusionMatrix(as.factor(test_pred), test_df$target, positive = "Yes")
print(confusion_xgb2)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  38183   596
##        Yes  8319  2107
##                                           
##                Accuracy : 0.8188          
##                  95% CI : (0.8154, 0.8222)
##     No Information Rate : 0.9451          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2561          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.77950         
##             Specificity : 0.82110         
##          Pos Pred Value : 0.20209         
##          Neg Pred Value : 0.98463         
##              Prevalence : 0.05493         
##          Detection Rate : 0.04282         
##    Detection Prevalence : 0.21189         
##       Balanced Accuracy : 0.80030         
##                                           
##        'Positive' Class : Yes             
## 
# Extract performance metrics from the confusion matrix
accuracy_xgb2 <- confusion_xgb2$overall['Accuracy']
sensitivity_xgb2 <- confusion_xgb2$byClass['Sensitivity']
specificity_xgb2 <- confusion_xgb2$byClass['Specificity']
precision_xgb2 <- confusion_xgb2$byClass['Pos Pred Value']
recall_xgb2 <- confusion_xgb2$byClass['Sensitivity']
F1_xgb2 <- 2 * (precision_xgb2 * recall_xgb2) / (precision_xgb2 + recall_xgb2)

# Model evaluation
predicted_probs_xgb2 <- predict(xgb_model_log, newdata = test_df, type = "prob")[, "Yes"]

# Create a precision-recall curve
pr_curve_xgb2 <- evalmod(scores = predicted_probs_xgb2, labels = as.factor(test_df$target), mode = "prcroc")

# Plot Precision-Recall curve
plot(pr_curve_xgb2, main = "Precision-Recall Curve", col = "red", lwd = 2)

ggsave ("03_output_data/ROC_curve_xgb2.png", bg = "white")
## Saving 7 x 5 in image
# plot the ROC curve and compute the AUC
roc_curve_xgb2 <- roc(response = as.factor(test_df$target), predictor = predicted_probs_xgb2)
## Setting levels: control = No, case = Yes
## Setting direction: controls < cases
roc_auc_xgb2 <- auc(roc_curve_xgb2)
roc_auc_xgb2
## Area under the curve: 0.8872

Since the best fit model is the one we defined earlier, the confusion matrix and ROC curve show the same values.

model comparison

For a comprehensive model comparison a table of the performance measures for each model is included in this section.

# Create the data frame to store model metrics
model_metrics <- data.frame(
  Model = c("rf_caret_down", "rf_rf_down", "rf_rf_weight", "xgb_model_log", "xgb_model2"),
  Accuracy = c(accuracy_rpart, accuracy_rf, accuracy_rfw, accuracy_xgb, accuracy_xgb2),
  Sensitivity = c(sensitivity_rpart, sensitivity_rf, sensitivity_rfw, sensitivity_xgb, sensitivity_xgb2),
  Specificity = c(specificity_rpart, specificity_rf, specificity_rfw, specificity_xgb, specificity_xgb2),
  Precision = c(precision_rpart, precision_rf, precision_rfw, precision_xgb, precision_xgb2),
  F1_Score = c(F1_rpart, F1_rf, F1_rfw, F1_xgb, F1_xgb2),
  AUC = c(roc_auc_rpart, roc_auc_rfdown, roc_auc_rfw, roc_auc_xgb, roc_auc_xgb2)
)

# Render table using kable and kableExtra
kable(model_metrics, format = "html") %>%
  kable_styling(full_width = FALSE) %>%
  add_header_above(c(" " = 1, "Model Metrics" = 6))
Model Metrics
Model Accuracy Sensitivity Specificity Precision F1_Score AUC
rf_caret_down 0.8308505 0.2071086 0.9819242 0.7351091 0.3231683 0.8579082
rf_rf_down 0.7973173 0.1858797 0.9853320 0.7957825 0.3013660 0.8823838
rf_rf_weight 0.9397012 0.4556452 0.9708624 0.5016648 0.4775489 0.8840610
xgb_model_log 0.8190428 0.7795043 0.8213410 0.2023044 0.3212380 0.8872241
xgb_model2 0.8188192 0.7795043 0.8211045 0.2020909 0.3209688 0.8872241
# Rename the columns
colnames(model_metrics) <- c("Model", "Accuracy", "Sensitivity", "Specificity", "Precision", "F1 Score", "AUC")

# Print
print(model_metrics)
##           Model  Accuracy Sensitivity Specificity Precision  F1 Score       AUC
## 1 rf_caret_down 0.8308505   0.2071086   0.9819242 0.7351091 0.3231683 0.8579082
## 2    rf_rf_down 0.7973173   0.1858797   0.9853320 0.7957825 0.3013660 0.8823838
## 3  rf_rf_weight 0.9397012   0.4556452   0.9708624 0.5016648 0.4775489 0.8840610
## 4 xgb_model_log 0.8190428   0.7795043   0.8213410 0.2023044 0.3212380 0.8872241
## 5    xgb_model2 0.8188192   0.7795043   0.8211045 0.2020909 0.3209688 0.8872241

It is observable that accuracy is the highest for the weighted ranger model, followed by the downsampled rpart model. Sensitivity is the highest for the weighted xgboost model, where conversely specificity decreased, followed by the weighted ranger model. The F1 score is the mean of precision and recall, which shows these two aspects (sensitivity and precision) in one measure. The F1 score is by far the highest for the weighted ranger model, followed by the boosted models. Overall, we developed some models with high performance metrics. However, as our goal is to especially reach high sensitivity in our model, it still needs to be improved.

cutoff points adjustment

we identified an opportunity for improvements in sensitivity, since it is particularly crucial in the context of accurately predicting individuals with a history of heart disease. To increase sensitivity it is possible to adjust the cutoff points for the probability of an observation being classified as positive. Firstly, we fine-tune the cutoff points of the weighted ranger model. In our initial attempt, we shifted the probability threshold, above which an observation is classified as “yes,” from 50% to 45%.

# prediction
test_df$prediction_rfw_cf <- predict.train(
  rf_rf_weight, 
  newdata = test_df, 
  type = c("prob")
)

#adjusting class probabilities
test_df$prediction_rfw_cf <- ifelse(test_df$prediction_rfw_cf[, "Yes"] > 0.45, "Yes", "No")

# new confusion matrix
confusion_rfw_cf <- confusionMatrix(
  test_df$target, 
  as.factor(test_df$prediction_rfw_cf), 
  positive = "Yes", 
  mode="sens_spec"
)

confusion_rfw_cf
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  44489  2013
##        Yes  1253  1450
##                                           
##                Accuracy : 0.9336          
##                  95% CI : (0.9314, 0.9358)
##     No Information Rate : 0.9296          
##     P-Value [Acc > NIR] : 0.00024         
##                                           
##                   Kappa : 0.4355          
##                                           
##  Mcnemar's Test P-Value : < 2e-16         
##                                           
##             Sensitivity : 0.41871         
##             Specificity : 0.97261         
##          Pos Pred Value : 0.53644         
##          Neg Pred Value : 0.95671         
##              Prevalence : 0.07038         
##          Detection Rate : 0.02947         
##    Detection Prevalence : 0.05493         
##       Balanced Accuracy : 0.69566         
##                                           
##        'Positive' Class : Yes             
## 

Interestingly, sensitivity decreases to 41.87% compared to the original weighted ranger model, while specificity increased slightly (+0.17%). We are trying it again with an even lower threshold of 30%.

# prediction
test_df$prediction_rfw_cf <- predict.train(
  rf_rf_weight, 
  newdata = test_df, 
  type = c("prob")
)

#adjusting class probabilities
test_df$prediction_rfw_cf <- ifelse(test_df$prediction_rfw_cf[, "Yes"] > 0.30, "Yes", "No")

# new confusion matrix
confusion_rfw_cf2 <- confusionMatrix(
  test_df$target, 
  as.factor(test_df$prediction_rfw_cf), 
  positive = "Yes", 
  mode="sens_spec"
)

confusion_rfw_cf2
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  41506  4996
##        Yes   851  1852
##                                          
##                Accuracy : 0.8812         
##                  95% CI : (0.8783, 0.884)
##     No Information Rate : 0.8608         
##     P-Value [Acc > NIR] : < 2.2e-16      
##                                          
##                   Kappa : 0.3355         
##                                          
##  Mcnemar's Test P-Value : < 2.2e-16      
##                                          
##             Sensitivity : 0.27044        
##             Specificity : 0.97991        
##          Pos Pred Value : 0.68516        
##          Neg Pred Value : 0.89256        
##              Prevalence : 0.13917        
##          Detection Rate : 0.03764        
##    Detection Prevalence : 0.05493        
##       Balanced Accuracy : 0.62518        
##                                          
##        'Positive' Class : Yes            
## 
accuracy_rfw_cf <- confusion_rfw_cf2$overall['Accuracy']
sensitivity_rfw_cf <- confusion_rfw_cf2$byClass['Sensitivity']
specificity_rfw_cf <- confusion_rfw_cf2$byClass['Specificity']
precision_rfw_cf <- confusion_rfw_cf2$byClass['Pos Pred Value']
recall_rfw_cf <- confusion_rfw_cf2$byClass['Sensitivity']
F1_rfw_cf <- 2 * (precision_rfw_cf * recall_rfw_cf) / (precision_rfw_cf + recall_rfw_cf)

Here, we can see a further decrease of sensitivity to 27.04%, while specificity is increasing again. The accuracy of the model also decreased slightly. This result is contrary to our expectations. One reason could be that with lowering the cutoff point more observations are classified as positive and the number of observations being correctly classified as positive decreases. This could indicate overfitting of the model.

In a second attempt of improving the sensitivity, we use the gradient boosted model. As for the weighted random forest (ranger) model the first adjusted cutoff point is set to 45%.

#adjusting probabilities
test_pred1 <- ifelse(test_pred_prob[, "Yes"] > 0.45, "Yes", "No")

#Confusion matrix and model evaluation
confusion_xgb1 <- confusionMatrix(as.factor(test_pred1), test_df$target, positive = "Yes")

print(confusion_xgb1)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  36548   499
##        Yes  9954  2204
##                                           
##                Accuracy : 0.7876          
##                  95% CI : (0.7839, 0.7912)
##     No Information Rate : 0.9451          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.2271          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.81539         
##             Specificity : 0.78594         
##          Pos Pred Value : 0.18128         
##          Neg Pred Value : 0.98653         
##              Prevalence : 0.05493         
##          Detection Rate : 0.04479         
##    Detection Prevalence : 0.24709         
##       Balanced Accuracy : 0.80067         
##                                           
##        'Positive' Class : Yes             
## 

An increase of sensitivity from 77.95% to 81.69% is observable with a slight increase of specificity as well. Since our goal is to correctly predict at least 90% of all observations having had a heart disease as having had a heart disease, we further tune to probabilities.

#adjusting probabilities
test_pred2 <- ifelse(test_pred_prob[, "Yes"] > 0.30, "Yes", "No")

#Confusion matrix and model evaluation
confusion_xgb_cf <- confusionMatrix(as.factor(test_pred2), test_df$target, positive = "Yes")
print(confusion_xgb_cf)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction    No   Yes
##        No  30152   253
##        Yes 16350  2450
##                                           
##                Accuracy : 0.6626          
##                  95% CI : (0.6584, 0.6668)
##     No Information Rate : 0.9451          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1458          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.90640         
##             Specificity : 0.64840         
##          Pos Pred Value : 0.13032         
##          Neg Pred Value : 0.99168         
##              Prevalence : 0.05493         
##          Detection Rate : 0.04979         
##    Detection Prevalence : 0.38207         
##       Balanced Accuracy : 0.77740         
##                                           
##        'Positive' Class : Yes             
## 
# Extract performance metrics from the confusion matrix
accuracy_xgb_cf <- confusion_xgb_cf$overall['Accuracy']
sensitivity_xgb_cf <- confusion_xgb_cf$byClass['Sensitivity']
specificity_xgb_cf <- confusion_xgb_cf$byClass['Specificity']
precision_xgb_cf <- confusion_xgb_cf$byClass['Pos Pred Value']
recall_xgb_cf <- confusion_xgb_cf$byClass['Sensitivity']
F1_xgb_cf <- 2 * (precision_xgb_cf * recall_xgb_cf) / (precision_xgb_cf + recall_xgb_cf)

test_pred_numeric <- ifelse(test_pred2 == "Yes", 1, 0)

roc_curve_xgb_cf <- roc(response = as.factor(test_df$target), predictor = test_pred_numeric)
## Setting levels: control = No, case = Yes
## Setting direction: controls < cases
roc_auc_xgb_cf <- auc(roc_curve_xgb_cf)
roc_auc_xgb_cf
## Area under the curve: 0.7774

After trying out different values for the probability cutoff of the positive class, the results show that with a probability cutoff of above 30% for “Yes” a sensitivity of 90.4% is achieved. This means that the model correctly predicts 90% of the actual cases as having a heart disease. However, the trade off between sensitivity and specificity is shown, since specificity decreased to 64.99%. Furthermore, we can observe a diminishing precision, which seems plausible, as more observations are classified as positive, the ratio of the true positives to all classified as positive decreases. The high sensitivity also took a tole on accuracy, as it drastically decreased to 66.26%.

Final model selection

The graph below shows that we tend to have increased the sensitivity in our model selection process. However, the mean curve for accuracy is concave, indicating that after a first increase up to a certain point we lost accuracy again.

In the table below, we compare the two best performing models, the weighted xgboost model with adjusted cutoff points and the weighted ranger model. We can see that sensitivity is higher for the xgboost model due to the adjustment of the cutoff points. However, all other performance measures are better for the weighted ranger model without adjusted cutoff points. This poses a challenge as we want to achieve a balance between constructing a conservative model that prioritizes sensitivity and a model that maintains overall accuracy and precision. We therefore, would recommend using both models complementary to predict heart disease to make use of the conservatism of the one model and the accuracy of the other.

# Create the data frame to store model metrics
model_metrics <- data.frame(
  Model = c("model_xgb_cf", "rf_rf_weight"),
  Accuracy = c(accuracy_xgb_cf, accuracy_rfw),
  Sensitivity = c(sensitivity_xgb_cf, sensitivity_rfw),
  Specificity = c(specificity_xgb_cf, specificity_rfw),
  Precision = c(precision_xgb_cf, precision_rfw),
  F1_Score = c(F1_xgb_cf, F1_rfw),
  AUC = c(roc_auc_xgb_cf, roc_auc_rfw)
)

# Render table using kable and kableExtra
kable(model_metrics, format = "html") %>%
  kable_styling(full_width = FALSE) %>%
  add_header_above(c(" " = 1, "Model Metrics" = 6))
Model Metrics
Model Accuracy Sensitivity Specificity Precision F1_Score AUC
model_xgb_cf 0.6625749 0.9064003 0.6484022 0.1303191 0.2278752 0.7774013
rf_rf_weight 0.9397012 0.4556452 0.9708624 0.5016648 0.4775489 0.8840610
# Rename the columns
colnames(model_metrics) <- c("Model", "Accuracy", "Sensitivity", "Specificity", "Precision", "F1 Score", "AUC")

# Print
print(model_metrics)
##          Model  Accuracy Sensitivity Specificity Precision  F1 Score       AUC
## 1 model_xgb_cf 0.6625749   0.9064003   0.6484022 0.1303191 0.2278752 0.7774013
## 2 rf_rf_weight 0.9397012   0.4556452   0.9708624 0.5016648 0.4775489 0.8840610

Variable importance

The following section explores the variable importance from the different models. Unfortunately, it was not possible to extract the most important variables form the ranger models. However, we can draw conclusions from the other models used. Overall, our analysis encompasses a pool of 142 variables. We present here the variable importance across our models, focusing on the 140 most influential variables. The graphical representation reveals varying degrees of importance attributed to different variables across models, with a notable exception: the consistent significance of the “Had Angina” variable, indicated by the yellow line reaching an importance value of 100 across all models. Presence of this variable implies a history of or current heart disease in an individual, which immediately sets the true target label of the corresponding observations positive.

In contrast, the importance of other variables varies across models. Notably, the rpart-method model demonstrates a more balanced distribution of variable importance, while the XGBoost models assign relatively lower importance to variables other than “Had Angina.” Moreover, there is minimal discernible difference among the XGBoost models.

By selectively displaying 140 out of the 142 possible variables, another aspect of model variation emerges: the variability in overall variable selection. Despite the subtle differences in the importance of less influential variables, the exclusion of the two least important variables underscores a distinction between models. This ordered exclusion, based on variable importance, highlights the divergence in the importance of these variables across models, revealing discrepancies not only within selected variables but also in overall variable importance across models.

top_10_variables <- head(var_imp_car, 10)

# Create a bar chart
ggplot(top_10_variables, aes(x = Importance, y = reorder(Variable, Importance))) +
  geom_bar(stat = "identity", fill = "skyblue") +
  labs(x = "Importance", y = "Variable", title = "Top 10 Important Variables") +
  theme_minimal()

The graph displays the 10 most important variables for the downsampled rpart model. “ChestScan” and “Difficulty Walking” are important indicators. Noticable is the importance of age or variables associated with it, such as “Deaf or hard of hearing”, in the model.

top_10_variables <- head(var_imp_xgb_weight, 10)

# Create a bar chart
ggplot(top_10_variables, aes(x = Importance, y = reorder(Variable, Importance))) +
  geom_bar(stat = "identity", fill = "skyblue") +
  labs(x = "Importance", y = "Variable", title = "Top 10 Important Variables") +
  theme_minimal()

This graph shows the 10 most important variables for the first weighted xgboost model. As described before, it is observable that “Had Angina” is the most important one. This is followed by “ChestScan” and “Had Stroke”, which seems quite intuitive. Other health variables play a role, such as having diabetes 2 or the BMI. Interestingly, “removed teeth” is quite important, which we already have observed in the process of tuning the models.

Due to this notable importance of the “removed teeth” variable in the rpart-model, we conducted a detailed examination of this variable and its correlation with health. While dental health is occasionally indicative of socioeconomic status, we sought to explore its association with age as we do there is no information on socioeconomic backgrounds in the data set. Primarily, it is evident that the majority of individuals did not undergo tooth extraction before the age of 75. Additionally, within our dataset, only a small minority had all of their teeth removed. Consequently, our analysis indicates that the probability of tooth extraction increases with age, irrespective of the total number of teeth removed. This trend is particularly noticeable among individuals who had 1 to 5 teeth removed. This pattern intuitively reflects the natural aging process, where individuals may experience tooth loss as they grow older, albeit not complete tooth loss. However, it is noteworthy that our variable importance analysis identifies the variable denoting complete tooth removal as one of the top five most significant variables, despite the limited number of observations in this category.

#Conclusion We applied several different machine learning models to our problem of predicting heart disease. From our models we can conclude that there are idiosyncrasities within the data that drive our prediction results. The fact that one of our independent variables immediately renders the dependent variable as being true might distort our overall results. However, we can identify other important factors as well. The most relevant for predicting heart disease across models are “Chest Scan” and age. Nevertheless, variable importance differs across models. Other important variables were health issues, such as diabetes, stroke and BMI.

We used different methods to run the models, such as rpart, ranger and xgboost, including downsampling or weighting to acccount for the imbalanced data set. We also took computational costs into account. Both the weighted and unweighted ranger models exhibit very long running times and thereby slow down productive work. While this might not be as relevant in an official work context, it was relevant in the setting of this assignment. As we emphasized being cautious about the health of others, we intended to develop a conservative model with high sensitivity. To achieve this, we expanded the models by adjusting the classification probability cutoff points to 30% (for the positive class). Finally, the best performing models were the weighted xgboost model with adjusted cutoff points and the weighted ranger model. Sensitivity was higher in the xgboost model, while all other performance measures showed better results for the weighted ranger model without adjusted cutoff points. Therefore, we would recommend using both models complementary to predict heart disease to make use of the conservatism of the one model and the accuracy of the other.

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World Health Organization (WHO), Cardiovascular Diseases (CVDs), Fact sheets, 11 June 2021. https://www.who.int/news-room/fact-sheets/detail/cardiovascular-diseases-(cvds). Accessed 28 February 2024

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